A small body of mass m can move on an inclined plane which forms an angle α = 10 degrees with the horizontal. The dynamic friction coefficient among the body and the surface of the inclined plane is μk = 0.2. The body is attached to a motor with a mass less rope. After an initial phase, the motor puts out a constant power P = 250 W.
1. What is the limit velocity of the body?
2. What is the energy dissipated by friction?
3. If the body gets to a height h = 3 m, what is the total work done by the motor.