kg skier grips a moving rope that is powered by an engine and is pulled at constant speed to the top of a 22∘ hill. The skier is pulled a distance x = 200m along the incline and it takes 2.3min to reach the top of the hill
Since the skier is pulled at a constant speed, the pulling force (for one skier)is given by:
F = m*g[sin theta + mu_k*cos theta] = 80*10[sin25+0.15*cos25] = 446.8N (along the incline upwards)
Work done by F in moving distance of 230m: W=F*x = 446.8*230 =102,776 Joules Power reqd for this work: P= W/time = 102,776J/138s = 745 watts = 1HP(approx.) So for 30 skiers, engine power required = 30HP