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Conservation of energy and centripital force

  1. Nov 11, 2009 #1
    1. The problem statement, all variables and given/known data
    Jin is sitting on top of a hemispherical, frictionless igloo of radius 2.40 meters. His friend pushes him, giving him an initial speed. Jin slides along the igloo and loses contact with it after he has traveled 1.60 meters along the surface. What was his initial speed?


    2. Relevant equations
    KEi+PEi=KEf+PEf

    Ei=Ef

    F=macos(angle)

    Work=KE+PE

    Work=Fx(delta x)

    S=(angle)(radius)

    PE=mgh

    KE=.5(m)(v^2)

    Fc=mv^2/r


    3. The attempt at a solution

    I drew a picture of a semicircle and used the S=theta(r) equationand trignometry to find that the hieghts (2.40m initial and 1.89m when leaves igloo). I used the fact that the centripal force would be equal to the force of gravity to find the velocity when jin left the igloo(4.85m/s) and used the conservation of energy to find that the inital velocity was 3.68m/s. This was wrong.?????????
     
  2. jcsd
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