Answer:
![1.50075*10^(-10)\ N](https://img.qammunity.org/2020/formulas/physics/middle-school/ao0nvk9uw0l3028zjcsou0tcg4rsn5s0mh.png)
Step-by-step explanation:
For this exercise we need to use the Gravitational Force Formula. This is:
![F_g=G((m_1*m_2)/(r^2))](https://img.qammunity.org/2020/formulas/physics/middle-school/28b3dilg3s3h5yb15eku3751u5uqhtkvcu.png)
Where
is the gravitational force between two objects,
is the gravitational constant (
) and
is the distance between the objects.
We know that:
![m_1=6.0\ kg\\\\m_2=6.0\ kg\\\\r=4.0\ m](https://img.qammunity.org/2020/formulas/physics/middle-school/3oq6imcccmx2f9mlelefhaugqwzopj2k2l.png)
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:
![F_g=(G=6.67*10^(-11)\ (Nm^2)/(kg^2))(((6.0\ kg)(6.0\ kg))/((4.0\ m)^2))\\\\F_g=1.50075*10^(-10)\ N](https://img.qammunity.org/2020/formulas/physics/middle-school/chthfjh0g3sk7u8j7y6h8ptapur41hzvfv.png)