Browsing as Guest. Progress, bookmarks and attempts are disabled.
Log in to track your work.
Nov 2019 p43 q1
3986
A crate of mass 500 kg is being pulled along rough horizontal ground by a horizontal rope attached to a winch. The winch produces a constant pulling force of 2500 N and the crate is moving at constant speed. Find the coefficient of friction between the crate and the ground.
Solution
The crate is moving at a constant speed, so the net force acting on it is zero. The pulling force is balanced by the frictional force.
The frictional force \(F\) is given by \(F = \mu R\), where \(R\) is the normal reaction force.
Since the crate is on horizontal ground, \(R = mg\), where \(m = 500 \text{ kg}\) and \(g = 9.8 \text{ m/s}^2\).
Thus, \(R = 500 \times 9.8 = 4900 \text{ N}\).
The pulling force is 2500 N, so \(2500 = \mu \times 4900\).
Solving for \(\mu\), we get \(\mu = \frac{2500}{4900} = 0.5\).