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A skier of mass 60kg starts at rest at the top of a steep slope with an incline of s = 40. The slope

A skier of mass 60kg starts at rest at the top of a steep slope with an incline of θ s = 40°. The slope has slight coefficient of friction μ k = 0.05. The slope is L = 100 meters long. At the bottom of the slope, there is an ice ramp (frictionless) that is 10 meter long and angled up θ r = 30°.

  • Draw a diagram of the problem.
  • How much potential energy does the skier start with?
  • How much total energy does the skier start with?
  • How much energy is lost to friction on the slope?
  • How fast is the skier travelling when she flies off the ramp?
  • 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?
  • The trampoline behaves like a spring. If the first bounce on the trampoline depresses the trampoline surface by Δy = 1 meter. Without worrying about energy losses. What is the characteristic spring constant of the trampoline?
  • Due to losses in the system, the trampoline losses about 2000 Joules every bounce. How many times does the skier bounce?

Where does 2000 joules on each bounce go? Speculate.

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