Answer to Question #266979 in Physics for banihfrance05

Question

a 250-N crate is pulled along a horizontal sidewalk at a constant speed by a rope which makes an angle of 40° with the sidewalk. If a force of 150 N is applied on the rope, what is the coefficient of the sliding friction?

Answer 1

Write the balance of forces for motion at constant speed:

$$-\mu(W-F\sin\theta)+F\cos\theta=0,\\\space\\ \mu=\frac{F\cos\theta}{W-F\sin\theta}=0.75.$$