Newton's law of gravity is F = GMm/r².What are the SI units of the gravitational constant G? A)G has no dimensions B)N · kg²/m² C)N · m²/kg² D)kg²/N · m² E)None of these is correct.

Question

Quizplus · Accepted Answer

In the equation F = GMm/r^2, force (F) is measured in newtons (N), mass (m) is measured in kilograms (kg), and radius (r) is measured in meters (m). Rearranging the equation to solve for G, we get G = Fr^2/Mm. Plugging in the units we get: G = (N * m^2/kg^2). Therefore, the SI units of G are N·m^2/kg^2, which is equivalent to N·m/kg^2. The correct answer is C, N·m/kg^2.

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

Newton's Law of Gravity Is F = GMm/r²