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Starting from the origin, a body oscillates simple harmonically with a period of 2 ~s . After what time will its kinetic energy be 75 % of the total energy?

Options

  1. A1 12 ~s
  2. B1 6 ~s
  3. C1 4 ~s
  4. D1 3 s

Correct answer

B. 1 6 ~s

Step-by-step solution

1 2 m v^2= 3 4 ( 1 2 m v_ ^2 ) A ^2 ^2 ^2 t 3 4 ~A ^2 ^2 t = 3 2 t= 6 t= 1 6 sec

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