Answer: The gravitational force when the masses are doubled is 400 N
Step-by-step explanation:
To calculate the gravitational forces, we use the equation:
![F=(Gm_1m_2)/(r^2)](https://img.qammunity.org/2019/formulas/physics/middle-school/bzeyjx3yq2l5lvjayrqlwyodl7sj42qyh1.png)
Where,
F = gravitational force
G = Universal gravitational constant
= mass of object 1
= mass of object 2
r = distance between the objects
When F = 100 N, the equation becomes:
![F_1=(Gm_1m_2)/(r^2)=100N](https://img.qammunity.org/2019/formulas/physics/middle-school/bolacjwdn3csgtklmkbzzyvuouqbkepi3e.png)
When the masses of bot the objects are doubles, the equation becomes:
![F_2=(G(2m_1)(2m_2))/(r^2)=4(Gm_1m_2)/(r^2)=4* (100)=400N](https://img.qammunity.org/2019/formulas/physics/middle-school/bh77eicrzdhyps8rwpcelo5e5odsg57u23.png)
Hence, the gravitational force when the masses are doubled is 400 N