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KCET2021PhysicsCenter of Mass, Momentum and Collision

A ball hits the floor and rebounds after an inelastic collision. In this case

Options

  1. Athe momentum of the ball is conserved
  2. Bthe mechanical energy of the ball is conserved
  3. Cthe total momentum of the ball and the earth is conserved
  4. Dthe total mechanical energy of the ball and the earth is conserved

Correct answer

C. the total momentum of the ball and the earth is conserved

Step-by-step solution

When the net cxtcrnal force on the system is zero, the total momentum of the system is conserved. In the given case, when a ball hits the floor and rebounds, no external force is acting on them. Thus, the total momentum of the system is conserved. However, it is an elastic collision. So, some energy will be lost in the form of heat, etc. Hence, the total mechanical energy of the system will not conserved.

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