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A 30-kg box is at rest on a horizontal floor with friction coefficients μs = 0.65...

A 30-kg box is at rest on a horizontal floor with friction coefficients μs = 0.65 (static) and μk = 0.55 (kinetic). You push on the box HORIZONTALLY (parallel to the floor) with varying applied force. For each applied force below, find the magnitude of the friction force exerted by the floor on the box (in Newtons), and state whether the friction is static or kinetic. (a) Applied force 100 N. (b) Applied force 150 N. (c) Applied force 190 N. (d) Applied force 200 N. (e) Applied force 250 N. (f) Use these results to draw a continuous graph of the friction force (vertical axis) vs. applied force (horizontal axis), and indicate any “special values” on the axes where the graph changes or does something interesting.

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