(Solved): Lennard-Jones Potential \[ E(r)=4 \epsilon\left[\left(\frac{\sigma}{r}\right)^{12}-\left(\frac{\si ...

Lennard-Jones Potential \[ E(r)=4 \epsilon\left[\left(\frac{\sigma}{r}\right)^{12}-\left(\frac{\sigma}{r}\right)^{6}\right] \] 1) Determine the \( \mathrm{L} \) force (on paper) 2) Plot the potential energy 3) Plot the force 4) Plot both force and potential on same figure \( \vec{F}=-\vec{\nabla} V \)