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Question

The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is N/m.

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Solution

Total potential energy = 0.04 J
Resting potential energy = 0.01 J
Maximum kinetic energy = (0.04 - 0.01) = 0.03 J, which should be equal to 12mω2a2 or 12ka2 .
0.03 = 12k×(201000)2k = 0.06 × 2500 N/m = 150 N/m

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