Energy Conservation and Gravitation 1. Mikaela Shiffrin (64 kg) is traveling at 15 m / s when she is at an elevation of 120 m above the lowest point in the course. i. Find Mikaela's total energy. (5) ii. Ignoring friction and drag, how fast is she going when she reaches the bottom of the hill? (10) iii. After reaching the bottom, she continues up the next hill, eventually slowing down and coming to a stop. At what elevation does she stop? (10) Energy can also be dissipated into the environment of the system in the form of thermal energy. This occurs when things like friction do work on the system, as you can tell intuitively by the fact that your hands heat up when you rub them together. Let us approximate the course to be at and the hill to be constant in slope at 30 degrees above the vertical. 1v. Unfortunately, Mikaela used the wrong wax on her skis during this race, and there is a constant friction force between Mikaela's skis and the snow of 0.5 N. How much work does this friction do on Mikaela (Le. how much thermal energy is dissipated into the skis/ snow by her traveling down this bill) (10) v. The next hill that Mikaela goes up has snow that is much better suited for the wax she used on her skis and there is zero friction between her skis and the snow here. What height will she reach now? 10