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  4. A metal ball falls from a height of 1m on to a steel plate and jumps upto a height of 81cm . The coefficient of restitution of the ball and steel plate is

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Q. A metal ball falls from a height of $1m$ on to a steel plate and jumps upto a height of $81cm$ . The coefficient of restitution of the ball and steel plate is

NTA AbhyasNTA Abhyas 2020

Solution:

$e=\frac{V e l o c i t y \, o f \, s e p r a t i o n \, }{V e l o c i t y \, o f \, a p p r o a c h \, }$
$e=\sqrt{\frac{h_{2}}{h_{1}}}$ $= \sqrt{\frac{81}{100}} = 0.9$