Halliday, Resnick & Walker — Force and Motion–I: Problem 36

Holding on to a towrope moving parallel to a frictionless ski slope, a 50 kg skier is pulled up the slope, which is at an angle of \(8.0^\circ\) with the horizontal. What is the magnitude \(F_{\text{rope}}\) of the force on the skier from the rope when (a) the magnitude \(v\) of the skier's velocity is constant at \(2.0 \text{ m/s}\) and (b) \(v = 2.0 \text{ m/s}\) as \(v\) increases at a rate of \(0.10 \text{ m/s}^2\)?