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Question 30546
JEE Physics · Hard

Center of Mass, Momentum and Collision: Spring Between Two Blocks MCQ

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Spring Between Two BlocksHardQuestion 30546

Question

Blocks A (1 kg) and B (2 kg) on frictionless surface connected by spring (k = 100 N/m). A is given v = 6 m/s, B at rest. Maximum compression of spring:
  1. A
    0.28 m
    Correct
  2. B
    0.2 m
  3. C
    0.4 m
  4. D
    0.6 m

Correct answer

0.28 m

Explanation

At max compression, both move at v_cm = 1×6/3 = 2 m/s. Energy stored in spring = ½×1×36 − ½×3×4 = 18−6 = 12 J. ½×100×x² = 12 → x = √(0.24) ≈ 0.49 m.

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