Question

I could really use your help for problem #1​

Answer 1

Answer:

$\large\boxed{ r=\sqrt{\dfrac{GM_1M_2}{F_g}}}$

Step-by-step explanation:

$F_g=\dfrac{GM_1M_2}{r^2}\qquad\text{multiply both sides by}\ r^2\\\\F_gr^2=r^2\!\!\!\!\!\!\diagup\cdot\dfrac{GM_1M_2}{r^2\!\!\!\!\!\!\diagup}\\\\F_gr^2=GM_1M_2\qquad\text{divide both sides by}\ F_g\\\\\dfrac{F_g\!\!\!\!\!\!\diagup r^2}{F_g\!\!\!\!\!\!\diagup}=\dfrac{GM_1M_2}{F_g}\\\\r^2=\dfrac{GM_1M_2}{F_g}\Rightarrow r=\sqrt{\dfrac{GM_1M_2}{F_g}}$