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7. A particle of mass m moves (in the region x >0) under a force F = -kx + c/x, where k and c are positive constants. Find the corresponding potential energy function. Determine the position of equilibrium, and the frequency of small oscillatoins about it.

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It finds the potential energy function corresponding to the force F = -kx + c/x. In turn, it determines the position of equilibrium, and the frequency of small oscillatoins about it. The solution is detailed and received a '5/5' from the student who posted the question originally.

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