A body falling from a height of $10\,m$ rebounds from hard floor. If it loses $20\%$ energy in the impact, then coefficient of restitution is
A body falling from a height of $10\,m$ rebounds from hard floor. If it loses $20\%$ energy in the impact, then coefficient of restitution is
$0.89$
$0.56$
$0.23$
$0.18$
A body falling from a height of $10\,m$ rebounds from hard floor. If it loses $20\%$ energy in the impact, then coefficient of restitution is
As $20/% $ energy lost in collision therfore
$mg{h_2} = 80\% \;{\rm{of }}mg{h_1}$ ==> $\frac{{{h_2}}}{{{h_1}}} = 0.8$
but $e = \sqrt {\frac{{{h_2}}}{{{h_1}}}} = \sqrt {0.8} = 0.89$
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