The word "gravity" is, by itself, utterly ambiguous. Nonetheless, our students will refer to a wide swatch of constants, principles, and equations by this single word. While that's not necessarily a problem in the context of a conversation with friends, the lack of specificity can get students confused and blown up when trying to solve test problems.
To the right is part of a recent fundamentals quiz about "gravity." (You can click on it to read it at full size.) I listed every possible equation or constant that has any tenuous connection to "gravity," and I asked students to identify these items in words. Here's a summary of correct and (real) incorrect answers:
(a) Correct: Net force on an object in uniform circular motion, or just centripetal force.
Incorrect: centrifugal force, net force, centripetal acceleration, gravitational force
(b) Correct: Gravitational force exerted by any massive object on another, or just gravitational force.
Incorrect: Newton's law, gravitational field, g
(c) Correct: acceleration of an object in uniform circular motion, or just centripetal acceleration
Incorrect: centrifugal acceleration, acceleration, centripetal force, net force, gravitational acceleration
(d) Correct: Weight, force of a planet on an object on the planet's surface.
Incorrect: free-fall acceleration, mass
(e) Correct: Gravitational field produced by a planet, free-fall acceleration
Incorrect: Force of gravity, force of g, Newton's law, force of a planet, centripetal force
(f) Correct: Gravitational field, or free-fall acceleration
Incorrect: Force of gravity, gravity, weight, free-fall force, gravitational constant
(g) Correct: Universal gravitation constant
Incorrect: Newton's law, force of gravity, free-fall acceleration, gravitational field, gravity
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