A skier starts at rest before shooting down a slope that is 127 m long and inclined at an angle of 18.5°. The skier and equipment together have a mass of 45.3 kilograms. When she reaches the bottom of the hill, she slides for another 72.4 meters along level ground before she starts going up another hill, at an angle of 24.1°. For the entire trip, the coefficient of kinetic friction between the skis and the snow is 0.115. This is a long one: take it in small bites! Use forces and accelerations to answer all these questions.
(3 pts) Draw a diagram showing all the forces that are acting on the skier as she descends the first hill. If any forces need to be broken up into components, show those components, and write out formulas for those components.
(3 pts) What is the skier's velocity at the bottom of the first hill? Express your answer in m/s, and in miles/hour. (Hint: find the acceleration down the hill first.)
(3 pts) What is the skier's velocity when she reaches the bottom of the second hill? Express your answer in m/s, and in miles/hour.
(3 pts) Draw a diagram showing all the forces that are acting on the skier as she goes up the second hill. If any forces need to be broken up into components, show those components, and write out formulas for those components.
(4 pts) How many meters up the second slope does she get before she starts sliding back down?
(4 pts) Explain using forces and accelerations why it will take her longer to slide down the second hill than it does to go up.