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Force & Potential Energy
10. Conservation of Energy / Force & Potential Energy / Problem 6
Problem 6

The interaction between two fluorine atoms in a diatomic molecule is described by the Lennard-Jones force F(r)=F0[2(σ/r)13(σ/r)7]F(r)=F_0[2(σ/r)^{13}-(σ/r)^7] , where r is their separation distance, and σ and F0F_0 are constants that characterize fluorine (F0=1.00×1010 N, σ=3.15×1011 mF_0=1.00\(\times\) 10^{-10}\ N,\ σ=3.15\(\times\) 10^{-11}\ m). Create the graph of the potential energy U(r)U(r) for distances ranging from 0.9r00.9r_0 to 2.0r02 .0r₀, where r0r₀ denotes the equilibrium separation distance between the atoms.