How does the force of gravitation between two objects

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Question 1 How does the force of gravitation between two objects change when the distance between them is reduced to half?

Class 9 - Science - Gravitation Page 143

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According to Universal Law of gravitation, the gravitational force of attraction between any two objects of masses M and m be

F = G×M×m / r²
And r be the distance between two masses

If the distance between them is halved, then new distance
r¹ = r/2

New force F¹ = G×M×m / (r¹)²
                 F¹ = G×M×m / (r/2)²
                 F¹ = 4 [G×M×m / r²]
                 F¹ = 4F

When the distance between the masses is reduced to half, the gravitational force increases by 4 times than the original one. 

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