(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

How do I find the scalar potential??

3. 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

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# Homework Help: Scalar Potential of a One-Dimensional Force

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