Newton's law of gravity is F = GMm/r². What are the SI units of the gravitational constant G? A) G is dimensionless. B) N kg²/m² C) N m²/kg² D) kg²/N • m² E) N

Question

Quizplus · Accepted Answer

The equation F = GMm/r^2 provides the unit of G. Rearranging the equation, we get G = Fr^2/Mm. From this, the unit of G can be derived as N*m^2/kg^2. Thus, the SI unit of G is N*m^2/kg^2 or, using exponent notation, N*m^2/kg^2. Simplifying the units, we get N(m/kg)^2, which is equivalent to N*m^2/kg^2. Therefore, the correct choice is C.

Newton's Law of Gravity Is F = GMm/r2

Newton's Law of Gravity Is F = GMm/r²