If the coefficient of static fraction between road and tires on a rainy day is 0

Question

If the coefficient of static fraction between road and tires on a rainy day is 0.096, what is the minimum distance in which the car will stop? What .s the stopping distance when the surface is dry and mu_s = 0.599? In order to determine the coefficients of faction between rubber aryl various surfaces, a student uses a rubber eraser and an incline. In one experiment begins to slip down the incline when the angle of inclination is 35.1 degree and then moves down the incline with constant speed when the angle is reduced to these data, determine the coefficients of static and kinetic friction for this experiment.

Explanation / Answer

Here ,

for the static friction , when the rubber starts to slip on the incline

gravtiy down the incline = maximum static friction

mg * sin(theta) = us * mg * cos(theta)

us = tan(theta)

us = tan(35)

us = 0.700

the static frictional coefficient is 0.70

NOw ,for kinetic friction

when the rubber moves with constant speed ,

mg * sin(theta) = uk* mg * cos(theta)

uk= tan(theta)

uk = tan(30)

uk = 0.577

the kinetic frictional coefficient is 0.5770

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