A [m]-kg skier is skiing down a slope and passes through poi…

A [m]-kg skier is skiing down a slope and passes through points A, B, and C, before jumping off of a ramp at C. The path between points B and C forms part of a circle that is centered at point O and has a radius R = [R] m. Point C corresponds to the lowest point of the circle. (When the skier jumps from the ramp, the skier’s initial velocity will be horizontal.) Find the skier’s speed at point C in m/s, if the normal force on the skier at point C (at the instant before leaving the ramp) is Fn = [Fn] N. Report this value in the space below (show all of your work on your paper, with the same answer).

On the ski slope from the previous question, a second skier…

On the ski slope from the previous question, a second skier of mass 47 kg passed point A with speed = [v1] m/s, and simply “coasted” downhill, with negligible friction, until reaching point C with speed = [v2] m/s. Find the height of point A above point C.