# College Physics

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Can someone check my answers for two and help me with the third?

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

Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy?
x= A/3

Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude?
KE fraction= (3/4)

Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3?
KE'max / KEmax = ?

• College Physics -

Part (c)9

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