Asked by johnny

a slide loving pig slides down a certain 44° slide in twice the time it would take to slide down a frictionless 44° slide. What is the coefficient of kinetic friction between the pig and the slide?
Answered by drwls
If the time is doubled by the presence of friction, the acceleration is reduced by a factor 4. (That is because (1/2)a*t^2 remains the same). The friction is therefore 3/4 of the component of the weight down the plane. (That leaves a net accelerating force that is 1/4 of the weight component down the slide).

M g cos 44 * uk = (3/4) M g sin 44
Solve for uk, the kinetic friction coefficient.

uk = (3/4) tan 44
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