Question

the formula to calculate the gravitational force between two objects is $f_g=\frac{gm_1m_2}{r^2}$, where $m_1$ and $m_2$ are the masses of the objects, $g$ is the gravitational constant and $r$ is the distance between the objects. solve for $m_1$ in terms of $f_g$, $g$, $m_2$ and $r$.

Explanation:

Step1: Multiply both sides by $r^{2}$

$F_{g}r^{2}=GM_{1}M_{2}$

Step2: Divide both sides by $GM_{2}$

$M_{1}=\frac{F_{g}r^{2}}{GM_{2}}$

Answer:

$M_{1}=\frac{F_{g}r^{2}}{GM_{2}}$