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The gravitational constant, approximately 6989667400000000000â 6.674Ã10â11 Nâm2/kg2 and denoted by letter G, is an empirical physical constant involved in the calculation(s) of gravitational force between two bodies.
g-force (with g from gravitational) is a measurement of the type of acceleration that causes weight. Despite the name, it is incorrect to consider g-force a fundamental force, as g-force (lower case character) is a type of acceleration that can be measured with an accelerometer.