Ratio of kinetic energy of a point where potential energy is minimum (of potential energy vs time diagram , case of simple block spring system) to the total energy is

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Solution

The kinetic energy at the point of minimum potential energy is maximum as the total energy remains the same. Now in case of S.H.M minimum potential energy is zero. So the kinetic energy at the point of minimum potential energy is equal total energy. So at this point ratio of kinetic energy to total energy is 1

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