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Question 30537
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Center of Mass, Momentum and Collision: Bullet-Block on Spring MCQ

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Bullet-Block on SpringHardQuestion 30537

Question

A bullet (m = 0.01 kg, v = 500 m/s) embeds in a block (M = 1 kg) on a spring (k = 100 N/m). Maximum spring compression is:
  1. A
    0.495 m
    Correct
  2. B
    0.05 m
  3. C
    0.5 m
  4. D
    0.995 m

Correct answer

0.495 m

Explanation

v_combined = 0.01×500/1.01 ≈ 4.95 m/s. ½kx² = ½(1.01)(4.95)². kx² = 1.01×24.5 = 24.75. x = √(24.75/100) ≈ 0.497 m ≈ 0.495 m.

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