First slide

Coefficient of restitution

Question

A steel ball is released from a height of 27 m onto a fixed horizontal steel plate. On bouncing the ball rises to a height of 3 m. Then co-efficient of restitution is

Easy

A

1/6
B

1/5
C

1/4
D

1/3

Solution

Just before impact, $u = \sqrt{2 g H}$
Just after impact, vertically upward velocity $V = \sqrt{2 g h}$
$∴ C = \frac{V}{u} = \sqrt{\frac{h}{H}} = \sqrt{\frac{3}{27}} = \frac{1}{3}$

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