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Stolb23
1 month ago
15

When a 85 kg man sits on the stool, by what percent does the length of the legs decrease? assume, for simplicity, that the stool

's legs are vertical and that each bears the same load?
Physics
1 answer:
Yuliya22 [3.3K]1 month ago
7 0

To determine stress, we utilize the formula Stress = Force / Area. In this scenario, the force exerted by a person weighing 85 kg on the stool is calculated as F = mg = 85 kg * 9.8 m/s² = 833 N. Next, we find the total area of the three legs: A = 3 π (D/2)² = 3 π (2.5 x 10^-2 / 2)² = 1.4726 x 10^-3 m². Substituting into the equation gives Stress = 833 N / 1.4726 x 10^-3 m² = 5.656 x 10^5 N/m². To find strain, we apply the formula strain = Stress / Young’s modulus, with wood having Y = 1.3 x 10^10 N/m². Thus, strain = 5.656 x 10^5 N/m² / 1.3 x 10^10 N/m² = 4.35 x 10^-5 = 0.00435%.



This indicates that the legs will shorten by 0.00435%

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