Answer:
Distance, r = 700.31 m
Explanation:
Mass of two objects, [tex]m_1=m_2=5\times 10^{15}\ kg[/tex]
Force between the objects , [tex]F=3.4\times 10^{15}\ N[/tex]
We need to find the distance between the two objects. The force of gravitational between two objects is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\r=\sqrt{\dfrac{Gm_1m_2}{F}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times (5\times 10^{15})^2}{3.4\times 10^{15}}}\\\\=700.31\ m[/tex]
So, the distance between the objects is 700.31 m.