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I may be totally misinterpreting DR's question but let me rephrase it=
in a way that I think my student's would ask it. If we have two bal=
ls connected by a spring and we compress the spring by holding one ba=
ll stationary while moving the other ball toward it, haven't we done =
work on*both* balls?
After all, our muscles are working to keep the stationary ball steady=
. Where does that energy go if not into the stationary ball or at le=
ast the two-ball configuration?