A body is dropped on ground from a height h 1 and after hitting the ground, it rebounds to a height h 2 . If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy of the body is x 4 . The value of x is _____.

Question

A body is dropped on ground from a height h 1 and after hitting the ground, it rebounds to a height h 2 . If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy of the body is x 4 . The value of x is _____.,

MARKS App · Accepted Answer

The given ratio of the velocities is v 1 v 2 = 4 The percentage loss in kinetic energy is m v 2 1 2 - m v 2 2 2 m v 2 1 2 × 100 = x 4 ⇒ v 2 1 - v 2 2 v 2 1 = x 400 ⇒ 1 - v 2 2 v 2 1 = x 400 ⇒ 1 - 1 16 = x 400 ⇒ x = 375

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