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How far did it roll? Help!

  1. Feb 2, 2010 #1
    1. The problem statement, all variables and given/known data

    In 1453, during the siege of Constantinople, the Turks used a cannon capable of launching a stone cannonball with a mass of 5.40 x 10^2 kg. Suppose a soldier dropped a cannonball with this mass while trying to load it into the cannon. The cannonball rolled down a hill that made an angle of 30.0° with the horizontal. If 5.30 x 10^4 J of work was done by gravity on the cannonball as it rolled down a hill, how far did it roll?

    2. Relevant equations



    3. The attempt at a solution

    I know that you're looking for the distance traveled, obviously, but how do i get to that?!
    KE = 1/2 mv^2?
     
  2. jcsd
  3. Feb 2, 2010 #2

    berkeman

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    Staff: Mentor

    The cannonball has two forms of KE. Linear KE (your formula that you listed), and rotational KE , which is influenced by the moment of inertia of the ball...
     
  4. Feb 2, 2010 #3
    So what formula would i use for the inertia of the ball?
     
  5. Feb 2, 2010 #4

    berkeman

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    Staff: Mentor

    You tell us! It's your class.
     
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