A skier of mass 60 kg starts at the top of a steep slope with an incline of 40 degrees . The slope has a slight coefficient of kinetic friction of 0.05 . The slope is L = 100 meters long. At the bottom of the slope, there is an ice ramp (frictionless) that is 10 meters long and angled up at 30 degrees. a) Draw a diagram of the problem. b) How much potential energy does the skier start with?c) How much total energy does the skier start with?d) How much energy is lost to friction on the slope?e) How fast is the skier traveling when she flies off the ramp?f) If there is a large trampoline positioned to catch the skier at the same altitude (y-position) as the beginning of the ramp, where should it be positioned?g) The trampoline behaves like a spring. If the first bounce on the trampoline depresses the trampoline surface by delta y=1m, Without worrying about energy losses, what is the characteristic spring constant of the trampoline?h) Due to losses in the system, the trampoline losses about 2000 Joules every bounce. How many times does the skier bounce? Where does the 1000 Joules on each bounce go? Speculate.