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"BOTTOM LINE: Defining work in terms of potential energy is a
blunder. Defining potential energy in terms of work is an even bigger
blunder."
Many respected authors do this of course,
(define potential energy in terms of work)
E.g.
Feynman chapters 13 and 14 Vol. 1
Goldstein page 4, 3rd ed.
Arnold page 15
Marion 4th ed., page 79
. . . ad nauseum