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http://www.monmouth.com/~jsd/physics/weight.htm
John makes the case that g (vector) is "the acceleration of a nearby
freely-falling object relative to your chosen reference frame" but I think
he is then not able to write F_g = mg, which many want to do parallel with
F_e = qE.
I'll repeat what I've said when we had this discussion before (definition
of weight): I don't care what convention we adopt, I just hope we all adopt
the same one. And I'd like to know what it is so I can teach my students
consistently with the way y'all's students are being taught.
So what is g _really_?