A glider of mass m is attached to a spring that has a force constant k. The glider is set into simple harmonic motion with amplitude A. Determine the positions (by the magnitude) at which the kinetic and the potential energies of the glider are equal. Use a coordinate system whose center is in the equilibrium position of the glider, where the x-axis is directed to the right, and the point of the spring's attachment to the wall has a negative x-coordinate.
Express your answer in terms of the variables m, k, and A.
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A/sqrt2
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