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A 5 m uniform ladder leans against a frictionless wall. The coefficient of friction between the...

A 5 m uniform ladder leans against a frictionless wall. The coefficient of friction between the ladder and the floor is 0.35. The base of the ladder is 4 m from the wall. If the ladder weighs 50 N, and a person is 3 m up the ladder (2 m from the top), what is the most this person could weigh without causing the ladder to slide? Show all work.

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