JAMB 2019 Physics · Question 27

A man on a bench will exert the greatest pressure on the bench when he

Options

  1. A.lies flat on his back
  2. B.lies flat on his belly
  3. C.stands on both feet
  4. D.stands on the toes of one foot

Answer: D. stands on the toes of one foot

Explanation written with AI and checked against the answer key

Analyze the question: The question asks when the man exerts the greatest pressure on the bench. Notice it asks about pressure, not force.

Concept: Pressure is force per unit area:

P = F / A

The force here is the man's weight (W = mg), which stays the same whatever position he takes. So pressure depends only on the contact area:

  • Smaller contact area → greater pressure
  • Larger contact area → smaller pressure

Solution: Compare the contact area in each position.

  • A. Lying flat on his back: very large contact area, so the pressure is very small.
  • B. Lying flat on his belly: also a very large contact area, so the pressure is very small.
  • C. Standing on both feet: a moderate contact area (two feet).
  • D. Standing on the toes of one foot: the smallest contact area, since only the tips of the toes of a single foot touch the bench.

Since the weight is constant, the smallest area gives the greatest pressure.

Answer: D. Stands on the toes of one foot.

Tip: For "greatest pressure" questions, look for the smallest area. For "least pressure" questions, look for the largest area. This is why a sharp knife cuts better than a blunt one, and why high-heeled shoes can dent floors. Don't confuse pressure with force. The force (his weight) is the same in all four cases, and only the area changes.

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