# Green's theorem - work

Not what you're looking for? Search our solutions OR ask your own Custom question.

A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - x^2) to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x,y)= < x, x^3 + 3xy^2 >.

Â© BrainMass Inc. brainmass.com November 24, 2022, 2:21 pm ad1c9bdddfhttps://brainmass.com/math/basic-calculus/greens-theorem-work-215713

#### Solution Preview

According to Green's theorem, the integral is equivalent to int_D (3x^2 + 3y^2) dx dy ...

#### Solution Summary

This provides an example of using Green's theorem to find work done.

$2.49