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Homework Help: Child sliding down a frictionless slide

  1. Jan 9, 2007 #1
    1. The problem statement, all variables and given/known data

    A child starts from rest and slides down a frictionless slide. In terms of R and H,
    at what height h will he lose contact with the section of radius R?

    (child starts at the top with height H, at the bottom the slide flattens out and then forms a quarter circle to the ground with radius R)


    2. Relevant equations



    3. The attempt at a solution
    I tried figuring it out using potential energy and kinetic energy since that is the chapter. I think it has something to do with mgH=mgh+1/2mv^2 and then solving v^2 for some value using centripetal motion but I wasn't sure how to set that step up.
     
  2. jcsd
  3. Jan 9, 2007 #2

    Gib Z

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    Homework Helper

    I had you attempt at a solution in mind as well. Equating Potential Energies and solving. Now, what is the equation for Centripetal Force?

    [tex]F=\frac{mv^2}{r}[/tex]

    Just work from there.
     
  4. Jul 9, 2008 #3
    My attempt for a solution has given the answer h=2H/3 if R >=2H/3 , else h=R
    Is it possible?
     
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