Question: Problem 2: Two particles with reduced mass orbiting each have a potential energy function U =0.5kr2, where k >0 and r is the distance between

Problem 2: Two particles with reduced mass orbiting each have a potential energy function U =0.5kr2, where k >0 and r is the distance between them. (a) Find the equilibrium distance r0(as a function of the angular momentum l) at which the particles can circle each other at a constant distance. [Hint: minimize Ueff](b) Determine if this is a stable equilibrium distance. (c) Find the period of that orbit

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