## Essential University Physics: Volume 1 (3rd Edition)

We know that the force of friction is equal to the coefficient of friction times the normal force. We know that the normal force is given by $mgcos\theta$. Thus, we find: $F_f =mgcos\theta\mu$ We have to find the distance the object travels, which is: $x=\frac{\sqrt{2hR-h^2}}{cos\theta}$ We know that work is equal to force times distance, so we find: $W = mgcos\theta\mu \times \frac{\sqrt{2hR-h^2}}{cos\theta}$ $W=mg\mu \sqrt{2hR-h^2}$