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The statement "energy = ability to do work" is at best meaningless.
The second statement is not useful; perhaps it is wrong. .... Certainly
heat plays no role in the process; no energy is transferred between the
blocks impelled by temperature differences. If you say "but heat must
be generated by the process of friction" you will be using the term
"heat" with its vulgar meaning, not the technical meaning we employ
in thermodynamics.
(e.g. "What temperature rise is to be expected?" rather than "Can weNo. As to why, answer the question "Why is it unacceptable to spit on
the floor?" Acceptability is a matter of convention in both cases. ....
You have defined the problem almost well enough. Please reformulate
it carefully and ask a physical rather than a linguistic question