Question

a skier travels down a slope toward the bottom of the hill at what points on the slope will gravitational potential energy and kinetic energy be equal ignore the effects of friction

Answer 1

8)

At the top of the slope, the skier has height above the ground. The energy at this point is fully potential energy. As it moves down the slope, the potential energy is being converted to kinetic energy. This is in line with the law of conservation of energy. At the mid point of the slope, the potential and kinetic energies would be equal. At the base of the slope, there is no height above the ground. The energy is fully potential. Thus, the answer is

At the midpoint of the slope