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Finding the work done by a force

  1. Nov 16, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the work done by the fore F(x,y,z)=xy i = yz j + zx k

    2. Relevant equations

    z=t^3, y=t^2 x=t
    0<=t<=1

    3. The attempt at a solution
    I don't understand how to get started because I've got no r(t) so I have nothing to dot product the F(x(t),y(t),z(t)) once the substitution occurs. Does anyone know how to get to the r(t)?
     
  2. jcsd
  3. Nov 16, 2009 #2
    r(t) = x i + y j + z k= t i + t^2 j + t^3 k.
     
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