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A Levels Physics (9702)•9702/14/M/J/25
Question 12 from 9702/14/M/J/25

Explanation

Maximum pressure on smallest face area

Steps:

  • Volume = 1 m × 2 m × 4 m = 8 m³
  • Mass = 2700 kg/m³ × 8 m³ = 21600 kg
  • Weight = 21600 kg × 10 m/s² = 216000 N
  • Smallest area = 1 m × 2 m = 2 m²; pressure = 216000 N / 2 m² = 108 kPa ≈ 110 kPa

Why D is correct:

  • Pressure P = weight / area; maximum P when area is minimized per the formula.

Why the others are wrong:

  • A: 11 kPa from incorrect weight or area calculation.
  • B: 26 kPa from largest area (2 m × 4 m = 8 m²): 216000 N / 8 m² = 27 kPa.
  • C: 53 kPa from medium area (1 m × 4 m = 4 m²): 216000 N / 4 m² = 54 kPa.

Final answer: D

Topic: Density and pressure

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