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

36 Holding on to a towrope moving parallel to a frictionless ski slope, a 45 kg skier is pulled up the slope, which is at an angle of 8.0° 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 m/s and (b) \( v = 2.0 \text{ m/s} \) as \( v \) increases at a rate of 0.10 m/s\(^2\)?