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Homework Statement
The potential energy of two neutral molecules may be modeled using the Lennard Jones potential,
[tex]U(x)=U_0(\frac{\sigma^{12}}{x^{12}} - \frac{\sigma^6}{x^6})[/tex]
where [itex]U_0[/itex] and [itex]\sigma[/itex] are positive constants and [itex]x[/itex] is the distance between the two molecules.
a) Find the force at an arbitrary point x ?
Homework Equations
conservative forces and potential energy
The Attempt at a Solution
[tex]F(x) = -\frac{dU}{dx}= U_0(12\frac{\sigma^{12}}{x^{13}} - 6\frac{\sigma^6}{x^7})[/tex]
Is my answer correct ?