A particle of mass m is subject to the one dimensional force F = x-x^3. Determine whether or not this force is conservative. If it is: a) write the scalar potential and find the turning points, b) write the kinetic energy and show that the sum of the kinetic and potential energy is independent of position.
How do I find the scalar potential??
The Attempt at a Solution
In order to be conservative, I know that the curl must equal zero. Taking the curl:
[tex]\nabla[/tex] x F = 0