Question

the formula to calculate the gravitational force between two objects is ( f_{g}=\frac{gm_{1}m_{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_{2} ) in terms of ( f_{g},g,m_{1} ) and ( r ).

Explanation:

Step1: Multiplicar ambos lados por \(r^{2}\)

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

Step2: Dividir ambos lados por \(GM_{1}\)

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

Answer:

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