This problem uses the ideal spring force in one dimension.  F = -kx, where x is the deviation from equilibrium, and k is the spring constant.  Calculate the particle's maximum speed (vmax), with these numbers: k = 2000 N/m = 2000 kg/s2 m = 5 kg (the mass of the particle) x0 = 0.2 m (the initial position) v0 = 5 m/s (the initial velocity

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