Determine the SI unit of the universal constant of gravitation from the formula for the gravitational force between two particles. Hence, state the CGS unit of the constant of gravitation.

Explanation

According to Newton's law of gravitation, the gravitational force between two particles is `F=G(m_(1)m_(2))/(r^(2))`,
where `m_(1) and m_(2)` are the masses of the two particles, r is the distance between them and G is the universal constant of gravitation.
`therefore G=(Fr^(2))/(m_(1)m_(2))`
The SI unit of force is the newton (N), that of distance is the metre (m) and that of mass is the kilogram (kg).
`therefore" The SI unit of G is "(N.m^(2))/(kg^(2))`
The CGS unit of G is `("dyne-cm"^(2))/(g^(2))`