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Forces & Changes in Motion
    Introduction to Dynamics
     Canadian Academy, Kobe
Felix Baumgartner: 14 October 2012
                 Broke world records set by Joe Kittinger in 1960

                 Quick stats:
                 • Jump height: 39,045m (Joe K: 31,300m)
                 • Max speed: 1,342.8 km/h (Joe K: 988km/h)
                 • Freefall time: 260s (Joe K: 276s)


 Joe Kittinger, 1960:                           Felix Baumgartner, 2012:               8-min news video: http://gu.com/p/3b59k




http://en.wikipedia.org/wiki/Joseph_Kittinger                       Highlight reel: http://www.youtube.com/watch?v=FHtvDA0W34I
Why did Felix have to jump from so high?
                     Karman line “space”
          The Karman line is the ‘edge of
    space’ by political definition. There is
          no true edge of space, though.




 What is terminal velocity?
 http://hypertextbook.com/facts/Ji
 anHuang.shtml




   Felix’s Jump, 2012 (39,045m)

     Joe’s Jump, 1960 (31,300m)
   At lower altitudes, air pressure (and
  density) increase – more air particles
give greater air resistance, so a slower
       terminal velocity (not enough to
             break the speed of sound).




http://en.wikipedia.org/wiki/Atmosphere_of_Earth
Class arm-wrestling competition




          Pool A                         Pool B               Pool C   Pool D




http://www.free-clipart-pictures.net/wrestling_clipart.html
Beeeeeeeeefcaaaaaaaaaaaaake!
               Explain what is happening in terms of forces.
               Can you describe the forces in terms of vectors?




                                            MrT




http://www.free-clipart-pictures.net/wrestling_clipart.html
Beeeeeeeeefcaaaaaaaaaaaaake!
               Explain what is happening in terms of forces.
               Can you describe the forces in terms of vectors?




                                            MrT




   Force is a vector – it has magnitude and direction.
   Therefore, we can create vector diagrams for force!
http://www.free-clipart-pictures.net/wrestling_clipart.html
Forces and Changes in Motion
  Unit Question: “How can interactions cause change?”
  Areas of interaction:.
      • Health and Social Education
               Making informed decisions on road and sports safety.




Criterion                        Assessment Tasks
A: One World                     “Acceleration Kills”

B: Communication in Science      “Acceleration Kills”

C: Knowledge & Understanding     Unit test, Quia Quizzes, class whiteboarding

D: Scientific Inquiry            (last unit)

E: Processing Data               Can a spring be used to accurately measure force?

F: Attitudes in Science          (last unit)
Forces and Changes in Motion
 Assessment Statements
 Describe the different common forces:
    Frictional, Normal, Tension, Spring, Air Resistance, Applied,
    Gravitational (Weight), Electrical, Magnetic

 Identify the forces, their agents and directions acting on a single object

 Explain how the magnitude of a force can be measured

 State Newton’s first law of motion: Inertia

 Draw free body diagrams

 State Newton’s second law of motion: Acceleration and define net force
 Distinguish between balanced forces (equilibrium) and unbalanced forces
 on an object
 Explain the effect of balanced or unbalanced forces on an object
 Explain the effect of mass on the acceleration of an object with a constant
 net force
 Calculate the weight of an object on Earth from its mass.

 Calculate forces and accelerations using net force statements

 State Newton’s third law of motion: Interaction

 Identify action and reaction force pairs
Little tricks to impress little kids


                                       Flick the card away with your fingernail.
                                       Explain what happens!




   Catch the coin balanced on your elbow.
                   Explain what happens!


http://www.inklesstales.com/science/coin.shtml
Explain what is going on

                        As a group explain what happens.
                        Use whiteboard and markers.
                        Don’t use any sources.
                        Nominate a speaker.
                        Present.

                        Think about:
                        - forces acting ‘before flick’
                        - forces acting ‘after flick’

   After hearing the other groups’ explanations, think
    about how you might need to modify your own.
Newton’s First Law of Motion: Inertia
  An object will not change its motion unless acted on by an unbalanced force.
            (Like a boxer’s brain)
                                                          Why might boxing with
                                                          gloves be more dangerous
                                                          than boxing without?




http://sportige.com/top-10-boxing-photos/
What do you think?

                                                          The ball needs a force to
                                                              keep it moving




                                        The ball needs a force to
                                            stop it moving.


Clipart people from: http://www.clker.com/search/krug/1
Newton’s First Law of Motion: Inertia
       An object will not change its motion
       unless acted on by an unbalanced force.
             • if it is at rest, it will stay at rest
             • if it is in motion, it will remain at the same velocity

                                                          The ball needs a force to
                                                              keep it moving




                                        The ball needs a force to
                                            stop it moving.


Clipart people from: http://www.clker.com/search/krug/1
Newton’s First Law of Motion: Inertia
         An object will not change its motion
         unless acted on by an unbalanced force.
                • if it is at rest, it will stay at rest
                • if it is in motion, it will remain at the same velocity


                 Objects with a greater mass have more inertia.
                  It takes more force to change their motion.
       300kg
                                                                            30kg




http://www.clker.com/clipart-man-push.html
Buckle up in the back…


      Explain, using the term inertia why
       wearing a seatbelt is important!




http://www.youtube.com/watch?v=e6Qhmdk4VNs&NR=1
But what are FORCES?                          Forces exert a push or a pull on an object.
Use the text or the PhysicsClassroom (http://goo.gl/umXYp) to describe different
types of forces.
    •     Give examples: object, agent and direction
    •     Can you draw free body diagrams of the examples?

 At-a-distance forces:
                                                                                 Fnorm
 Gravitational (weight) (Fgravity)
 Electrical (Felectric)
 Magnetic (Fmag)                                            Fapp                         Ffriction
                                                 Why is this arrow longer?
 Contact forces:                                                                 Fgrav
 Normal (Fnorm)
 Frictional (Ffriction)                        e.g. A book is pushed across a tabletop.
  - static
  - kinetic                                      Force                Agent        Direction
 Tension (Ftension)                              Weight (gravity)     Earth        Down
 Spring (Fspring)
                                                 Normal               Table        Up
 Applied (Fapp)
 Elastic (Felastic)                              Applied (finished)   MrT          Left
 Buoyant (Fbuoyant)
 Air resistance (Fair)                           Friction             Tabletop     Right
Mass, Weight & Gravity Force
 Mass is a measure of the amount of matter in an
 object. We measure it in kg.

 Weight is the force of the object being pulled to
 the Earth (or moon, Neptune, etc). It is measured
 in Newtons (N).

 On Earth, the force of gravity (g) is 9.8 N/kg.
 Therefore the weight of an object is its mass
 (m)multiplied by 9.8.


             Fgravity = m.g
                                                            “The” kilogram. From:
                                                            http://sicktek.com/the-standard-kilogram-is-losing-mass/




                             Fgrav                   In all of our examples and questions,
                                                      we work under the assumption that

                         m g                                     1kg = 10N
Mass vs Weight                                        In all of our examples and
                                                    questions, we work under the
Calculate the weights of these masses (on Earth):           assumption that
1. 50kg
2. 500g                                                   1kg = 10N
3. 7g
4. 1,000kg


Calculate the masses of these weights (on Earth):
1. 100N
2. 8.7N
3. 0.034N
4. 1.02 x 104N
Check out my awesome
                                                   follow-through!

                                                 It will make the ball
                                                        fly faster

                                                       It will make no
                                                      difference to the
                                                      flight of the ball

                                                   It will allow for
                                                 better control of the
                                                     ball in flight




Golfer from: http://www.clker.com/clipart-2404.html            Clipart people from: http://www.clker.com/search/krug/1
Spring Force              Describe the forces acting on the mass


                             mass       Balanced forces
     Equilibrium


                                        mass

     Stretched

     Compressed
                   mass
Spring Force              Describe the forces acting on the mass


                             mass       Balanced forces
     Equilibrium


                                               The spring is
                                        mass
                                               pulling on the mass

     Stretched

     Compressed
                                               The spring is
                   mass
                                               pushing on the mass
Using springs to measure force
                                 Can the change in shape of a spring be used
                                 to measure the magnitude of a force?
                                 Criterion E: Processing Data
                                 Attach 0 – 6 weights (each set is 0.5N (± 0.1N)
                                 Record the extension of the spring.
                                 Repeat 3 times.

                                 Calculate and plot the means with error bars
                                 as half the range.

                                 Using the equation of the line, find the
                                 weight of the mystery object (#1, #2 or #3)
 mass
                                 Compare your answer to the true value.
Equilibrium                      Calculate % error. Show your working.
                          mass
              Stretched
The bigger guy is being pulled
                                            down more by gravity

                                          The smaller guy is being
                                        pushed up less by the water

                                        They are both affected by water
                                              and gravity equally.



Clipart people from: http://www.clker.com/search/krug/1           http://www.youtube.com/watch?v=IJWlI0Q8s-I
Measuring common forces
Gravity:
- Masses with different Newton-meters

Bouyancy Force                         How do the range and
- Use the Logger Pro setup        uncertainties of each of our
                                   Newton-meters compare?

