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Energy Problem

  1. Nov 18, 2007 #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 ^\circ slope shown in the figure. View Figure At the bottom, a circular arc carries her through a 90 ^\circ turn, and she then launches off a 3.0-m-high ramp.
    How far is her touchdown point from the base of the ramp?

    2. Relevant equations
    [tex](1/2)mv_i^2 + mgh_i = (1/2)mv_f^2 + mgh_f[/tex]

    3. The attempt at a solution

    I set mgh = 1/2 mv^2 + mgh
    m(9.8)(25)=.5m(v^2) + m(9.8)(3)
    I then got 4.08 m/s as the final velocity. But how do I figure out how far it goes if I don't know the acceleration or time?

  2. jcsd
  3. Nov 18, 2007 #2


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    Homework Helper

    Once the skier leaves the ramp, the rest is a ballistics problem. You found the speed at which they fly off; what is the angle to the horizontal at which they are launched? How do you figure out what happens to the skier after that?
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