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A Levels Physics (9702)•9702/12/O/N/24
Question 9 from 9702/12/O/N/24

Explanation

Impulse-momentum theorem Steps:

  • Initial momentum of ball: 2×4=82 \times 4 = 82×4=8 kg m/s (towards wall).
  • Final momentum of ball: 2×(−2)=−42 \times (-2) = -42×(−2)=−4 kg m/s (away from wall).
  • Change in momentum: −4−8=−12-4 - 8 = -12−4−8=−12 kg m/s.
  • Average force on wall: magnitude of Δp/Δt=12/0.15=80\Delta p / \Delta t = 12 / 0.15 = 80Δp/Δt=12/0.15=80 N (action-reaction pair).

Why D is correct:

  • It matches the impulse-momentum theorem, where impulse on wall equals magnitude of ball's momentum change divided by collision time.

Why the others are wrong:

  • A ignores momentum change, underestimating force.
  • B uses incorrect partial velocity difference, like (4−2)×2/0.15≈27(4-2) \times 2 / 0.15 \approx 27(4−2)×2/0.15≈27 N adjusted wrongly.
  • C assumes ball stops (Δp=8\Delta p = 8Δp=8 kg m/s), giving 8/0.15≈538 / 0.15 \approx 538/0.15≈53 N, forgetting rebound adds to change.

Final answer: D

Topic: Momentum and Newton's laws of motion

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