Answer:
D) The new force will be sixteen times greater than the original
Explanation:
The law of universal gravitation predicts that the force exerted between two bodies is equal to the product of their masses and inversely proportional to the square of the distance, that is, the more massive the bodies are and the closer they are, the stronger they will attract . In this case we have:
[tex]F_0\sim \frac{1}{d^2}\\ F\sim \frac{1}{(\frac{1}{4}d)^2}\\F\sim \frac{1}{\frac{1}{16}d^2}\\F\sim 16\frac{1}{d^2}\\F\sim 16F_0[/tex]
