JEE Physics · Hard

Work, Power and Energy: Advanced — Variable Force Integration MCQ

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

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Advanced — Variable Force IntegrationHardQuestion 30481

Question

Force on a particle: F = (4 − 2x) N, where x is in metres. Work done from x = 0 to x = 3 m is:
  1. A
    3 J
    Correct
  2. B
    6 J
  3. C
    9 J
  4. D
    −3 J

Correct answer

3 J

Explanation

W = ∫₀³ (4−2x) dx = [4x − x²]₀³ = 12 − 9 = 3 J.