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Question 30525
JEE Physics · Medium

Center of Mass, Momentum and Collision: Inelastic — Energy Loss MCQ

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Inelastic — Energy LossMediumQuestion 30525

Question

Two equal masses m collide head-on (one at v, other at rest) perfectly inelastically. Percentage of KE lost:
  1. A
    25%
  2. B
    50%
    Correct
  3. C
    75%
  4. D
    100%

Correct answer

50%

Explanation

v_f = v/2. KE_before = ½mv². KE_after = ½(2m)(v/2)² = mv²/4. Loss = ½mv²−mv²/4 = mv²/4. % loss = (mv²/4)/(½mv²) × 100 = 50%.

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