The universal constant of gravitation G has the unit

The universal constant of gravitation (G) is a fundamental physical constant appearing in Newton's law of universal gravitation. The law states that the gravitational force (F) between two masses (m1 and m2) separated by a distance (r) is given by the formula F = G(m1*m2)/r^2. To find the units of G, the equation is rearranged as G = (F*r^2)/(m1*m2). Substituting the standard SI units—Newtons (N) for force, meters (m) for distance, and kilograms (kg) for mass—the unit for G is derived as N-m^2/kg^2. Experimentally, the value of G is approximately 6.67 x 10^-11 N-m^2/kg^2. While other options like Newtons (force), m/s (velocity), and Joules (energy) represent different physical quantities, N-m^2/kg^2 is the only unit that balances the gravitational equation.