Derive the dimension of the Universal Gravitational Constant (G).

Here are the solutions to the dimensional analysis problems.

1. Derived the dimension of the following physical quantities:

• Universal Gravitational Constant ($G$) Formula: $G = \frac{Fr^2}{m_1 m_2}$ Dimensions: $[F] = \text{M L T}^{-2}$ $[r^2] = \text{L}^2$ $[m_1 m_2] = \text{M}^2$ $$$$