Two objects each with a mass of 5x10^15 kg have a gravitational
force of 3.4x10^15 N between them. How far apart are they?

Respuesta :

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.