Question

A skier with a mass of 62 𝑘𝑔 is sliding down a snowy slope. Find the coefficient of kinetic friction for the skier if friction is known to be 45.0 𝑁.

Answer 1

If the speed of descending is constant, the coefficient of kinetic friction is

$$f=\mu mg\cos\theta,\\\space\\ f=mg\sin\theta.\\\space\\ \theta=\arcsin\frac{f}{mg}=4.2°.\\\space\\ \mu=\frac{f}{mg\cos\theta}=0.07.$$