When a 75 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?

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Physics

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2 June, 03:45

When a 75 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?

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Adelaide Moody · Answer 1

First, let's find the total force exerted by the man on the stool.

F = mg

F = (75 kg) (9.81 m/s²)

F = 735.75 N

Next, we must know the maximum load the stool can take. Suppose, the it can take up to 700 N. Since each leg of the stool takes an equal amount of force, this is uniformly distributed. So, the solution is as follows:

Percentage = [ (735.75 - 700) / 700]*100 = 5.1%