First slide

Coefficient of restitution

Question

If two balls, each of mass 0 .06 kg, moving in opposite directions with speed a m m/s, collide and rebound with the same speed, then the impulse imparted to each ball due to other is

Easy

A

$0 \cdot 48 kg - m / s$
B

$0 \cdot 53 kg - m / s$
C

$0 \cdot 81 kg - m / s$
D

$0 \cdot 92 kg - m / s$

Solution

The balls exchange velocity on collision. Initial momentum of each ball before collision $=mv=0⋅06×4=0⋅24kg⋅m/s$
Final momentum of each ball after collision $= m (- v) = 0 \cdot 06 \times (- 4) = - 0 \cdot 24 kg - m / s$
.'. change in momentum
= Initial momentum - Final momentum
$= 0 \cdot 24 - (- 0 \cdot 24) = 0 \cdot 48 k g - m / s$

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