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## Homework Statement

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.

## Homework Equations

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