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An object with a mass of 0.527kg is attached to a long horizontal spring with a constant of 52.6kg/s2. For a moment when t = 0, the object has a maximum speed of 21.3m/s.

(a) What is the amplitude of oscillation?

(b) For the center defined as x = 0, where in the motion is the potential energy three times the kinetic energy (take the positive x value for the input)?

(d) At small angles with the same object, what length is required for a pendulum to have the same period?

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