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  4. A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is 0.5, to what height will the ball rise after second bounce

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Q. A metal ball falls from a height of $32$ metre on a steel plate. If the coefficient of restitution is $0.5$, to what height will the ball rise after second bounce

Solution:

$h _{ n }= he ^{2 n }=32\left(\frac{1}{2}\right)^{4} $
$=\frac{32}{16}=2 \,m$
(here $n =2, e =1 / 2)$