First slide

Coefficient of restitution

Question

Two marbles, A and B, lie on a smooth horizontal circular groove at opposite ends of a diameter. A is projected along the grove and at the end of time t impinges on B. The coefficient of restitution is ‘e’. The time interval between first and second collision is

Moderate

A

t
B

t/e
C

2t/e
D

2t

Solution

Final relative velocity = -e initial relative velocity
$∴ t^{1} = \frac{2 πr}{ev} = \frac{2 t}{e}$

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