# Homework Help: Calculate work over a field

1. Sep 17, 2008

### S[e^x]=f(u)^n

1. The problem statement, all variables and given/known data
F=(5y+3x-6)i + (2x-y+4)j. find work done by the force on a particle following a triangular path with verticies (0,0),(4,0),(4,3) where the positions are given in meters.

2. Relevant equations
Int(F(x,y))dx*dy ? not really sure for 2 dimensional problems

3. The attempt at a solution
I integrated the force equation with respect to x and then y to obtain...
2xy(5y+3x-3)i + xy(x-(1/2)y+4)j and then calculated the work for each section of the path and added them together. i don't think its the right way to do it though. Is there a way to solve this without the need for line integrals!? Please help

2. Sep 17, 2008

### S[e^x]=f(u)^n

bump. basically i need to know how to figure out work done over a non uniform 2 dimensional field. even if it requires line integrals, if someone could walk me through it

3. Sep 18, 2008

### S[e^x]=f(u)^n

nobody knows? did i phrase my question wrong or something?