Tension Force
- String and Newton-meter setup

Normal Force
- Bathroom scales
- LoggerPro force plate           Set up the buoyancy-meter
                                   like this. Do not get it wet.
Frictional Forces:              Submerge them most of the
- Static                            way and be consistent.
- Kinetic
- Different surfaces                ⌘ 0 will zero the sensor.
- Effect of weight
What happens when the 500g mass
                                           is attached to two Newton-meters?




                                               Both meters will read 5N


                                               They will both read 2.5N


                                         The top one will read 5N and the
                                            bottom one will read zero.




Clipart people from: http://www.clker.com/search/krug/1
Pull




        The second Newton
                                       What do you think….
       meter will read higher
          than the first.                 … and WHY?


                      Both Newton meters
                       will read the same


         The first newton
       meter will read higher
         than the second
Water pushes
 them all equally
because they have
the same volume

Water pushes them
all equally because
they have the same
      density

 Water pushes them all
 equally because they
have the same buoyancy
What would happen to
the readings if the water
 were extremely salty?

 What would happen to
    the air and water
readings if the aluminium
block was re-shaped into
    a bigger volume?
87kg                          66kg


                          100N                         100N



                        Who weighs more on the bathroom scales?




Image source unknown.
87kg                           66kg


                            100N                         100N



                          Who weighs more on the bathroom scales?


                              77kg Fgrav 76kg
                                        m g
                        Free body diagrams are vector diagrams.
                        They show the direction and magnitude of
                                       each force.
                         Draw free body diagrams for the forces
                                   acting on the men.
Image source unknown.
87kg                           66kg


 870N FN (scale)            100N                         100N       660N FN (scale)



 100N FN (sink)           Who weighs more on the bathroom scales?


                              77kg Fgrav 76kg                       100N FN (sink)
 870N Fg
                                        m g
                        Free body diagrams are vector diagrams.
                                                                    660N Fg
                        They show the direction and magnitude of
                                       each force.
                         Draw free body diagrams for the forces
                                  acting on the men.
Image source unknown.
Free Body Diagrams
Free body diagrams are vector diagrams. They show the direction and magnitude of the
forces acting on an object. Forces are drawn as arrows acting from the centre of a box
representing the object.

 Can you identify:
 the slowing car, the accelerating bike,                               FN
 the launching angry bird and the sinking stone?

                                Fapplied               Fapplied                  Ffriction
      Fbuoyant
                                                                       Fg


                                                                            FN
      Fgravity                  Fgravity                Ffriction
                                                                            Fg
Free Body Diagrams                                   Free body art-attack




All free clipart images from: http://www.clker.com
Free Body Diagrams                                        Free body art-attack




                                         Accelerating 




All free clipart images from: http://www.clker.com
Free Body Diagrams                                     Free body art-attack




                                      Accelerating 




All free clipart images from: http://www.clker.com
Free Body Diagrams                                     Free body art-attack




                                      Accelerating 




All free clipart images from: http://www.clker.com
Free Body Diagrams                                   Free body art-attack




All free clipart images from: http://www.clker.com
Free Body Diagrams                                   Free body art-attack




All free clipart images from: http://www.clker.com
Free Body Diagrams                                   Free body art-attack




All free clipart images from: http://www.clker.com
Free Body Diagrams                                        Free body art-attack




                                         Accelerating 




                                      Accelerating 




All free clipart images from: http://www.clker.com
The Earth has a larger mass, so
                                                         pulls the moon harder than the
                                                               moon pulls the Earth

                                                                  The Earth and the moon pull on
                                                                        each other equally.

                                  The moon pulls more on the Earth
                                  than the Earth does on the moon.




http://wallpaperart.altervista.org/Immagini/luna-terra-sfondo-1280x800.jpg
The Earth has a larger mass, so
                                                         pulls the moon harder than the
                                                               moon pulls the Earth

                                                                  The Earth and the moon pull on
                                                                        each other equally.

                                  The moon pulls more on the Earth
                                  than the Earth does on the moon.




                                Check out the answer here:
                                     it might surprise you!
http://wallpaperart.altervista.org/Immagini/luna-terra-sfondo-1280x800.jpg
Newton’s Third Law of Motion: Interaction
 For every action, there is an equal and opposite reaction.
    • In all interactions
    • Regardless of mass or size




                                   http://photo-dict.faqs.org/phrase/630/Newton's-Cradle.html
Newton’s Third Law of Motion: Interaction
   For every action, there is an equal and opposite reaction.
          • In all interactions
          • Regardless of mass or size




   FBD for the man
                                                  FBD for the block




http://www.clker.com/clipart-man-push.html
Newton’s Third Law of Motion: Interaction
   For every action, there is an equal and opposite reaction.
          • In all interactions
          • Regardless of mass or size

              FNormal
                                                       FNormal

   FNormal                                                 FNormal
   (block)
                        Fg                        Fg         (man)


   FBD for the man
                                                  FBD for the block




http://www.clker.com/clipart-man-push.html
Newton’s Third Law of Motion: Interaction
   For every action, there is an equal and opposite reaction.
          • In all interactions
          • Regardless of mass or size

                                                      FNormal           FNormal

                                             FNormal                        FNormal
                                             (block                           (man)
                                             )             Fg      Fg




                                                          The normal forces of the man acting on the block and
                                                           the block acting on the man are equal and opposite.
                                                                      They are a reaction force pair.
http://www.clker.com/clipart-man-push.html                     What other reaction force pairs can you see?
Newton’s Third Law of Motion: Interaction
   For every action, there is an equal and opposite reaction.
          • In all interactions
          • Regardless of mass or size       This means forces are in
                                               reaction force pairs.




http://www.clker.com/clipart-man-push.html
Newton’s Third Law of Motion: Interaction
  For every action, there is an equal and opposite reaction.
        • In all interactions
        • Regardless of mass or size                       This means forces are in
  Identify the reaction force pairs in
                                                             reaction force pairs.
  these situations and draw force pair diagrams:
  Extension – the information in green will help you label the magnitude of the forces.

  1.   A (70kg) person standing on a desk
  2.   A (100g) ball (slows from 20ms-1 0ms-1 in 0.1s when it) hits a wall.
  3.   A bow pushes an arrow forward with a force of 50N.
  4.   A bike tyre pushes down on the ground. (The bike weighs 20kg).
  5.   A rocket pushes hot air down and out, so that it takes off.


  1. How many reaction force pairs can you identify here?




http://www.canstockphoto.com/illustration/dribbling.html
The harder he pushes, the
                                                     faster it moves.


                                                   The harder he
                                               pushes, the greater the
                                                   acceleration.

                                      He needs to keep pushing
                                         harder to maintain
                                          constant velocity.




http://www.clker.com/clipart-man-push.html
Free body diagrams, force and acceleration
http://phet.colorado.edu/en/simulation/forces-and-motion
Set up the investigation like this:
Free body diagrams, force and acceleration
http://phet.colorado.edu/en/simulation/forces-and-motion
Draw free body diagrams
(include labels, forces and Net force if it is present):
- Pushing less than the force of static friction
- Pushing just more than static friction
- Letting go immediately after the crate moves                      100kg crate, wood floor

Identify: Static Friction       Crate ____ N Fridge ____ N
          Kinetic Friction      Crate ____ N Fridge ____ N
Explain what happens to the velocity and acceleration of the objects
when the following are applied:
- A constant force
- A force which is let go                                            200kg fridge, wood floor
Compare changes in velocity and acceleration between the 100kg
crate and 200kg fridge.

Set up the experiment again with ice and bouncy walls.
What happens to the graphs and free body diagrams now?

                                                                   100kg crate, ice floor, bouncy walls
Free body diagrams, force and acceleration
http://phet.colorado.edu/en/simulation/forces-and-motion
Draw free body diagrams
(include labels, forces and Net force (Sum) if it is present):
- Pushing less than the force of static friction
- Pushing just more than static friction
- Letting go immediately after the crate moves                      100kg crate, wood floor


                FN                              FN        FNet       FNet FN


  F fr static        Fapplied         Ffr kinetic        Fapplied   Ffr kinetic
                Fg                                  Fg                            Fg

    What happens to the                      What is the                    What is the
    applied force and the                 significance of the            significance of the
  static friction force as the            magnitude of the               magnitude of the
   applied force increases                 Net force vector?              Net force vector?
  (but the crate stays still)?
Net Force and Free Body Diagrams
Net force is a the sum of the forces acting on an object. It is a vector – direction and
magnitude of each force are important.
  y              We consider the forces acting in the same plane
                 (not perpendicular to each other).
             x
                                                         Fapplied
      Fbuoyant                                              200N
        4.5N




                                                         Fgravity
                     ∑Fy = 4.5N – 9N                                 ∑Fy = 200N – 80N
      Fgravity                                              80N
        9.0N             = -4.5N                                         = 120N

