Which of the following is a unit of universal gravitational constant G?
\(\text{Nm}^2/\text{kg}^2\)
Newton's law of universal gravitation is \(F = \dfrac{G m_1 m_2}{r^2}\), so \(G = \dfrac{F \, r^2}{m_1 m_2}\).
Substituting the SI units gives \(G\) in \(\dfrac{\text{N} \cdot \text{m}^2}{\text{kg}^2}\). Hence, \(\text{Nm}^2/\text{kg}^2\) is correct. The other options mix units of force, mass and time that cannot be derived from the gravitation equation.
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