Question

I could really use your help for problem #1​

Answer 1

`\large\boxed{ r=\sqrt{(GM_1M_2)/(F_g)}}`

Explanation:

`F_g=(GM_1M_2)/(r^2)\qquad\text{multiply both sides by}\ r^2\\\\F_gr^2=r^2\!\!\!\!\!\!\diagup\cdot(GM_1M_2)/(r^2\!\!\!\!\!\!\diagup)\\\\F_gr^2=GM_1M_2\qquad\text{divide both sides by}\ F_g\\\\(F_g\!\!\!\!\!\!\diagup r^2)/(F_g\!\!\!\!\!\!\diagup)=(GM_1M_2)/(F_g)\\\\r^2=(GM_1M_2)/(F_g)\Rightarrow r=\sqrt{(GM_1M_2)/(F_g)}`