Which statement correctly lists the units for the gravitational constant as given in the material?

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Multiple Choice

Which statement correctly lists the units for the gravitational constant as given in the material?

Explanation:
The gravitational constant’s units come from its role in Newton’s law of gravitation, F = G m1 m2 / r^2. If you solve for G, you get G = F r^2 / (m1 m2). So the units are [F] × [r]^2 / [m]^2 = (N) × (m^2) / (kg^2) = (kg·m/s^2) × m^2 / kg^2 = m^3 / (s^2·kg) = m^3 kg^-1 s^-2. This is exactly the form given: m3 kg-1 s-2. The other forms do not match the derived dimensional combination, so they aren’t correct.

The gravitational constant’s units come from its role in Newton’s law of gravitation, F = G m1 m2 / r^2. If you solve for G, you get G = F r^2 / (m1 m2). So the units are [F] × [r]^2 / [m]^2 = (N) × (m^2) / (kg^2) = (kg·m/s^2) × m^2 / kg^2 = m^3 / (s^2·kg) = m^3 kg^-1 s^-2. This is exactly the form given: m3 kg-1 s-2. The other forms do not match the derived dimensional combination, so they aren’t correct.

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