iven l, find the form of the potential U(r) such that the path of a particle subjected to this potential given by the spiral r(ϕ) = r0eαϕ, where r0 and α are constants

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Given l, find the form of the potential U(r) such that the path of a particle subjected to this potential given by the spiral r(ϕ) = r0eαϕ, where r0 and α are constants. Discuss the physics of the system.

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