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Ski Slope using Energy Conservation

  1. Dec 1, 2009 #1
    1. The problem statement, all variables and given/known data

    It's been a great day of new, frictionless snow. Julie starts at the top of the 60 degree slope shown in the figure . At the bottom, a circular arc carries her through a 90 turn, and she then launches off a 3.0--high ramp. How far horizontally is her touchdown point from the end of the ramp?

    10.P49.jpg

    2. Relevant equations

    Ug = mgh
    K = 0.5mv2
    Kinematics equations

    3. The attempt at a solution

    I know I need to use energy conservation to find the kinetic energy at the end of the ramp so I can find the velocity of the skier then, but I do not know how I can find Ug at the top of the ramp without knowing the skier's mass (too many unknowns). Once I know the initial Ug or Kmax I know how to solve the problem, but I'm having trouble getting there.
     
    Last edited: Dec 1, 2009
  2. jcsd
  3. Dec 1, 2009 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    Never mind the mass, it will cancel. Just use m for the mass or any number you like.

    ehild
     
  4. Dec 1, 2009 #3
    Thanks ehild, got it.
     
  5. Dec 16, 2009 #4
    Just wondering how the launch angle is determined in this question?
     
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