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Work done by quadratic air resistance.

  1. May 31, 2009 #1
    1. The problem statement, all variables and given/known data

    A baseball of mass 0.145kg and radius 0.0366m is dropped from a tower 381m high.

    2. Relevant equations



    3. The attempt at a solution

    Work=integral(from 0 to 381): c(2) (terminal velocity)^3*(tanh(t/(characteristic time)))^3 with respect to time.

    Gets me really strange (incorrect) numbers
     
  2. jcsd
  3. Jun 1, 2009 #2
    You could also look at it this way: the object would have a certain energy when it hits the ground if it was freefalling with no air resistance. It has less energy when it hits the ground if it falls with the air resistance. The difference is due to the work of the air resistance force.
     
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