1.

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

Answer» Suppose the ball is dropped from a height `h`.
Initial `K.E.=mgh`.
P.E. after the bounce `=mgxx(80%)h=(4)/(5)mgh`
P.E. lost in each bounce
`=mgh -(4)/(5)mgh=(1)/(5)mgh`
Fraction of P.E. lost in each bounce
`=((1)/(5)mgh)/(mgh)=0.20`


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