Question: A system consists of two interacting particles 1 and 2 , with particle 1 confined to an (x) axis and the system in equilibrium when

A system consists of two interacting particles 1 and 2 , with particle 1 confined to an $x$ axis and the system in equilibrium when particle 1 is at a given position on that axis. If displacing particle 1 in either direction from this position requires positive work to be done on the system by an external force, what is the shape of the potential energy curve (as a function of position) for the system in the region near equilibrium?

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