Natural Sciences Dept. Ch 5 Homework Please solve all problems, show all your wo

Question

Natural Sciences Dept. Ch 5 Homework Please solve all problems, show all your work, write neatly and box your final answers 1. In order to determine the coefficients of friction between rubber and various surfaces, a student uses a rubber eraser and an incline. In one experiment, the eraser begins to slip down the incline when the angle of inclination is 35.5° and then moves down the incline with constant speed when the angle is reduced to 31.0°. From these data, determine the coefficients of static and kinetic friction for this experiment

Explanation / Answer

block starts to move when weight force along incline is equal to maximum static friction force.

F_net = m g sin35.5 - fs = 0

and fs = us N = us m g cos35.5

so m g sin35.5 = us m g cos35.5

us = tan(35.5) = 0.71 ........Ans

for kinetic friction, block will move with constant speed.

uk = tan31 = 0.60 .....ANs

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