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Math Help - Energy Problem

  1. #1
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    Energy Problem

    A cart in roller coaster is at a height of 80m above ground,and has initial speed of 15m/s and mass of 1200kg. Determine the speed of the cart at the top of the first loop if the loop is 40m.

    Help please, thanks =)
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  2. #2
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    Quote Originally Posted by Hellooo View Post
    A cart in roller coaster is at a height of 80m above ground,and has initial speed of 15m/s and mass of 1200kg. Determine the speed of the cart at the top of the first loop if the loop is 40m.

    Help please, thanks =)
    no picture?

    at what height is the top of the first loop relative to the ground?
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  3. #3
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    sorry, ill try to post a picture >.<



    here it is =]]




    it's 80m not 80n, my bad.
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  4. #4
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    conservation of energy ...

    mgh_0 + \frac{1}{2}mv_0^2 = mgh_f + \frac{1}{2}mv_f^2

    solve for v_f
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  5. #5
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    so vf=31.8m/s?

    Thanks for the quick replies =))
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