JEE Physics · Hard

Center of Mass, Momentum and Collision: Impulse — Variable Force MCQ

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

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Impulse — Variable ForceHardQuestion 30531

Question

Force on a particle: F(t) = 4t N for 0 ≤ t ≤ 3 s. Impulse delivered in this time is:
  1. A
    6 N·s
  2. B
    12 N·s
  3. C
    18 N·s
    Correct
  4. D
    36 N·s

Correct answer

18 N·s

Explanation

J = ∫₀³ 4t dt = [2t²]₀³ = 18 N·s.