A ball is allowed to fall from a height of

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A ball is allowed to fall from a height of $10\, m$. If there is $40\%$ loss of energy due to impact, then after one impact ball will go up to ......... $m$

A

$10 $

B

$8 $

C

$4$

D

$6 $

A ball is allowed to fall from a height of $10\, m$. If there is $40\%$ loss of energy due to impact, then after one impact ball will go up to ......... $m$

$mgh = $ initial potential energy
$mgh' = $ final potential energy after rebound
As $40\%$ energy lost during impact $mgh'=60\%$ of $mgh$
$⇒$ $h' = \frac{{60}}{{100}} \times h = \frac{{60}}{{100}} \times 10 = 6\,m$