Dimensional Analysis

Practice: A box moving with an initial speed v is accelerated horizontally. If x is measured in [m],
v in [m/s], a in [m/s²], t in [s] which of the following equations is correct for solving the distance x?

Practice: Newton’s Law of Gravitation describes the attraction force between two masses. The equation is

$\mathit{F}\mathbf{=}\mathit{G}\frac{{\mathit{m}}_{\mathbf{1}}{\mathit{m}}_{\mathbf{2}}}{{\mathit{r}}^{\mathbf{2}}}$

where F is in [ kg·m / s² ], m₁ and m₂ are masses in [ kg ], and r is the distance in [ m ] between them.

Determine the units of the Universal Constant G.