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KCET2010PhysicsCenter of Mass, Momentum and Collision

If the linear momentum of a body is increased by 50 % , then the kinetic energy of that body increases by

Options

  1. A100 %
  2. B125 %
  3. C225 %
  4. D25 %

Correct answer

B. 125 %

Step-by-step solution

Kinetic energy of the body, K= p ² 2 ~m Since, the mass remains constant K p ² gathered K ₂ ~K ₁ = p ₂² p ₁² = [ 150 100 ]²= 9 4 100 [ K ₂ ~K ₁ -1 ]= ( 9 4 -1 ) 100=125 % gathered

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