Question

# Two buckets of sand exert a gravitational force of 18 nanoNetwons on each other when their centers are separated by a distance of d.How much force do they exert on each other when they are separated by a distance of 3d?

A
2 nanoNewtons
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B
6 nanoNewtons
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C
9 nanoNewtons
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D
54 nanoNewtons
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E
We need to know the masses of the sand buckets to answer this question
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Solution

## The correct option is A 2 nanoNewtonsThe gravitational force exerted by two masses on each other separated by distance d is given by F=GMmd2Hence F′F=d2d′2=d2(3d)2=19⟹F′=2nN

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