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Question 30547
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Center of Mass, Momentum and Collision: Three-Body Explosion MCQ

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Three-Body ExplosionHardQuestion 30547

Question

A 10 kg object at rest breaks into 3 pieces: 3 kg, 3 kg, 4 kg. The two 3 kg pieces fly off at 90° to each other at 5 m/s each. Speed of the 4 kg piece:
  1. A
    3.75 m/s
  2. B
    5√2/4 m/s
  3. C
    15√2/4 m/s
    Correct
  4. D
    5 m/s

Correct answer

15√2/4 m/s

Explanation

Momentum of 3 kg pieces: (15, 0) and (0, 15). Resultant = 15√2 at 45°. 4 kg piece has momentum 15√2 opposite direction. Speed = 15√2/4 ≈ 5.3 m/s.

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