A particle of mass (m) moves in one dimension subject to a force (F) of constant magnitude,
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A particle of mass \(m\) moves in one dimension subject to a force \(F\) of constant magnitude, but directed toward the left for positive \(x\) and to the right for negative \(x\). Thus the potential energy has the form \(U=k|x|\) for some constant \(k\). Using action-angle variables, find the frequency of oscillation as a function of the particle's energy.
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