A particle moves in the field of a central force for which the potential energy is (U(r)=k
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A particle moves in the field of a central force for which the potential energy is \(U(r)=k r^{n}\), where both \(k\) and \(n\) are constants, positive, negative, or zero. For what range of \(k\) and \(n\) can the particle move in a stable, circular orbit at some radius?
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