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JEE Main2008PhysicsCenter of Mass, Momentum and CollisionActual

A block of mass 0.50 ~kg is moving with a speed of 2.00 ~m / s on a smooth surface. It strikes another mass of 1.00 ~kg and then they move together as a single body. The energy loss during the collision is

Options

  1. A0.16 ~J
  2. B1.00 ~J
  3. C0.67 ~J
  4. D0.34 ~J

Correct answer

C. 0.67 ~J

Step-by-step solution

aligned & m₁ u₁+m₂ u₂= (m₁+m₂ ) v & v=2 / 3 ~m / s & Energy loss = 1 2 (0.5) (2)^2- 1 2 (1.5) ( 2 3 )^2=0.67 ~J aligned

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