An iceboat of mass M = 250 kg sits motionless on a frozen lake. The boat is tied to a stake by a rope of length R = 100 m. A steady wind starts to blow from the West, pushing the boat with a constant force F = 150 N. The boat slides along the ice, moving in a circular arc as the rope stretches taut. The coefficient of kinetic friction between the boat's runners and the ice is mu_k = 0.03.
How fast is the boat moving when it reaches the point marked "X"?
You can do this problem by breaking it up into two pieces: