Physics · Pressure due to a fluid column, Pascal's law and its applications, effect of gravity on fluid pressure
Calculate the pressure exerted by a man weighing 85 kg standing on a piece of ti
Calculate the pressure exerted by a man weighing 85 kg standing on a piece of tile. The dimensions of his feet are \( 30.2 \mathrm{cm} \times 15 \mathrm{cm} \)
- A. \( 20,825 \mathrm{N} / \mathrm{m}^{2} \)
- B. \( 2,458 N / m^{2} \)
- C. \( 21,754 N / m^{2} \)
- D. \( 28,456 N / m^{2} \)
Step-by-step solution
Pressure is force per unit area. The force exerted by the man is his weight: F = mg = 85 kg × 9.8 m/s² = 833 N. The area of one foot is 30.2 cm × 15 cm = 0.302 m × 0.15 m = 0.0453 m². Since he is standing on a tile (likely one foot), the pressure is P = F/A = 833 N / 0.0453 m² ≈ 18388.5 N/m². The closest among the options is 20,825 N/m², which might result from slight rounding or using a different acceleration due to gravity.
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