First slide

Collisions

Question

A body of mass m moving with a constant velocity v hits another body of the same mass moving with the same velocity v but in the opposite direction and sticks to it. The velocity of the compound body after collision is, if another body is at rest, then velocity of the compound body after collision is

Moderate

A

v/2
B

2v
C

v
D

Zero

Solution

If initially second body is at rest then
Initial momentum = mv
Final momentum = 2mV
By conservation of momentum $2 mV = mv \Rightarrow V = \frac{v}{2}$

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