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Line Integral Work Problem

  1. Oct 13, 2011 #1
    1. The problem statement, all variables and given/known data
    The Problem states: Given the force vector field(in polar coordinates) : F(r,[itex]\theta[/itex])=-4Sin[itex]\theta[/itex]i+4Sin[itex]\theta[/itex] j, compute the work done in moving a particle from (1,0) to the origin along the curve whose polar equation is : r=[itex]e^{-\theta}[/itex]

    3. The attempt at a solution

    I converted the equation for the curve to Cartesian coordinates using (x,y)=rCos[itex]\theta[/itex]i+rSin[itex]\theta[/itex]i, however in order to find the line integral I think I should also have the vector in Cartesian, but I can't see a way to convert it. I basically did not understand the vector field equation it seems to have no relation whatsoever with r so ... Anybody has any tips how should I attack this one? and please, no spoilers :smile: unless it is just too easy
    1. The problem statement, all variables and given/known data
  2. jcsd
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