Calculate the pressure exerted on the floor by a boy whose weight is 56 kg, and the area
June 29, 2021 | education
| Calculate the pressure exerted on the floor by a boy whose weight is 56 kg, and the area of one sole of his boot is 152 cm2.
To calculate the boy’s desired floor pressure, we apply the formula: P = F / S = m * g / 2Sb.
Variables and constants: m – boy’s weight (m = 56 kg); g – acceleration due to gravity (g ≈ 10m / s2); Sb – sole area of one shoe (Sb = 152 cm2 = 152 * 10-4 m2).
Let’s calculate: P = m * g / 2Sb = 56 * 10 / (2 * 152 * 10-4) = 18 421 Pa ≈ 18.4 kPa.
Answer: The boy should produce a pressure of 18.4 kPa on the floor.
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