                      ∑Fx = 0                                         ∑Fx = 0
Net Force and Free Body Diagrams
Net force is a the sum of the forces acting on an object. It is a vector – direction and
magnitude of each force are important.
  y              We consider the forces acting in the same plane
                 (not perpendicular to each other).
             x
                                                         Fapplied
      Fbuoyant                                              200N
        4.5N
                                                                       ∑Fy = 120N
               ∑Fy = -4.5N

                                                         Fgravity
                     ∑Fy = 4.5N – 9N                                 ∑Fy = 200N – 80N
      Fgravity                                              80N
        9.0N             = -4.5N                                         = 120N

                      ∑Fx = 0                                         ∑Fx = 0
Net Force and Free Body Diagrams
Net force is a the sum of the forces acting on an object. It is a vector – direction and
magnitude of each force are important.
  y               We consider the forces acting in the same plane
                  (not perpendicular to each other).
             x
                             FN                                              FN
                                  80N                                             80N
        160N                                               160N
         Ffriction                                         Fapplied                     Ffriction
                             Fg                                              Fg             80N
                                  80N                                             80N


                                                               ∑Fy =
                 ∑Fy =

                                                               ∑Fx =
                 ∑Fx =
Net Force and Free Body Diagrams
Net force is a the sum of the forces acting on an object. It is a vector – direction and
magnitude of each force are important.
  y              We consider the forces acting in the same plane
                 (not perpendicular to each other).
             x
                             FN                                              FN
                                  80N                                             80N
        160N                                               160N
         Ffriction                                         Fapplied                     Ffriction
                             Fg                                              Fg             80N
                                  80N                                             80N
               ∑Fx = -160N                                ∑Fx = -80N

                                                               ∑Fy = 80N – 80N
                 ∑Fy = 80N – 80N
                                                                   = 0N
                     = 0N
                                                               ∑Fx = 160 – 80N
                 ∑Fx = -160N (left)
                                                                   = -80N (left)
Free body diagrams, force and acceleration                             200kg
http://phet.colorado.edu/en/simulation/forces-and-motion           100kg
  Which set of graphs represents the 100kg crate and which
  one is the 200kg fridge? How do you know?




                                              Force (N)
                                             Acceleration
                                                (ms-2)
                                           Velocity
                                            (ms-1)




                        Time (s)                             Time (s)
Free body diagrams, force and acceleration
http://phet.colorado.edu/en/simulation/forces-and-motion
  Which set of graphs represents the 100kg crate and which
  one is the 200kg fridge? How do you know?




                                              Force (N)
                                      Same force




                                             Acceleration
                                                (ms-2)
                                           Velocity
                                            (ms-1)




                        Time (s)                             Time (s)
Newton’s Second Law of Motion: Acceleration
  Unbalanced forces produce motion. Acceleration is
  directly proportional to the net force and inversely
  proportional to the mass of the object.
     • Bigger net forces, greater acceleration*
     • Larger masses, smaller acceleration#




                             F   net


                      m a
Newton’s Second Law of Motion: Acceleration
    Unbalanced forces produce motion. Acceleration is
    directly proportional to the net force and inversely
    proportional to the mass of the object.
          • Bigger net forces, greater acceleration*
          • Larger masses, smaller acceleration#


 *If the forces are unbalanced,                  Balanced forces give inertia
                                                       - constant velocity


                                       F
 there is a net force – and so there
                                                                     - rest
 must be acceleration!

                                           net


                                 m a
 #The  heavier it is, the less                                   Acceleration due to
 it will accelerate (more                                         gravity is 9.8ms-2
 mass = more inertia)
Huh?
       Acceleration due to
        gravity is 9.8ms-2
Explain this:
                                                   5kg                           1kg




                                               Why do they hit the ground at the same time?
                                               Are the forces acting on them the same?
  http://www.youtube.com/watch?v=_mCC-68LyZM
Explain this:
                                                   5kg                           1kg




                                               Why do they hit the ground at the same time?
                                               Are the forces acting on them the same?
  http://www.youtube.com/watch?v=_mCC-68LyZM



                                               F = m.a



                                               F = m.a
                     Acceleration due to
                      gravity is 9.8ms-2
It takes a greater force to accelerate a larger mass.
                                                              5kg                           1kg
                                                                 49N              9.8N




                                                          Why do they hit the ground at the same time?
                                                          Are the forces acting on them the same?
  http://www.youtube.com/watch?v=_mCC-68LyZM



                                                          F = m.a
                                         More inertia       = 5kg x 9.8ms-2
                                                            = 49N             Different forces.
                                                                              Same acceleration.
                                           Less inertia   F = m.a
                                                            = 1kg x 9.8ms-2
                     Acceleration due to
                      gravity is 9.8ms-2                    = 9.8N
Now can you explain this?




                                             Why do they hit the ground at the same time?
                                             Are the forces acting on them the same?
                                             Would it be the same on Earth? Why?
http://www.youtube.com/watch?v=-4_rceVPVSY
Newton’s Second Law of Motion: Acceleration
  Try these calculations.
  In each case, assume no friction or air resistance.

  1. A 5kg object accelerates at 2ms-2.
     Calculate the net force.


                                                                          Remember:
                                                                          Force is in Newtons.
  2. A 5N net force causes an object to accelerate at 3ms-2.              Mass is in kg.
     Calculate the mass of the object.                                    Acceleration is in ms-2

                                                                          So you might need to
                                                                          adjust units sometimes.

  3. A 250N net force acts on a 10kg object .
     Calculate the acceleration of the object.




Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
Newton’s Second Law of Motion: Acceleration
  Try these calculations.
  In each case, assume no friction or air resistance.

  1. A 5kg object accelerates at 2ms-2.
     Calculate the net force.

        F = m.a             so F = 5 x 2 = 10N
                                                                          Remember:
                                                                          Force is in Newtons.
  2. A 5N net force causes an object to accelerate at 3ms-2.              Mass is in kg.
     Calculate the mass of the object.                                    Acceleration is in ms-2

                                                                          So you might need to
                                                                          adjust units sometimes.

  3. A 250N net force acts on a 10kg object .
     Calculate the acceleration of the object.




Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
Newton’s Second Law of Motion: Acceleration
  Try these calculations.
  In each case, assume no friction or air resistance.

  1. A 5kg object accelerates at 2ms-2.
     Calculate the net force.

        F = m.a             so F = 5 x 2 = 10N
                                                                          Remember:
                                                                          Force is in Newtons.
  2. A 5N net force causes an object to accelerate at 3ms-2.              Mass is in kg.
     Calculate the mass of the object.                                    Acceleration is in ms-2

                                                                          So you might need to
        m = F/a             so m = 5/3 = 1.67kg                           adjust units sometimes.

  3. A 250N net force acts on a 10kg object .
     Calculate the acceleration of the object.




Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
Newton’s Second Law of Motion: Acceleration
  Try these calculations.
  In each case, assume no friction or air resistance.

  1. A 5kg object accelerates at 2ms-2.
     Calculate the net force.

        F = m.a             so F = 5 x 2 = 10N
                                                                          Remember:
                                                                          Force is in Newtons.
  2. A 5N net force causes an object to accelerate at 3ms-2.              Mass is in kg.
     Calculate the mass of the object.                                    Acceleration is in ms-2

                                                                          So you might need to
        m = F/a             so m = 5/3 = 1.67kg                           adjust units sometimes.

  3. A 250N net force acts on a 10kg object .
     Calculate the acceleration of the object.


        a = F/m             so a = 250/10 = 25ms-2

Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
Newton’s Second Law of Motion: Acceleration
   Try these calculations.
   In each case, assume no friction or air resistance.

   1. A 5kg object accelerates from rest to 5ms-1 in 2s.
      Calculate the net force.




   2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s.
      Calculate the mass of the object.




   3. A 250N net force acts on a 10kg object at rest.
      Calculate the velocity of the object after 7 seconds.




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   Try these calculations.
   In each case, assume no friction or air resistance.

   1. A 5kg object accelerates from rest to 5ms-1 in 2s.
      Calculate the net force.




   2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s.
                                                                                     ∆v
      Calculate the mass of the object.                                              ∆t

   3. A 250N net force acts on a 10kg object at rest.
      Calculate the velocity of the object after 7 seconds.




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   Try these calculations.
   In each case, assume no friction or air resistance.

   1. A 5kg object accelerates from rest to 5ms-1 in 2s.
      Calculate the net force.
     F = 5.(5/2) so F = 5 x 2.5 = 12.5N

   2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s.
                                                                                     ∆v
      Calculate the mass of the object.                                              ∆t

   3. A 250N net force acts on a 10kg object at rest.
      Calculate the velocity of the object after 7 seconds.




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   Try these calculations.
   In each case, assume no friction or air resistance.

   1. A 5kg object accelerates from rest to 5ms-1 in 2s.
      Calculate the net force.
     F = 5.(5/2) so F = 5 x 2.5 = 12.5N

   2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s.
                                                                                          ∆v
      Calculate the mass of the object.                                                   ∆t
     m = 5/(-3/0.5) so F = 5/-6 = 0.83kg
                                                              You can’t have negative mass!


   3. A 250N net force acts on a 10kg object at rest.
      Calculate the velocity of the object after 7 seconds.




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   Try these calculations.
   In each case, assume no friction or air resistance.

