Answer:
36 times larger
Explanation:
If the magnitude of the force is decreased by 6, we can replace d by d/6 in the initial equation, so
[tex]\begin{gathered} F_g=\frac{Gm_1m_2}{d^2} \\ F_g=\frac{Gm_1m_2}{(\frac{d}{6})^2}=\frac{Gm_1m_2}{\frac{d^2}{36}}=36\frac{Gm_1m_2}{d^2} \end{gathered}[/tex]
So, when we replace d by d/6, we get that the same expression of the force is now multiplied by 36. It means that the force will increase by 36.
Therefore, the answer is:
36 times larger
