- #1
imy786
- 322
- 0
Homework Statement
A particle moving in the x - y plane is subject to a conservative force F(x, y)
whose potential function is V = Kx^3y^ 2, where K is a constant.
Evaluate F(x, y). Also, determine the work done on the particle by this force
in moving it from the origin, x = O, y= O, to the point x = 2, y= 4.
2. Homework Equations
[tex] \vec{f}=-\vec{\nabla}\,U\Rightarrow \vec{f}=-\left(\frac{\partial U}{\partial x},\frac{\partial U}{\partial y},\frac{\partial U}{\partial z}\right)[/tex]
The Attempt at a Solution
[tex] U(x) = \frac k (x^3) y^2[/tex]
work done= force*distance
force:
[tex] \vec{f}=-\vec{\nabla}\,U[/tex]