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

Solution

Final relative velocity = -e initial relative velocity

$\therefore {\mathrm{t}}^{1}=\frac{2\mathrm{\pi r}}{\mathrm{ev}}=\frac{2\mathrm{t}}{\mathrm{e}}$

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