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A ball bounce of 80% of its original hei...

A ball bounce of `80%` of its original height . What fraction of its mechanical energy is lost in each bounce ?

A

`0.20`

B

`0.60`

C

`0.40`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
A

Let the ball is dropped from height h
Initial potential energy=mgh.
Potential energy after first bounce = mg x 80 % of h
=0.80 mgh.
Potential energy lost in each bounce = 0.20 mgh
Fraction of potential energy lost in each bounce
`=(0.20 mgh)/(mgh)=0.20`
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