Friction coefficient from scale reading on slope · CAP 2015 #9

Physics · mechanics

Problem

A person is standing on a platform that is sliding down the hill as shown in the picture. The slope of the hill is 30∘30^\circ with respect to the horizontal. The person is standing on a scale positioned on the surface of the platform and the scale is reading only 150 lbs while his real weight is 160 lbs. Which of the following is the coefficient of kinetic friction between the platform and the slope? a) 32\frac{\sqrt{3}}{2} b) 34\frac{\sqrt{3}}{4} c) 33\frac{\sqrt{3}}{3} d) 23\frac{2}{3} e) there is not enough information to calculate the friction coefficient.

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