JEE Physics · Hard

Work, Power and Energy: Spring — Collision MCQ

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

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Spring — CollisionHardQuestion 30442

Question

A 2 kg block moving at 4 m/s hits a spring (k = 200 N/m) attached to a wall. Maximum compression of the spring is:
  1. A
    0.2 m
  2. B
    0.4 m
    Correct
  3. C
    0.28 m
  4. D
    0.56 m

Correct answer

0.4 m

Explanation

At maximum compression, all KE converts to spring PE: ½mv² = ½kx². x = v√(m/k) = 4×√(2/200) = 4×0.1 = 0.4 m.