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A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitudeA.

Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy?

Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude?

Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3?

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