You have to specify the power output of a motor for a ski tow rope that will carry 20 skiers at a time. The grade of the ski slope is \(32^{\circ}\) above horizontal, and the average coefficient of kinetic friction between skis and snow is 0. 12. If the tow speed is to be \(3.0 \mathrm{~m} / \mathrm{s}\) and each skier has an inertia of \(60 \mathrm{~kg}\) (a reasonable average value), what must the minimum power output of the motor be?