Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v1 while body B is at rest before collision. The velocity of the system after collision is v2 . The ratio v1 : v2 is :
Correct Answer :
2:1
Solution :
Let the mass of each body be . Body A moves with initial velocity and body B is initially at rest, so its initial velocity is .
Because the collision is completely inelastic, the two bodies stick together after impact. Conservation of linear momentum gives
Simplifying the equation, we obtain
Dividing both sides by yields the final velocity of the combined system
Hence the ratio of the initial to the final speed is
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