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PhysicsNEET 2024Collisions: elastic and inelastic

Work, Energy and Power

Two bodies A and B of the same mass undergo a completely inelastic one-dimensional collision. Body A moves with velocity v1v_1 while body B is at rest before the collision. The velocity of the system after the collision is v2v_2. The ratio v1:v2v_1 : v_2 is:

  1. A.2 : 1✓
  2. B.4 : 1
  3. C.1 : 4
  4. D.1 : 2

Solution

Momentum conservation for a perfectly inelastic collision: mv1=2mv2⇒v1:v2=2:1m v_1 = 2m v_2 \Rightarrow v_1 : v_2 = 2 : 1.

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