1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Potential of conservative force

  1. Nov 18, 2011 #1


    User Avatar

    1. The problem statement, all variables and given/known data

    Find the potential of the following conservative and central-symmetric force


    2. Relevant equations

    [itex]\vec{F}=-\nabla U[/itex]

    3. The attempt at a solution

    I can integrate by components?

    [itex]F_{x}=-\frac{\partial U}{\partial x}[/itex]

    Getting: [itex]U_{x}=-\int xf(x)dx[/itex]

    Not sure on this..
  2. jcsd
  3. Nov 18, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper

    It's a system of PDE's for the same function Ux doesn't exist, since U is a scalar. You should have

    [tex] U = - \int x f(x,y,z) dx + g(y,z) [/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Potential of conservative force
  1. Conservative force (Replies: 5)