Value of universal gravitational constant in $\text{SI}\left({\text{Nm}}^{\text{2}}{\text{Kg}}^{-\text{2}}\right)$ is 

The value of universal gravitational constant, denoted by the symbol G, is a fundamental constant used in Newton's Law of Gravitation. It represents the proportionality factor that quantifies the gravitational force between two masses separated by a certain distance.

In the International System of Units (SI), the value of universal gravitational constant is approximately:

6.67 × 10^-11 Nm²kg^-2

This value signifies that the gravitational force between two objects is extremely small unless the masses involved are significantly large, such as celestial bodies. The unit Nm2kg-2 indicates that the constant is derived from Newtons (force), meters squared (distance squared), and kilograms squared (mass squared).

Applications of the Value of Universal Gravitational Constant

• It is used to calculate the gravitational force between two objects using the formula: F = G * (m1 * m2) / r2, where m₁ and m₂ are the masses, and r is the distance between them.
• The value of universal gravitational constant helps in determining planetary motions and orbital dynamics.
• It plays a key role in understanding astrophysical phenomena, including the study of black holes and galaxies.

The accuracy of the value of universal gravitational constant has been improved through advanced experiments, but its precise measurement remains a challenging task in physics.