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1) There are many situations where sign conventions are well
established. For instance, electrical engineers take the sign
of the electron to be negative, just to be compatible with
physics and with long-standing tradition -- even though the
opposite sign would be more convenient.
4) There is no standard definition of "physics work" and probably
never will be. There are in fact two competing notions:
-- work done _by_ the system
-- work done _on_ the system
and the over-abbreviated phrase "physics work" is just guaranteed
to be ambiguous.