### How far up the ladder can a person climb

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Q. An 8.00 m, 240 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.75, and the ladder makes a 50° angle with the ground. How far up the ladder can an 830N person climb before ladder begins to slip?

Q. A 46kg box is being pushed a distance of 7 m across the floor by the force vector P whose magnitude is 144N. The force vector P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.25. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.

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