In Newton's law of gravity the universal gravitational constant is G = Fr²/m₁m₂, where F is the gravitational force between the two masses, m₁ and m₂, and r is the distance between them. What are the dimensions of G? A) L²M^-1T ². B) L³M^-1T ^-2 C) L²M^-2T ^-2 D) L³M^-1T ². E) L^-3M¹T ³.

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Quizplus · Accepted Answer

The dimensions of force F are MLT^-2, distance r is L, and mass m is M. Substituting these into G = Fr^2/m1m2 gives dimensions of L^3M^-1T^-2.

In Newton's Law of Gravity the Universal Gravitational Constant Is