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AIIMS2002PhysicsCenter of Mass, Momentum and Collision

The kinetic energy of a body becomes four times its initial value. The new linear momentum will be

Options

  1. Asame as the initial value
  2. Bfour times of the initial value
  3. Ctwice of the initial value
  4. Deight times of the initial value.

Correct answer

C. twice of the initial value

Step-by-step solution

Initial kinetic energy (E₁ )=E and final kinetic energy (E₂ )=4 E . Kinetic energy of a body is 1 2 m v^2 Since the value of m remains constant, therefore for the kinetic energy to be 4 times, the new value of velocity (v) should be 2 times the initial value. Initial linear momentum (p₁ )=m v . Therefore new linear momentum (p₂ )=m 2 v=2 m v=2 p₁

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