A particle with mass 1.67 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.803 m and a duration of 129 s for 74 cycles of oscillation. Find the frequency, f, the speed at the equilibrium position, vmax, the spring constant, k, the potential energy at an endpoint, Umax, the potential energy when the particle is located 46.9% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and the speed, v, at the same position.
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