Question
The gravitational force between two spheres is x when the distance between their centers is y. What will be the new force if the separation is made 3y?
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Answer
Since $\text{F}\propto\frac{1}{\text{r}^2}.$ Therefore, if r is increased by a factor of 3. F will be reduced by a factor of 9. Thus, the new force will be $\frac{\text{x}}{9}.$
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