A skier of mass 65.0 kg is racing down a giant slolam course. She starts at the top of the top of the course at rest. Over the course of her run, she travels 1470 m and drops 280 m in altitude. She crosses the finish line with a speed of 42.0 m/s. Take the finish line to be the reference level.
a. What is her total mechanical energy at the start of the course? Break it up into kinetic and potential energy.
b. What is her total mechanical energy at the finish line? Break it up into kinetic and potential energy.
c. How much mechanical energy did she lose to frictional heat on the way down?
d. Calculate the force of kinetic friction over her run.
e. If there had been no friction, what would would her speed have been at the finish line?