Answer:
[tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex]
Step-by-step explanation:
To find [tex]M_{2}[/tex], you can manipulate the formula.
[tex]F_{g}=\frac{GM_{1}M_{2}}{r^{2}}[/tex] (given)
[tex]F_{g}r^{2}=GM_{1}M_{2}[/tex] (times r² on both sides)
[tex]M_{2} = \frac{F_{g}r^{2}}{GM_{1}}[/tex] (divide both sides by [tex]GM_{1}[/tex])
∴ [tex]M_{2}=\frac{F_{g}r^{2}}{GM_{1}}[/tex] in terms of [tex]F_{g}, G, M_{1}[/tex] and [tex]r[/tex]
