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: Start with the formula

$F_g=\frac{GM_1M_2}{r^2}$

Step2: Multiply both sides by $r^2$

$F_g r^2 = GM_1M_2$

Step3: Divide both sides by $GM_2$

$M_1=\frac{F_g r^2}{GM_2}$

Answer:

$M_1=\frac{F_g r^2}{GM_2}$