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

Moderate

A

v
B

2v
C

Zero
D

v/2

Solution

Initial momentum of the system = $mv - mv = 0$
As body sticks together $∴$ final momentum = 2mV
By conservation of momentum 2mV = 0
$∴$ V = 0

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