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MHT CET202310 May 2023Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

If a lighter body of mass ' M ₁ ' and velocity ' V ₁ ' and a heavy body (mass M ₂ and velocity V ₂ ) have the same kinetic energy then

Options

  1. AM ₂ ~V ₂ < M ₁ ~V ₁
  2. BM ₂ ~V ₂= M ₁ ~V ₁
  3. CM ₂ ~V ₁ < M ₁ ~V ₂
  4. DM ₂ ~V ₂> M ₁ ~V ₁

Correct answer

D. M ₂ ~V ₂> M ₁ ~V ₁

Step-by-step solution

array ll & KE ₁= KE ₂ & KE = 1 2 mv ^2= p ^2 2 ~m .( p = mv ) & p = 2 ~m ( ~K E ) & p ₁ p ₂ = M ₁ M ₂ & But M ₂> M ₁ & p ₂> p ₁ & i.e., M ₂ ~V ₂> M ₁ ~V ₁ array

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