A ball bounces to 75% of its original height. Calculate the mechanical energy lost in each bounce.

Options

A. `0.40`
B. `0.35`
C. `0.25`
D. `0.20`

Answer

C

Explanation

Let initial potential energy = mgh.
Potential energy after first bounce
`= mg xx 75%` of `h = 0.75 mgh`.
p.E lost in each in each bounce = 0.25 mgh.
Fraction of p. E lost in each bounce,
`=(0.25 cancel(mgh))/(cancel(mgh))=0.25`