JEE Physics · Hard

Center of Mass, Momentum and Collision: JEE — Partially Inelastic MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE — Partially InelasticHardQuestion 30557

Question

Two equal masses m collide with e = 0.5. Before collision: u₁ = 6 m/s, u₂ = 0. After collision, v₂ is:
  1. A
    4.5 m/s
    Correct
  2. B
    3 m/s
  3. C
    6 m/s
  4. D
    1.5 m/s

Correct answer

4.5 m/s

Explanation

From equations: v₁+v₂ = 6 (momentum, equal masses) and v₂−v₁ = e(u₁−u₂) = 0.5×6 = 3. Solving: v₂ = 4.5, v₁ = 1.5.