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I agree wholeheartedly with you. I studiously avoid the use of the phrase
"force of gravity" in my physics classes for the exact reason that you
state: it leads students to think that it is always the same magnitude,
even though they can calculate that it isn't. It is very confusing to
them. I use the term "gravitational attraction of the earth" in its
place. "Gravitational field" would be appropriate also, once we cover the
field concept.