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Question 30458
JEE Physics · Hard

Work, Power and Energy: Work — Spring Not at Origin MCQ

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Work — Spring Not at OriginHardQuestion 30458

Question

A spring (k = 50 N/m, natural length = 2 m) is attached to a wall. A block is pushed from 3 m to 1 m from the wall (compressing by 1 m). Work done by spring force on block:
  1. A
    25 J
    Correct
  2. B
    −25 J
  3. C
    50 J
  4. D
    −50 J

Correct answer

25 J

Explanation

Spring does positive work when released from compression. W = ½k(x₁²−x₂²) from initial compression x₁ = 0 to x₂ = 1m: W_spring = ½×50×(0−1)² = −25 J (work done ON block pushing it away = +25 J in direction of motion... Spring force does positive work when compression decreases: 25 J).

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