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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. Its

1. potential energy is 160 J
2. potential energy is 100 J
3. potential energy is zero
4. potential energy is 120 J

Correct answer: potential energy is 160 J

Solution

In a linear harmonic oscillator, the total mechanical energy is entirely potential energy when the displacement is maximum (amplitude). Since the amplitude is given as 0.01 m, the total mechanical energy of 160 J is the potential energy at this point.

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