Answer to Question #159902 in Physics for olivia

Question

A crate weighing 500.0 N is pulled along a horizontal sidewalk at constant speed by a rope that makes a 27.0

angle with the sidewalk. If a force of 210.0 N is applied to the rope, what is the coefficient of kinetic friction

between the crate and the sidewalk?

Answer 1

$$ma=F\cos{27}-\mu N=0\\ F\cos{27}=\mu (mg-F\sin{27}) \\ 210\cos{27}=\mu (500-210\sin{27})\\\mu=0.46$$