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The energy in a sound wave is both kinetic and potential.

Just as in a vibrating spring, the medium has mass and moves and so moving mass is kinetic energy.

Just as in the spring there is compression and rarefaction, so there is elastic potential energy.

In fact, these two are equal, potential energy = kinetic energy, just like a spring.

Just like in a vibrating spring, the total energy is constant and equal to the average kinetic energy plus the average potential energy.

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