   1. A 5kg object accelerates from rest to 5ms-1 in 2s.
      Calculate the net force.
     F = 5.(5/2) so F = 5 x 2.5 = 12.5N

   2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s.
                                                                                          ∆v
      Calculate the mass of the object.                                                   ∆t
     m = 5/(-3/0.5) so F = 5/-6 = 0.83kg
                                                              You can’t have negative mass!


   3. A 250N net force acts on a 10kg object at rest.
      Calculate the velocity of the object after 7 seconds.

     a = F/m ∆v/∆t = F/m                          ∆v/7s = 250N/10kg
                                                       v = 25Nkg-1 x 7
                                                        v = 175ms-1
Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N

        m               a




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N
                                   ∆v
        m               a           8s




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N                                30kmh-1 - 22.8kmh-1

                                   ∆v
        m               a           8s                                  Units!




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N                                – 7.2kmh-1
                                                               = -2ms-1
                                   ∆v               3.6

        m               a           8s                            1ms-1 = 3.6kmh-1




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N
                                   -2ms-1
        m                a              8s




Practice: http://www.quia.com/quiz/3327710.html
Newton’s Second Law of Motion:
   A more complex example. Try using triangles and don’t forget the units.

   A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in
   8 seconds. Calculate the mass of the bike. Assume no air resistance.



               17N

        m           -0.25ms-2             m = 17/0.25 = 68kg
                                                            You can’t have negative mass!




Practice: http://www.quia.com/quiz/3327710.html
More complex problems                                    Assume gravity on
                                                         Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                 y
- Write Net force statements
- Use the Net force statements to answer the question                x

Example 1:
A 2.50kg book sits on a desk. Determine the magnitude of the
force the desk must apply on the book to keep it from falling.




    2.5kg
More complex problems                                    Assume gravity on
                                                         Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                 y
- Write Net force statements
- Use the Net force statements to answer the question                x

Example 1:
A 2.50kg book sits on a desk. Determine the magnitude of the
force the desk must apply on the book to keep it from falling.

                                ∑Fy = Normal – gravity = 0
                     FN          ∑Fx = 0
                       ___N
    2.5kg




                     Fgravity
                       ___N
More complex problems                                    Assume gravity on
                                                         Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                 y
- Write Net force statements
- Use the Net force statements to answer the question                x

Example 1:
A 2.50kg book sits on a desk. Determine the magnitude of the
force the desk must apply on the book to keep it from falling.

                                ∑Fy = Normal – (2.5kg x 10N/kg) = 0
                     FN         ∑Fx = 0
                       ___N
    2.5kg




                     Fgravity
                       ___N
More complex problems                                    Assume gravity on
                                                         Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                 y
- Write Net force statements
- Use the Net force statements to answer the question                x

Example 1:
A 2.50kg book sits on a desk. Determine the magnitude of the
force the desk must apply on the book to keep it from falling.

                                ∑Fy = Normal – 25N = 0
                     FN         ∑Fx = 0
                       ___N
    2.5kg
                                   Normal – 25N = 0
                                            Normal = 25N
                     Fgravity
                       ___N
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
                             ∑Fx                ∑Fx = m.a
                  FN                               =
                                                   =

                                                Fapp = ∑Fx + Ffr
          Ffr            Fapp
                                                     =
                  Fgravity
                                                              ∑Fx = ?
                                                              ∑Fy = ?
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
                             ∑Fx = ?N           ∑Fx = m.a
                  FN                               =
                     1000N                         =

                                                Fapp = ∑Fx + Ffr
          Ffr            Fapp
      75N                          ?N                =
                  Fgravity
                     1000N                                    ∑Fx = ?
                                                              ∑Fy = 0
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
                             ∑Fx = ?N           ∑Fx = m.a
                  FN                               = 100 x 2
                     1000N                         =

                                                Fapp = ∑Fx + Ffr
          Ffr            Fapp
      75N                          ?N                =
                  Fgravity
                     1000N                                    ∑Fx = ?
                                                              ∑Fy = 0
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
                             ∑Fx = 200N         ∑Fx = m.a
                  FN                               = 100 x 2
                     1000N                         = 200N

                                                Fapp = ∑Fx + Ffr
          Ffr            Fapp
      75N                         ?N                 = ?N (right)
                  Fgravity
                     1000N                                    ∑Fx = 200N
                                                              ∑Fy = 0
More complex problems                                      Assume gravity on
                                                           Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                   y
- Write Net force statements
- Use the Net force statements to answer the question                  x

Example 2:
A 100kg fridge is pushed to the right along a floor with an
acceleration of 2ms-2. It is opposed by a friction force of 75N.
Calculate the applied force.
                             ∑Fx = 200N         ∑Fx = m.a
                  FN                               = 100 x 2
                     1000N                         = 200N

                                                Fapp = ∑Fx + Ffr
          Ffr            Fapp
      75N                       275N                 = 275N (right)
                  Fgravity
                     1000N                                    ∑Fx = 200N
                                                              ∑Fy = 0
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.


    FThrust
            ___N
                     ∑Fy




    Fg                                                                              85kg

     Fair   ___N
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.
                                ∑Fy =
    FThrust                      ∑Fx = 0
            ___N
                     ∑Fy




    Fg                                                                              85kg

     Fair   ___N
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.
                                ∑Fy = FThrust – Fg – Fair
    FThrust                      ∑Fx = 0
            ___N
                     ∑Fy




    Fg      ____N                                                                   85kg

     Fair   ___N
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.
                                ∑Fy = 1800 – 850 – Fair
    FThrust                      ∑Fx = 0
            1800N
                   ∑Fy          ∑Fy =
                                    =

    Fg                          Fair = 1800 – 850 – ∑Fy
            850N                                                                    85kg
                                     =
     Fair     ?N                      =
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.
                                ∑Fy = 1800 – 850 – Fair
    FThrust                      ∑Fx = 0
            1800N
                   ∑Fy          ∑Fy = 85kg x 2ms-2
                                    = 170N

    Fg                          Fair = 1800 – 850 – ∑Fy
            850N                                                                    85kg
                                     = 1800 – 850 – 170
     Fair     ?N                      =
More complex problems                                        Assume gravity on
                                                             Earth is 10N per kg.
In these problems, you will need to:
- Draw a free body diagram (with all relevant forces)
                                                                  y
- Write Net force statements
- Use the Net force statements to answer the question                   x

Example 3:
An 85kg rocket has a thrust force of 1800N. It accelerates
upwards at 2ms-2. Determine the magnitude of air
resistance against the rocket.
                                ∑Fy = 1800 – 850 – Fair
    FThrust                      ∑Fx = 0                                            85kg
            1800N
                   ∑Fy          ∑Fy = 85kg x 2ms-2
                                    = 170N

    Fg                          Fair = 1800 – 850 – ∑Fy
            850N                     = 1800 – 850 – 170
     Fair     ?N                      = 780N (down)
Make your own problems
In a drag race, the drivers apply the accelerator as hard as possible
until they cross the finish line. A parachute deploys to stop them.
Sometimes the parachute fails and they go into the sand.




                                                                               Parachute-less drag racer:
                                                                               http://www.youtube.com/watch?v=VxY7zXE0Hjc

                                                                                     ¼ mile = 400m               y
                                                                               Fair + Ffriction = 2000N                 x




                                   1250kg, 250kmh-1                     1300kg, 257kmh-1         Mass, top speed
Can you fix these incorrect laws of motion?




                                 http://www.veritasium.com/
Speed kills…




http://www.bikeroute.com/Recumbents/News/Archives/000054.html   http://www.hurst-pc.org.uk/news/vas.html
…or does it?


The ISS orbits the Earth at a
constant velocity of around
7.7-7.6 kms-1 (~27 500 kmh-1)

So why are the astronauts OK?




http://science.nationalgeographic.com/science/space/space-exploration/international-space-station-article/
Fatal Accelerations
         "The NHTSA standard for a sudden impact
          acceleration on a human that would cause
          severe injury or death is 75 g's for a "50th
        percentile male", 65 g's for a "50th percentile
       female", and 50 g's for a "50th percentile child".
These figures assume the human is taking the impact on the chest/stomach, the
   back, sides or the head. The average value is about 65 g's, so I used that for the
   fatal impact acceleration on a human being.”

Reed, Kevin. Re: In a vacuum, can an ant survive a fall that would kill a human? MadSci Network. 4 November 2003.
Follow the GoogleDoc link from MrT
Criterion A: One World
  Level   Level descriptor
    0     The student does not reach a standard described by any of the descriptors below.

   1–2    The student states how science is applied and how it may be used to address a specific problem or issue in a local or global context.
          The student states the effectiveness of science and its application in solving the problem or issue.

   3–4    The student describes how science is applied and how it may be used to address a specific problem or issue in a local or global context.
          The student describes the effectiveness of science and its application in solving the problem or issue.
          The student describes the implications of the use and application of science interacting with at least one of the following factors: moral,
          ethical, social, economic, political, cultural and environmental.

