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Manipal MET2010PhysicsCenter of Mass, Momentum and Collision

Two identical masses m moving with velocities u₁ and u₂ collide perfectly inelastically. Find the loss in energy.

Options

  1. Am (u₁-u₂^2 )
  2. Bm 4 (u₁-u₂ )^2
  3. Cm 2 (u₁-u₂ )^2
  4. Dm (u₁-u₂ )^3

Correct answer

B. m 4 (u₁-u₂ )^2

Step-by-step solution

Loss in kinetic energy = 1 2 m₁ m₂ (u₁-u₂ )^2 (m₁+m₂ ) aligned & = 1 2 m m (u₁-u₂ )^2 (m+m) & = m 4 (u₁-u₂ )^2 aligned

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