Question

Water skiers often ride to one side of the center line of a boat, as shown in the figure. In this case, the ski boat is traveling at 15 m/s and the tension in the rope is 70 N. If the boat does 3500 J of work on the skier in 54.5 m, what is the angle θ between the tow rope and the center line of the boat?

Answer 1

Work = (Force )(component of distance parallel to force)

W = F d cos @

3500 J = (70 N) (54.5 m) cos @

solve for cos @ and thus get @
from @ = arc cos [ }