[tex] m_{1} =m_2[/tex]
[tex] F_gravity [/tex] = 0.30 μn = [tex] (0.3)10^6[/tex]
Using Newton's Equation for universal gravitation we can derive the masses
[tex] F_{g} = G \frac{ m_{1} m_2}{d^2} [/tex]
[tex] F_{g} = G \frac{ 2m}{d^2}[/tex]
[tex]2m=\frac{d^2( F_{g}) }{G}[/tex]
[tex]m=\frac{d^2( F_{g}) }{2G}[/tex]
[tex]m=\frac{0.019^2( 0.3)(10^6)}{2 (6.673 (10^{-11})}[/tex]
[tex]m=\frac{0.019^2( 0.3)}{2 (6.673 (10^{-5})}[/tex]
[tex]m= 0.8114 kg[/tex]
