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Homework Help: Is it reasonable?

  1. Feb 2, 2005 #1
    A 54kg ice skater skating at 6.4 m/s stops. If 50% of the heat generated is transfered to the ice, calculate how much ice is melted.

    My solution:

    (54 x 6.4^2)/2 = 1106 J

    1106 x 0.5 = 553 J

    553 = m x 3.33 x 10^5 (3.33 x 10^5 is latent heat of fusion of ice)

    m = 1.6 grams

    It sounds too small to be true, can someone verify please?
  2. jcsd
  3. Feb 2, 2005 #2


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    If the unit for ice melting latent heat is J/Kg,then it's okay...

    Why surprised??

  4. Feb 2, 2005 #3


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    You are correct.

    - Warren
  5. Feb 2, 2005 #4


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    Hey, you can hardly expect the whole skating rink to melt just because one skater comes to a halt!
  6. Feb 3, 2005 #5
    lol thanks guys! I tend to doubt my calculations sometimes.... I was expecting something on 10 grams :smile:
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