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"The analogy to the rubber band is a visual example: The band
changes its geometry as you stretch it, and energy resides in that altered
geometry. Allowing the band to return to its "natural" geometry releases
the energy."
Not a good example except in the "mind's eye"
Try this experiment:
W/ a high quality very large rubber band Stretch it and hold 'til
equilibrium. Then using your lips as a thermometer (hold gently against one)
allow the band to relax. If you are releasing it's energy it should warm,
right? What does happen?
Rubber makes rather interesting thermodynamic engines