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Periodic Motion

A ball at res...

Question

A ball at rest is dropped freely from a height of $20 m$ . It loses $30$ % of its energy on striking the ground and bounces back. The height to which it bounces back is:

A

14 m

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B

12 m

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C

9 m

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D

6 m

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Solution

The correct option is B $14 m$
The kinetic energy on reaching the ground will be equal to the initial potential energy, i.e.
$K E = m g (20)$ . Since the remaining kinetic energy (after loss) will be used to rise the block to height $h$ ,

$m g (20) (1 - 0.3) = m g h$

Hence, $h = 14 m$

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