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A linear harmonic oscillator of force constant 2 × 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J. Show that its (a) maximum potential energy is 160 J (b) maximum kinetic energy is 100 J.

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From Eqns. (1.10) to (1.12), we have total mechanical energy = 1/2 kA2 + c

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