Given
Mass of one of the object is doubled and the distance between the object is doubled.
To find
What happens to the gravitational force
Explanation
The gravitational force is directly proportional to the masses and inversely proportional to the distance between them
Keeping all other parameters constant,
[tex]F\propto\frac{m}{d^2}[/tex]
So when the mass doubles and the distance doubles we have,
[tex]\begin{gathered} F^{\prime}\propto\frac{2m}{(2d)^2} \\ \Rightarrow F\propto\frac{m}{2d}=\frac{F}{2} \end{gathered}[/tex]
Conclusion
A. The gravitational force becomes half as great.