   5–6    The student explains how science is applied and how it may be used to address a specific problem or issue in a local or global context.
          The student discusses the effectiveness of science and its application in solving the problem or issue.
          The student discusses and evaluates the implications of the use and application of science interacting with at least two of the following
          factors: moral, ethical, social, economic, political, cultural and environmental.

 Students should be able to:
 • explain the ways in which science is applied and used to address a specific problem or issue
 • discuss the effectiveness of science and its application in solving the problem or issue
 • discuss and evaluate the moral, ethical, social, economic, political, cultural and environmental
   implications of the use of science and its application in solving specific problems or issues.

 Describe: to give a detailed account.
 Discuss: to give an account including, where possible, a range of arguments for and against the
 relative importance of various factors and comparisons of alternative hypotheses.
 Evaluate: to assess the implications and limitations.
 Explain : to give a clear account, including causes and reasons or mechanisms.
 State: to give a specific name, value or other brief answer without explanation or calculation.
Criterion B: Communication in Science
  Level   Level descriptor
    0     The student does not reach a standard described by any of the descriptors below.

   1–2    The student uses a limited range of scientific language correctly.
          The student communicates scientific information with limited effectiveness.
          When appropriate to the task, the student makes little attempt to document sources of information.

   3–4    The student uses some scientific language correctly.
          The student communicates scientific information with some effectiveness.
          When appropriate to the task, the student partially documents sources of information.

   5–6    The student uses sufficient scientific language correctly.
          The student communicates scientific information effectively.
          When appropriate to the task, the student fully documents sources of information correctly.

 Students should be able to:
 • use scientific language correctly
 • use appropriate communication modes and formats
 • acknowledge the work of others and the sources of information used by appropriately documenting
   them using a recognized referencing system.
 • Suitable assessment tasks for criterion B include scientific investigation reports, research essays,
   case studies, written responses, debates and multimedia presentations among others.

 Students should be able to use different communication modes, including verbal (oral, written) and visual (graphic,
 symbolic), as well as appropriate communication formats (laboratory reports, essays, and multimedia presentations)
 to effectively communicate scientific ideas, theories, findings and arguments in science

 Document: to credit fully all sources of information used by referencing (or citing), following one recognized
 referencing system. References should be included in the text and also at the end of the piece of work in a reference
 list or bibliography.
More free body diagrams…
                                        y                               ∑Fx = N         FN
                      FN
                                                    x                                   Ffriction
                                                                   870N (scale)
  Fapplied             Ffriction
                                                  Fbuoyant              Ftension        Fg
                 Fg
                               FN                                       Ftension
      FN                                                                                Fapplied
                                            Fg
        Ffriction Fapplied         FN                                         Fspring   Fspring
                                                                Fg
                                                    Fair
 Fg                        FN F
                                g                                                       Ftension

                                             Fg                               Fg         Fbuoyant
      Fapplied         Ffriction                             Felastic                    Felastic
                  Fg                             Fapplied
                                                                                         Fair
                                                                        Fg
What do you think?




                                    Ideas based on
                               Concept Cartoons:
                             http://www.conceptcartoons.com




Clipart people from: http://www.clker.com/search/krug/1
@IBiologyStephen                                         Please consider a donation to charity via Biology4Good.
                                         Click here for more information about Biology4Good charity donations.
                   This is a Creative Commons presentation. It may be linked and embedded but not sold or re-hosted.

