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AP EAMCET202018 Sep 2020Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

The kinetic energy of a body is increased by 4 times. Its momentum will

Options

  1. Aincrease twice
  2. Bincrease four times
  3. Cdecrease twice
  4. Dremains constant

Correct answer

A. increase twice

Step-by-step solution

Given, initial kinetic energy, (K₁=K ) Final kinetic energy, (K₂=4 K ) Momentum and kinetic energy are related as, ( aligned & K= p^2 2 m p= 2 m K & aligned Initial momentum, p₁ & = 2 m K₁ & = 2 m K (i) Final momentum, p₂ & = 2 m K₂ = 2 m 4 K & (i) & =2 2 m K =2 p₁ [from Eq. (i)] aligned aligned )

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