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Ball on Slide

  1. Oct 26, 2009 #1
    1. The problem statement, all variables and given/known data

    A toddler is having fun rolling a ball down a slide of height h=4 m. The ball can be considered as a thin spherical shell, Icm=(2/3)mr^2, with m being its mass and r being its radius. What is the velocity of the ball at the bottom of the slide?

    http://schubert.tmcc.edu/enc/51/76a002f3ae50dbbab12d33cf0762512f807c557c31b679999d542c0ad5867fc1faec19c5cc0644a0057420a72734c009d46cf669ed738b61fc0def4a303f9990.gif


    2. Relevant equations

    KE(i) + PE(i) + Iw(i) = KE(f) + PE (f) + Iw(f)

    KE(i) = Initial Kinetic Energy
    PE(i) = Initial Potential Energy
    Iw(i) = Initial Inertia*Omega

    KE(f) = Final Kinetic Energy
    PE(f) = Final Potential Energy
    Iw(f) = Final Inertia*Omega

    3. The attempt at a solution

    I think I am supposed to use the above equation but I am not quite sure. Any suggestions? Thanks.
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Oct 26, 2009 #2

    ehild

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    Homework Helper
    Gold Member

    You want to use conservation of mechanical energy, don't you? But Iw is not energy. It is angular momentum.

    ehild
     
  4. Oct 26, 2009 #3
    So, what do I do with this value: Icm=(2/3)mr^2? I am sure that it plays a part in solving for the solution.
     
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