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Forces & Changes in Motion

  • 1. Forces & Changes in Motion Introduction to Dynamics Canadian Academy, Kobe
  • 2. Felix Baumgartner: 14 October 2012 Broke world records set by Joe Kittinger in 1960 Quick stats: • Jump height: 39,045m (Joe K: 31,300m) • Max speed: 1,342.8 km/h (Joe K: 988km/h) • Freefall time: 260s (Joe K: 276s) Joe Kittinger, 1960: Felix Baumgartner, 2012: 8-min news video: http://gu.com/p/3b59k http://en.wikipedia.org/wiki/Joseph_Kittinger Highlight reel: http://www.youtube.com/watch?v=FHtvDA0W34I
  • 3. Why did Felix have to jump from so high? Karman line “space” The Karman line is the ‘edge of space’ by political definition. There is no true edge of space, though. What is terminal velocity? http://hypertextbook.com/facts/Ji anHuang.shtml Felix’s Jump, 2012 (39,045m) Joe’s Jump, 1960 (31,300m) At lower altitudes, air pressure (and density) increase – more air particles give greater air resistance, so a slower terminal velocity (not enough to break the speed of sound). http://en.wikipedia.org/wiki/Atmosphere_of_Earth
  • 4. Class arm-wrestling competition Pool A Pool B Pool C Pool D http://www.free-clipart-pictures.net/wrestling_clipart.html
  • 5. Beeeeeeeeefcaaaaaaaaaaaaake! Explain what is happening in terms of forces. Can you describe the forces in terms of vectors? MrT http://www.free-clipart-pictures.net/wrestling_clipart.html
  • 6. Beeeeeeeeefcaaaaaaaaaaaaake! Explain what is happening in terms of forces. Can you describe the forces in terms of vectors? MrT Force is a vector – it has magnitude and direction. Therefore, we can create vector diagrams for force! http://www.free-clipart-pictures.net/wrestling_clipart.html
  • 7. Forces and Changes in Motion Unit Question: “How can interactions cause change?” Areas of interaction:. • Health and Social Education Making informed decisions on road and sports safety. Criterion Assessment Tasks A: One World “Acceleration Kills” B: Communication in Science “Acceleration Kills” C: Knowledge & Understanding Unit test, Quia Quizzes, class whiteboarding D: Scientific Inquiry (last unit) E: Processing Data Can a spring be used to accurately measure force? F: Attitudes in Science (last unit)
  • 8. Forces and Changes in Motion Assessment Statements Describe the different common forces: Frictional, Normal, Tension, Spring, Air Resistance, Applied, Gravitational (Weight), Electrical, Magnetic Identify the forces, their agents and directions acting on a single object Explain how the magnitude of a force can be measured State Newton’s first law of motion: Inertia Draw free body diagrams State Newton’s second law of motion: Acceleration and define net force Distinguish between balanced forces (equilibrium) and unbalanced forces on an object Explain the effect of balanced or unbalanced forces on an object Explain the effect of mass on the acceleration of an object with a constant net force Calculate the weight of an object on Earth from its mass. Calculate forces and accelerations using net force statements State Newton’s third law of motion: Interaction Identify action and reaction force pairs
  • 9. Little tricks to impress little kids Flick the card away with your fingernail. Explain what happens! Catch the coin balanced on your elbow. Explain what happens! http://www.inklesstales.com/science/coin.shtml
  • 10. Explain what is going on As a group explain what happens. Use whiteboard and markers. Don’t use any sources. Nominate a speaker. Present. Think about: - forces acting ‘before flick’ - forces acting ‘after flick’ After hearing the other groups’ explanations, think about how you might need to modify your own.
  • 11. Newton’s First Law of Motion: Inertia An object will not change its motion unless acted on by an unbalanced force. (Like a boxer’s brain) Why might boxing with gloves be more dangerous than boxing without? http://sportige.com/top-10-boxing-photos/
  • 12. What do you think? The ball needs a force to keep it moving The ball needs a force to stop it moving. Clipart people from: http://www.clker.com/search/krug/1
  • 13. Newton’s First Law of Motion: Inertia An object will not change its motion unless acted on by an unbalanced force. • if it is at rest, it will stay at rest • if it is in motion, it will remain at the same velocity The ball needs a force to keep it moving The ball needs a force to stop it moving. Clipart people from: http://www.clker.com/search/krug/1
  • 14. Newton’s First Law of Motion: Inertia An object will not change its motion unless acted on by an unbalanced force. • if it is at rest, it will stay at rest • if it is in motion, it will remain at the same velocity Objects with a greater mass have more inertia. It takes more force to change their motion. 300kg 30kg http://www.clker.com/clipart-man-push.html
  • 15. Buckle up in the back… Explain, using the term inertia why wearing a seatbelt is important! http://www.youtube.com/watch?v=e6Qhmdk4VNs&NR=1
  • 16. But what are FORCES? Forces exert a push or a pull on an object. Use the text or the PhysicsClassroom (http://goo.gl/umXYp) to describe different types of forces. • Give examples: object, agent and direction • Can you draw free body diagrams of the examples? At-a-distance forces: Fnorm Gravitational (weight) (Fgravity) Electrical (Felectric) Magnetic (Fmag) Fapp Ffriction Why is this arrow longer? Contact forces: Fgrav Normal (Fnorm) Frictional (Ffriction) e.g. A book is pushed across a tabletop. - static - kinetic Force Agent Direction Tension (Ftension) Weight (gravity) Earth Down Spring (Fspring) Normal Table Up Applied (Fapp) Elastic (Felastic) Applied (finished) MrT Left Buoyant (Fbuoyant) Air resistance (Fair) Friction Tabletop Right
  • 17. Mass, Weight & Gravity Force Mass is a measure of the amount of matter in an object. We measure it in kg. Weight is the force of the object being pulled to the Earth (or moon, Neptune, etc). It is measured in Newtons (N). On Earth, the force of gravity (g) is 9.8 N/kg. Therefore the weight of an object is its mass (m)multiplied by 9.8. Fgravity = m.g “The” kilogram. From: http://sicktek.com/the-standard-kilogram-is-losing-mass/ Fgrav In all of our examples and questions, we work under the assumption that m g 1kg = 10N
  • 18. Mass vs Weight In all of our examples and questions, we work under the Calculate the weights of these masses (on Earth): assumption that 1. 50kg 2. 500g 1kg = 10N 3. 7g 4. 1,000kg Calculate the masses of these weights (on Earth): 1. 100N 2. 8.7N 3. 0.034N 4. 1.02 x 104N
  • 19. Check out my awesome follow-through! It will make the ball fly faster It will make no difference to the flight of the ball It will allow for better control of the ball in flight Golfer from: http://www.clker.com/clipart-2404.html Clipart people from: http://www.clker.com/search/krug/1
  • 20. Spring Force Describe the forces acting on the mass mass Balanced forces Equilibrium mass Stretched Compressed mass
  • 21. Spring Force Describe the forces acting on the mass mass Balanced forces Equilibrium The spring is mass pulling on the mass Stretched Compressed The spring is mass pushing on the mass
  • 22. Using springs to measure force Can the change in shape of a spring be used to measure the magnitude of a force? Criterion E: Processing Data Attach 0 – 6 weights (each set is 0.5N (± 0.1N) Record the extension of the spring. Repeat 3 times. Calculate and plot the means with error bars as half the range. Using the equation of the line, find the weight of the mystery object (#1, #2 or #3) mass Compare your answer to the true value. Equilibrium Calculate % error. Show your working. mass Stretched
  • 23. The bigger guy is being pulled down more by gravity The smaller guy is being pushed up less by the water They are both affected by water and gravity equally. Clipart people from: http://www.clker.com/search/krug/1 http://www.youtube.com/watch?v=IJWlI0Q8s-I
  • 24. Measuring common forces Gravity: - Masses with different Newton-meters Bouyancy Force How do the range and - Use the Logger Pro setup uncertainties of each of our Newton-meters compare? Tension Force - String and Newton-meter setup Normal Force - Bathroom scales - LoggerPro force plate Set up the buoyancy-meter like this. Do not get it wet. Frictional Forces: Submerge them most of the - Static way and be consistent. - Kinetic - Different surfaces ⌘ 0 will zero the sensor. - Effect of weight
  • 25. What happens when the 500g mass is attached to two Newton-meters? Both meters will read 5N They will both read 2.5N The top one will read 5N and the bottom one will read zero. Clipart people from: http://www.clker.com/search/krug/1
  • 26. Pull The second Newton What do you think…. meter will read higher than the first. … and WHY? Both Newton meters will read the same The first newton meter will read higher than the second
  • 27. Water pushes them all equally because they have the same volume Water pushes them all equally because they have the same density Water pushes them all equally because they have the same buoyancy
  • 28. What would happen to the readings if the water were extremely salty? What would happen to the air and water readings if the aluminium block was re-shaped into a bigger volume?
  • 29. 87kg 66kg 100N 100N Who weighs more on the bathroom scales? Image source unknown.
  • 30. 87kg 66kg 100N 100N Who weighs more on the bathroom scales? 77kg Fgrav 76kg m g Free body diagrams are vector diagrams. They show the direction and magnitude of each force. Draw free body diagrams for the forces acting on the men. Image source unknown.
  • 31. 87kg 66kg 870N FN (scale) 100N 100N 660N FN (scale) 100N FN (sink) Who weighs more on the bathroom scales? 77kg Fgrav 76kg 100N FN (sink) 870N Fg m g Free body diagrams are vector diagrams. 660N Fg They show the direction and magnitude of each force. Draw free body diagrams for the forces acting on the men. Image source unknown.
  • 32. Free Body Diagrams Free body diagrams are vector diagrams. They show the direction and magnitude of the forces acting on an object. Forces are drawn as arrows acting from the centre of a box representing the object. Can you identify: the slowing car, the accelerating bike, FN the launching angry bird and the sinking stone? Fapplied Fapplied Ffriction Fbuoyant Fg FN Fgravity Fgravity Ffriction Fg
  • 33. Free Body Diagrams Free body art-attack All free clipart images from: http://www.clker.com
  • 34. Free Body Diagrams Free body art-attack Accelerating  All free clipart images from: http://www.clker.com
  • 35. Free Body Diagrams Free body art-attack Accelerating  All free clipart images from: http://www.clker.com
  • 36. Free Body Diagrams Free body art-attack Accelerating  All free clipart images from: http://www.clker.com
  • 37. Free Body Diagrams Free body art-attack All free clipart images from: http://www.clker.com
  • 38. Free Body Diagrams Free body art-attack All free clipart images from: http://www.clker.com
  • 39. Free Body Diagrams Free body art-attack All free clipart images from: http://www.clker.com
  • 40. Free Body Diagrams Free body art-attack Accelerating  Accelerating  All free clipart images from: http://www.clker.com
  • 41. The Earth has a larger mass, so pulls the moon harder than the moon pulls the Earth The Earth and the moon pull on each other equally. The moon pulls more on the Earth than the Earth does on the moon. http://wallpaperart.altervista.org/Immagini/luna-terra-sfondo-1280x800.jpg
