# Line Integral Work Problem

1. Oct 13, 2011

### naptor

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

3. The attempt at a solution

I converted the equation for the curve to Cartesian coordinates using (x,y)=rCos$\theta$i+rSin$\theta$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 unless it is just too easy
1. The problem statement, all variables and given/known data