We on earth do not feel either the gravitational field of the sun or the centrifugal force caused by the earth’s motion around the sun because the two forces balance each other, but this balance would be spoiled if one force was proportional to the mass of the objects on which it acts and the other was not; some objects might then fall off the earth into the sun and others could be thrown off the earth into interstellar space.
-Steven Weinberg
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