  • 42. The Earth has a larger mass, so pulls the moon harder than the moon pulls the Earth The Earth and the moon pull on each other equally. The moon pulls more on the Earth than the Earth does on the moon. Check out the answer here: it might surprise you! http://wallpaperart.altervista.org/Immagini/luna-terra-sfondo-1280x800.jpg
  • 43. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size http://photo-dict.faqs.org/phrase/630/Newton's-Cradle.html
  • 44. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size FBD for the man FBD for the block http://www.clker.com/clipart-man-push.html
  • 45. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size FNormal FNormal FNormal FNormal (block) Fg Fg (man) FBD for the man FBD for the block http://www.clker.com/clipart-man-push.html
  • 46. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size FNormal FNormal FNormal FNormal (block (man) ) Fg Fg The normal forces of the man acting on the block and the block acting on the man are equal and opposite. They are a reaction force pair. http://www.clker.com/clipart-man-push.html What other reaction force pairs can you see?
  • 47. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size This means forces are in reaction force pairs. http://www.clker.com/clipart-man-push.html
  • 48. Newton’s Third Law of Motion: Interaction For every action, there is an equal and opposite reaction. • In all interactions • Regardless of mass or size This means forces are in Identify the reaction force pairs in reaction force pairs. these situations and draw force pair diagrams: Extension – the information in green will help you label the magnitude of the forces. 1. A (70kg) person standing on a desk 2. A (100g) ball (slows from 20ms-1 0ms-1 in 0.1s when it) hits a wall. 3. A bow pushes an arrow forward with a force of 50N. 4. A bike tyre pushes down on the ground. (The bike weighs 20kg). 5. A rocket pushes hot air down and out, so that it takes off. 1. How many reaction force pairs can you identify here? http://www.canstockphoto.com/illustration/dribbling.html
  • 49. The harder he pushes, the faster it moves. The harder he pushes, the greater the acceleration. He needs to keep pushing harder to maintain constant velocity. http://www.clker.com/clipart-man-push.html
  • 50. Free body diagrams, force and acceleration http://phet.colorado.edu/en/simulation/forces-and-motion Set up the investigation like this:
  • 51. Free body diagrams, force and acceleration http://phet.colorado.edu/en/simulation/forces-and-motion Draw free body diagrams (include labels, forces and Net force if it is present): - Pushing less than the force of static friction - Pushing just more than static friction - Letting go immediately after the crate moves 100kg crate, wood floor Identify: Static Friction Crate ____ N Fridge ____ N Kinetic Friction Crate ____ N Fridge ____ N Explain what happens to the velocity and acceleration of the objects when the following are applied: - A constant force - A force which is let go 200kg fridge, wood floor Compare changes in velocity and acceleration between the 100kg crate and 200kg fridge. Set up the experiment again with ice and bouncy walls. What happens to the graphs and free body diagrams now? 100kg crate, ice floor, bouncy walls
  • 52. Free body diagrams, force and acceleration http://phet.colorado.edu/en/simulation/forces-and-motion Draw free body diagrams (include labels, forces and Net force (Sum) if it is present): - Pushing less than the force of static friction - Pushing just more than static friction - Letting go immediately after the crate moves 100kg crate, wood floor FN FN FNet FNet FN F fr static Fapplied Ffr kinetic Fapplied Ffr kinetic Fg Fg Fg What happens to the What is the What is the applied force and the significance of the significance of the static friction force as the magnitude of the magnitude of the applied force increases Net force vector? Net force vector? (but the crate stays still)?
  • 53. Net Force and Free Body Diagrams Net force is a the sum of the forces acting on an object. It is a vector – direction and magnitude of each force are important. y We consider the forces acting in the same plane (not perpendicular to each other). x Fapplied Fbuoyant 200N 4.5N Fgravity ∑Fy = 4.5N – 9N ∑Fy = 200N – 80N Fgravity 80N 9.0N = -4.5N = 120N ∑Fx = 0 ∑Fx = 0
  • 54. Net Force and Free Body Diagrams Net force is a the sum of the forces acting on an object. It is a vector – direction and magnitude of each force are important. y We consider the forces acting in the same plane (not perpendicular to each other). x Fapplied Fbuoyant 200N 4.5N ∑Fy = 120N ∑Fy = -4.5N Fgravity ∑Fy = 4.5N – 9N ∑Fy = 200N – 80N Fgravity 80N 9.0N = -4.5N = 120N ∑Fx = 0 ∑Fx = 0
  • 55. Net Force and Free Body Diagrams Net force is a the sum of the forces acting on an object. It is a vector – direction and magnitude of each force are important. y We consider the forces acting in the same plane (not perpendicular to each other). x FN FN 80N 80N 160N 160N Ffriction Fapplied Ffriction Fg Fg 80N 80N 80N ∑Fy = ∑Fy = ∑Fx = ∑Fx =
  • 56. Net Force and Free Body Diagrams Net force is a the sum of the forces acting on an object. It is a vector – direction and magnitude of each force are important. y We consider the forces acting in the same plane (not perpendicular to each other). x FN FN 80N 80N 160N 160N Ffriction Fapplied Ffriction Fg Fg 80N 80N 80N ∑Fx = -160N ∑Fx = -80N ∑Fy = 80N – 80N ∑Fy = 80N – 80N = 0N = 0N ∑Fx = 160 – 80N ∑Fx = -160N (left) = -80N (left)
  • 57. Free body diagrams, force and acceleration 200kg http://phet.colorado.edu/en/simulation/forces-and-motion 100kg Which set of graphs represents the 100kg crate and which one is the 200kg fridge? How do you know? Force (N) Acceleration (ms-2) Velocity (ms-1) Time (s) Time (s)
  • 58. Free body diagrams, force and acceleration http://phet.colorado.edu/en/simulation/forces-and-motion Which set of graphs represents the 100kg crate and which one is the 200kg fridge? How do you know? Force (N) Same force Acceleration (ms-2) Velocity (ms-1) Time (s) Time (s)
  • 59. Newton’s Second Law of Motion: Acceleration Unbalanced forces produce motion. Acceleration is directly proportional to the net force and inversely proportional to the mass of the object. • Bigger net forces, greater acceleration* • Larger masses, smaller acceleration# F net m a
  • 60. Newton’s Second Law of Motion: Acceleration Unbalanced forces produce motion. Acceleration is directly proportional to the net force and inversely proportional to the mass of the object. • Bigger net forces, greater acceleration* • Larger masses, smaller acceleration# *If the forces are unbalanced, Balanced forces give inertia - constant velocity F there is a net force – and so there - rest must be acceleration! net m a #The heavier it is, the less Acceleration due to it will accelerate (more gravity is 9.8ms-2 mass = more inertia)
  • 61. Huh? Acceleration due to gravity is 9.8ms-2
  • 62. Explain this: 5kg 1kg Why do they hit the ground at the same time? Are the forces acting on them the same? http://www.youtube.com/watch?v=_mCC-68LyZM
  • 63. Explain this: 5kg 1kg Why do they hit the ground at the same time? Are the forces acting on them the same? http://www.youtube.com/watch?v=_mCC-68LyZM F = m.a F = m.a Acceleration due to gravity is 9.8ms-2
  • 64. It takes a greater force to accelerate a larger mass. 5kg 1kg 49N 9.8N Why do they hit the ground at the same time? Are the forces acting on them the same? http://www.youtube.com/watch?v=_mCC-68LyZM F = m.a More inertia = 5kg x 9.8ms-2 = 49N Different forces. Same acceleration. Less inertia F = m.a = 1kg x 9.8ms-2 Acceleration due to gravity is 9.8ms-2 = 9.8N
  • 65. Now can you explain this? Why do they hit the ground at the same time? Are the forces acting on them the same? Would it be the same on Earth? Why? http://www.youtube.com/watch?v=-4_rceVPVSY
  • 66. Newton’s Second Law of Motion: Acceleration Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates at 2ms-2. Calculate the net force. Remember: Force is in Newtons. 2. A 5N net force causes an object to accelerate at 3ms-2. Mass is in kg. Calculate the mass of the object. Acceleration is in ms-2 So you might need to adjust units sometimes. 3. A 250N net force acts on a 10kg object . Calculate the acceleration of the object. Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
  • 67. Newton’s Second Law of Motion: Acceleration Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates at 2ms-2. Calculate the net force. F = m.a so F = 5 x 2 = 10N Remember: Force is in Newtons. 2. A 5N net force causes an object to accelerate at 3ms-2. Mass is in kg. Calculate the mass of the object. Acceleration is in ms-2 So you might need to adjust units sometimes. 3. A 250N net force acts on a 10kg object . Calculate the acceleration of the object. Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
  • 68. Newton’s Second Law of Motion: Acceleration Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates at 2ms-2. Calculate the net force. F = m.a so F = 5 x 2 = 10N Remember: Force is in Newtons. 2. A 5N net force causes an object to accelerate at 3ms-2. Mass is in kg. Calculate the mass of the object. Acceleration is in ms-2 So you might need to m = F/a so m = 5/3 = 1.67kg adjust units sometimes. 3. A 250N net force acts on a 10kg object . Calculate the acceleration of the object. Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
  • 69. Newton’s Second Law of Motion: Acceleration Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates at 2ms-2. Calculate the net force. F = m.a so F = 5 x 2 = 10N Remember: Force is in Newtons. 2. A 5N net force causes an object to accelerate at 3ms-2. Mass is in kg. Calculate the mass of the object. Acceleration is in ms-2 So you might need to m = F/a so m = 5/3 = 1.67kg adjust units sometimes. 3. A 250N net force acts on a 10kg object . Calculate the acceleration of the object. a = F/m so a = 250/10 = 25ms-2 Practice on this Quia Quiz: Simple Second Law (http://www.quia.com/quiz/3326680.html)
  • 70. Newton’s Second Law of Motion: Acceleration Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates from rest to 5ms-1 in 2s. Calculate the net force. 2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s. Calculate the mass of the object. 3. A 250N net force acts on a 10kg object at rest. Calculate the velocity of the object after 7 seconds. Practice: http://www.quia.com/quiz/3327710.html
  • 71. Newton’s Second Law of Motion: Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates from rest to 5ms-1 in 2s. Calculate the net force. 2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s. ∆v Calculate the mass of the object. ∆t 3. A 250N net force acts on a 10kg object at rest. Calculate the velocity of the object after 7 seconds. Practice: http://www.quia.com/quiz/3327710.html
  • 72. Newton’s Second Law of Motion: Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates from rest to 5ms-1 in 2s. Calculate the net force. F = 5.(5/2) so F = 5 x 2.5 = 12.5N 2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s. ∆v Calculate the mass of the object. ∆t 3. A 250N net force acts on a 10kg object at rest. Calculate the velocity of the object after 7 seconds. Practice: http://www.quia.com/quiz/3327710.html
