Answer: [tex]1.50075*10^{-10}\ N[/tex]
Explanation:
For this exercise we need to use the Gravitational Force Formula. This is:
[tex]F_g=G(\frac{m_1*m_2}{r^2})[/tex]
Where [tex]F_g[/tex] is the gravitational force between two objects, [tex]G[/tex] is the gravitational constant ([tex]G=6.67*10^{-11}\ \frac{Nm^2}{kg^2}[/tex]) and [tex]r[/tex] is the distance between the objects.
We know that:
[tex]m_1=6.0\ kg\\\\m_2=6.0\ kg\\\\r=4.0\ m[/tex]
Therefore, in order to calculate the magnitude of the gravitational force between the two masses, we must substitute these values into the formula.
Then we get:
[tex]F_g=(G=6.67*10^{-11}\ \frac{Nm^2}{kg^2})(\frac{(6.0\ kg)(6.0\ kg)}{(4.0\ m)^2})\\\\F_g=1.50075*10^{-10}\ N[/tex]