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Homework Help: Potential Energy part 2

  1. Jan 6, 2008 #1
    1. The problem statement, all variables and given/known data

    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. Relevant 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]

    3. The attempt at a solution

    [tex] U(x) = \frac k (x^3) y^2[/tex]

    work done= force*distance


    [tex] \vec{f}=-\vec{\nabla}\,U[/tex]
  2. jcsd
  3. Jan 6, 2008 #2


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    Science Advisor
    Homework Helper

    it is straightforward to derive the force from that potential, can you do it? or have you tried?
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