Where f is the gravitational force, m and m are masses, and r is the length. Force has the si units kg · m/s2. The SI units of the proportionality constant G is [tex]Newton Kg^{-2} m^{2}[/tex]
Gravitational force is given by Newton's law of gravitation which states that every particle of matter in the cosmos is drawn to every other particle by a force of attraction that varies directly with the product of their masses and is inversely proportional to the square of the distance or degree of separation from each other.
[tex]F = G\frac{m_{1} m_{2}}{r^{2}}[/tex]
Upon rearranging the terms we get,
[tex]G = \frac{Fr^{2}}{m_{1}m_{2}}\\[/tex]
SI Unit of G = [tex]\frac{(Newton)(m^{2})}{kg^{2}}[/tex] = [tex]Newton Kg^{-2} m^{2}[/tex]
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