A skier is pulled by towrope up frictionless ski slope that makes an angle of `12^(@)` with the horizontal . The rope moves parallel to the slope with a constant speed of 1.0 m/s. The force of the rope does 880 J of work on the skier as the skier moves a distance of 7.0 m up the incline. (a) If the rope moved with a constant speed of 2.0 m/s, how much work would the force of the rope do on the skier as the skier moved a distance of 8.0 m up the incline ? At what rate is the force of the rope doing work on the skier when the rope moves with a speed of (b) 1.0 m/s and (c) 2.0 m/s ?

Answer

(a) `8.8xx10^(2)` J, just as it was in the first case; (b) `1.3xx10^(2)W; (c) 2.5xx10^(2)W`