  • 73. Newton’s Second Law of Motion: Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates from rest to 5ms-1 in 2s. Calculate the net force. F = 5.(5/2) so F = 5 x 2.5 = 12.5N 2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s. ∆v Calculate the mass of the object. ∆t m = 5/(-3/0.5) so F = 5/-6 = 0.83kg You can’t have negative mass! 3. A 250N net force acts on a 10kg object at rest. Calculate the velocity of the object after 7 seconds. Practice: http://www.quia.com/quiz/3327710.html
  • 74. Newton’s Second Law of Motion: Try these calculations. In each case, assume no friction or air resistance. 1. A 5kg object accelerates from rest to 5ms-1 in 2s. Calculate the net force. F = 5.(5/2) so F = 5 x 2.5 = 12.5N 2. A 5N net force causes an object to accelerate from 3ms-1 to resting in 0.5s. ∆v Calculate the mass of the object. ∆t m = 5/(-3/0.5) so F = 5/-6 = 0.83kg You can’t have negative mass! 3. A 250N net force acts on a 10kg object at rest. Calculate the velocity of the object after 7 seconds. a = F/m ∆v/∆t = F/m ∆v/7s = 250N/10kg v = 25Nkg-1 x 7 v = 175ms-1 Practice: http://www.quia.com/quiz/3327710.html
  • 75. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. Practice: http://www.quia.com/quiz/3327710.html
  • 76. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N m a Practice: http://www.quia.com/quiz/3327710.html
  • 77. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N ∆v m a 8s Practice: http://www.quia.com/quiz/3327710.html
  • 78. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N 30kmh-1 - 22.8kmh-1 ∆v m a 8s Units! Practice: http://www.quia.com/quiz/3327710.html
  • 79. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N – 7.2kmh-1 = -2ms-1 ∆v 3.6 m a 8s 1ms-1 = 3.6kmh-1 Practice: http://www.quia.com/quiz/3327710.html
  • 80. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N -2ms-1 m a 8s Practice: http://www.quia.com/quiz/3327710.html
  • 81. Newton’s Second Law of Motion: A more complex example. Try using triangles and don’t forget the units. A friction force of 17N slows a rolling bike from 30kmh-1 to 22.8kmh-1 in 8 seconds. Calculate the mass of the bike. Assume no air resistance. 17N m -0.25ms-2 m = 17/0.25 = 68kg You can’t have negative mass! Practice: http://www.quia.com/quiz/3327710.html
  • 82. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 1: A 2.50kg book sits on a desk. Determine the magnitude of the force the desk must apply on the book to keep it from falling. 2.5kg
  • 83. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 1: A 2.50kg book sits on a desk. Determine the magnitude of the force the desk must apply on the book to keep it from falling. ∑Fy = Normal – gravity = 0 FN ∑Fx = 0 ___N 2.5kg Fgravity ___N
  • 84. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 1: A 2.50kg book sits on a desk. Determine the magnitude of the force the desk must apply on the book to keep it from falling. ∑Fy = Normal – (2.5kg x 10N/kg) = 0 FN ∑Fx = 0 ___N 2.5kg Fgravity ___N
  • 85. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 1: A 2.50kg book sits on a desk. Determine the magnitude of the force the desk must apply on the book to keep it from falling. ∑Fy = Normal – 25N = 0 FN ∑Fx = 0 ___N 2.5kg Normal – 25N = 0 Normal = 25N Fgravity ___N
  • 86. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force.
  • 87. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force. ∑Fx ∑Fx = m.a FN = = Fapp = ∑Fx + Ffr Ffr Fapp = Fgravity ∑Fx = ? ∑Fy = ?
  • 88. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force. ∑Fx = ?N ∑Fx = m.a FN = 1000N = Fapp = ∑Fx + Ffr Ffr Fapp 75N ?N = Fgravity 1000N ∑Fx = ? ∑Fy = 0
  • 89. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force. ∑Fx = ?N ∑Fx = m.a FN = 100 x 2 1000N = Fapp = ∑Fx + Ffr Ffr Fapp 75N ?N = Fgravity 1000N ∑Fx = ? ∑Fy = 0
  • 90. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force. ∑Fx = 200N ∑Fx = m.a FN = 100 x 2 1000N = 200N Fapp = ∑Fx + Ffr Ffr Fapp 75N ?N = ?N (right) Fgravity 1000N ∑Fx = 200N ∑Fy = 0
  • 91. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 2: A 100kg fridge is pushed to the right along a floor with an acceleration of 2ms-2. It is opposed by a friction force of 75N. Calculate the applied force. ∑Fx = 200N ∑Fx = m.a FN = 100 x 2 1000N = 200N Fapp = ∑Fx + Ffr Ffr Fapp 75N 275N = 275N (right) Fgravity 1000N ∑Fx = 200N ∑Fy = 0
  • 92. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. FThrust ___N ∑Fy Fg 85kg Fair ___N
  • 93. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. ∑Fy = FThrust ∑Fx = 0 ___N ∑Fy Fg 85kg Fair ___N
  • 94. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. ∑Fy = FThrust – Fg – Fair FThrust ∑Fx = 0 ___N ∑Fy Fg ____N 85kg Fair ___N
  • 95. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. ∑Fy = 1800 – 850 – Fair FThrust ∑Fx = 0 1800N ∑Fy ∑Fy = = Fg Fair = 1800 – 850 – ∑Fy 850N 85kg = Fair ?N =
  • 96. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. ∑Fy = 1800 – 850 – Fair FThrust ∑Fx = 0 1800N ∑Fy ∑Fy = 85kg x 2ms-2 = 170N Fg Fair = 1800 – 850 – ∑Fy 850N 85kg = 1800 – 850 – 170 Fair ?N =
  • 97. More complex problems Assume gravity on Earth is 10N per kg. In these problems, you will need to: - Draw a free body diagram (with all relevant forces) y - Write Net force statements - Use the Net force statements to answer the question x Example 3: An 85kg rocket has a thrust force of 1800N. It accelerates upwards at 2ms-2. Determine the magnitude of air resistance against the rocket. ∑Fy = 1800 – 850 – Fair FThrust ∑Fx = 0 85kg 1800N ∑Fy ∑Fy = 85kg x 2ms-2 = 170N Fg Fair = 1800 – 850 – ∑Fy 850N = 1800 – 850 – 170 Fair ?N = 780N (down)
  • 98. Make your own problems In a drag race, the drivers apply the accelerator as hard as possible until they cross the finish line. A parachute deploys to stop them. Sometimes the parachute fails and they go into the sand. Parachute-less drag racer: http://www.youtube.com/watch?v=VxY7zXE0Hjc ¼ mile = 400m y Fair + Ffriction = 2000N x 1250kg, 250kmh-1 1300kg, 257kmh-1 Mass, top speed
  • 99. Can you fix these incorrect laws of motion? http://www.veritasium.com/
  • 101. …or does it? The ISS orbits the Earth at a constant velocity of around 7.7-7.6 kms-1 (~27 500 kmh-1) So why are the astronauts OK? http://science.nationalgeographic.com/science/space/space-exploration/international-space-station-article/
  • 102. Fatal Accelerations "The NHTSA standard for a sudden impact acceleration on a human that would cause severe injury or death is 75 g's for a "50th percentile male", 65 g's for a "50th percentile female", and 50 g's for a "50th percentile child". These figures assume the human is taking the impact on the chest/stomach, the back, sides or the head. The average value is about 65 g's, so I used that for the fatal impact acceleration on a human being.” Reed, Kevin. Re: In a vacuum, can an ant survive a fall that would kill a human? MadSci Network. 4 November 2003.
  • 103. Follow the GoogleDoc link from MrT
  • 104. Criterion A: One World Level Level descriptor 0 The student does not reach a standard described by any of the descriptors below. 1–2 The student states how science is applied and how it may be used to address a specific problem or issue in a local or global context. The student states the effectiveness of science and its application in solving the problem or issue. 3–4 The student describes how science is applied and how it may be used to address a specific problem or issue in a local or global context. The student describes the effectiveness of science and its application in solving the problem or issue. The student describes the implications of the use and application of science interacting with at least one of the following factors: moral, ethical, social, economic, political, cultural and environmental. 5–6 The student explains how science is applied and how it may be used to address a specific problem or issue in a local or global context. The student discusses the effectiveness of science and its application in solving the problem or issue. The student discusses and evaluates the implications of the use and application of science interacting with at least two of the following factors: moral, ethical, social, economic, political, cultural and environmental. Students should be able to: • explain the ways in which science is applied and used to address a specific problem or issue • discuss the effectiveness of science and its application in solving the problem or issue • discuss and evaluate the moral, ethical, social, economic, political, cultural and environmental implications of the use of science and its application in solving specific problems or issues. Describe: to give a detailed account. Discuss: to give an account including, where possible, a range of arguments for and against the relative importance of various factors and comparisons of alternative hypotheses. Evaluate: to assess the implications and limitations. Explain : to give a clear account, including causes and reasons or mechanisms. State: to give a specific name, value or other brief answer without explanation or calculation.
  • 105. Criterion B: Communication in Science Level Level descriptor 0 The student does not reach a standard described by any of the descriptors below. 1–2 The student uses a limited range of scientific language correctly. The student communicates scientific information with limited effectiveness. When appropriate to the task, the student makes little attempt to document sources of information. 3–4 The student uses some scientific language correctly. The student communicates scientific information with some effectiveness. When appropriate to the task, the student partially documents sources of information. 5–6 The student uses sufficient scientific language correctly. The student communicates scientific information effectively. When appropriate to the task, the student fully documents sources of information correctly. Students should be able to: • use scientific language correctly • use appropriate communication modes and formats • acknowledge the work of others and the sources of information used by appropriately documenting them using a recognized referencing system. • Suitable assessment tasks for criterion B include scientific investigation reports, research essays, case studies, written responses, debates and multimedia presentations among others. Students should be able to use different communication modes, including verbal (oral, written) and visual (graphic, symbolic), as well as appropriate communication formats (laboratory reports, essays, and multimedia presentations) to effectively communicate scientific ideas, theories, findings and arguments in science Document: to credit fully all sources of information used by referencing (or citing), following one recognized referencing system. References should be included in the text and also at the end of the piece of work in a reference list or bibliography.
  • 106. More free body diagrams… y ∑Fx = N FN FN x Ffriction 870N (scale) Fapplied Ffriction Fbuoyant Ftension Fg Fg FN Ftension FN Fapplied Fg Ffriction Fapplied FN Fspring Fspring Fg Fair Fg FN F g Ftension Fg Fg Fbuoyant Fapplied Ffriction Felastic Felastic Fg Fapplied Fair Fg
  • 107. What do you think? Ideas based on Concept Cartoons: http://www.conceptcartoons.com Clipart people from: http://www.clker.com/search/krug/1
  • 108. @IBiologyStephen Please consider a donation to charity via Biology4Good. Click here for more information about Biology4Good charity donations. This is a Creative Commons presentation. It may be linked and embedded but not sold or re-hosted.