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Airborne skier

  1. Nov 2, 2011 #1
    1. The problem statement, all variables and given/known data
    A skier starts from rest at the top of a large hemispherical hill. Neglect friction and show that the skier will leave the hill becoming airborne at a distance of h=R/3 below the top of the hill. R is the radius of the hemispherical hill.


    2. Relevant equations
    Conservation of energy, balancing of forces, centripetal force = m(v2/r)


    3. The attempt at a solution
    I know this has to do with when the normal force becomes zero (or at least that's what I think). But I have no idea how to start this; can anyone point me in the right direction?
     
  2. jcsd
  3. Nov 2, 2011 #2
    You are on the right track.
     
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