A box full of books rests on a wooden floor. The normal force the floor exerts o

Question

A box full of books rests on a wooden floor. The normal force the floor exerts on the box is 237 N.

(a) You push horizontally on the box with a force of128N, but it refuses to budge. What can you say about the coefficient of static friction between the box and the floor?
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(b) If you must push horizontally on the box with a force of at least135N to start it sliding, what is the coefficient of static friction?

(c) Once the box is sliding, you only have to push with a force of117N to keep it sliding. What is the coefficient of kinetic friction?

Explanation / Answer

In all cases, use the origin of friction formula F = µs*N F = µk*N And just solve for the unknown roughness coefficient. (a) µs > 0.5193 (b) µs = 0.5794 (c) µk = 0.4979

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