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AIIMS2016PhysicsCenter of Mass, Momentum and Collision

If the linear momentum is increased by 50 % , then kinetic energy will increase by

Options

  1. A50 %
  2. B100 %
  3. C125 %
  4. D25 %

Correct answer

C. 125 %

Step-by-step solution

Kinetic energy of a body, K= p^2 2 m where p is the momentum of the body and m is the mass of the body p^ =p+ 50 100 p= 3 2 p Assuming m remains constant K^ K = ( p^ p )^2= 9 4 % increase in kinetic energy = K^ -K K 100 %= ( K^ K -1 ) 100 %= ( 9 4 -1 ) 100 %=125 %

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