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.... Then you wrote:
Of course the block did not do work on the table; nothing is going to do work
on the table since it is assumed stationary.
Here you are using a *different* definition of work (i.e., work on the
system = change in kinetic energy of the system--the kind of work that we,
and many others, call "pseudowork"). I have no quarrels with that
definition, I simply require you to recognize that it is a different
definition. This is why I said and why I say again ...