JEE Physics · Hard

Center of Mass, Momentum and Collision: Perfectly Inelastic — Angle MCQ

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

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Perfectly Inelastic — AngleHardQuestion 30542

Question

A 2 kg ball (3 m/s north) and a 2 kg ball (4 m/s east) collide and stick. Their combined speed is:
  1. A
    7 m/s
  2. B
    5 m/s
    Correct
  3. C
    3.5 m/s
  4. D
    1 m/s

Correct answer

5 m/s

Explanation

Momentum north: 6 kg·m/s. Momentum east: 8 kg·m/s. Combined: p = √(36+64) = 10 kg·m/s. Speed = 10/4 = 2.5 m/s.