Παρουσίαση με άσκηση στη φθίνουσα ταλάντωση για διαδικτυακό μάθημα Φυσικής Προσανατολισμού Γ΄ Λυκείου ΓΕΛ Νυδριού Λευκάδος Γουρζής Στάθης - Φυσικός ΥΣΕΦΕ 2020 - 2021

2. A = Ao. e – Λt => Ao/2 = Ao e – Λ10 => ½ = e – Λ10 =>
 ln ( ½ ) = ln ( e – Λ10 ) => ln (2-1 ) = ln ( e – Λ10 ) =>
=> - ln (2) = ln ( e – Λ10 ) => - ln (2) = - Λ10 =>
=> ln (2) = Λ10 => Λ = ln (2)/10 s-1

3. f = 1/ T = N / t => f = 5 / 10 => f = ½ s-1 => f = ½ Hz
f = 1/ T => ½ =1/ Τ => Τ = 2 s

4. A = Ao. e – Λt =>A15 =10-1e – Λt =>A15 =10-1e – ln2/10 t
=>A15 =10-1e – ln2/10 κΤ
=>A15 =10-1e – ln2/10 15 Τ
=>A15 =10-1e – ln2/10 15 2 =>
=>A15 =10-1e – ln2/10 . 15.2 => A15 =10-1e – ln2 /10 . 15.2
ln2 /10 . 15.2 = ln2 /10 .30 = ln2 . 30 /10 = ln2 .3
=> A15 =10-1e – 3. ln2 => A15 =10-1e – ln2 3
=> A15 =10-1/e ln2 3 => A15 =10-1/8 => A15 =1.25 10-1 m
e ln2 3 = 8

5. A = Ao. e – Λt => 2,5 = 10 . e – ln2/10t =>
2,5 = 10 . e – ln2/10t => 2,5 /10 = e – ln2/10t =>
1 /4 = e – ln2/10t => 1 /22 = e – ln2/10t =>
=> 2-2 = e – ln2/10t => ln (2-2 )= -ln2/10t =>

6. => ln (2-2 )= -ln2/10t => -2 ln2= - ln2/10 t =>
=> -2 = - 1/10 t => 2 = 1/10 t => 2 .10 = t =>
=> t = 20 s

7. W = Eτελ- Eαρχ = > W = Εο. e -2Λt- Eο
= > W = Εο. e -2ln2/10t- Eο
= > W = Εο. ( e -2ln2/10t- 1)
= > W = Εο. ( e -2ln2/10. 10- 1)
= > W = Εο. ( e -2ln2- 1)

8. = > W = Εο. ( e -2ln2- 1) =>
=> W = Εο. ( 1 /e 2ln2- 1) =>
=> W = Εο. ( 1 /e ln2 2- 1) =>
W = Εο. ( 1 /22- 1) =>
=> W = Εο. ( 1 /4- 1) => W = Εο. ( -3 /4) J