The gravitational force produced between any two objects kept at 2.5*10^km apart is 580N. at what distance
should they be kept so that the gravitational force becomes
half?

The two objects should be kept at a distance of kilometers.

Explanation:

From Newton's Law of Gravitation, gravitational force (), measured in newtons, between two objects is inversely proportional to the square of distance (), measured in meters. That is:

(1)

(2)

Where is the proportionality ratio, measured in newtons-square meter.

Now we eliminate the proportionality by constructing the following relationship:

(3)

If we know that and , then the distance between the two objects so that gravitational force becomes half is:

The two objects should be kept at a distance of kilometers.

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