Answer to Question #203081 in Classical Mechanics for Glory

Question

Obtain the corresponding potential energy function of the intermolecular force F(r) = -ar^-7 + br^-9

Answer 1

Answer

Potential energy can be given as

$U=-F(r) dr\\U=-(-ar^{-7}+br^{-9}) dr\\U=\frac{-ar^{-6}}{6}+\frac{br^{-8}}{8}$