what is the last energy transformation common to the given samples
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In every energy transformation, a small but measurable amount of energy is inevitabely dissipated as heat and/or sound — i.e., thermodynamic entropy.
For a gedanken experiment to visualize an example of a “zero dissipation” system, imagine a pendulum system eqipped with a “friction free” hinge (impossibility #1) set up in an otherwise empty box (absolute vacuum (impossibility #2));
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