The gravitational force between two object is 49 Newton . How much distance these objects be decreased so that the force between them becomes double ?
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F = k.(1/d^2)
let in the first case the distance is d1
therefore 49 N = k/(d1^2)
in the next situation, force is doubled
therefore 2.49 N = k/(d2^2)
taking a ratio 2 = {d1/d2}^2 therefore d1/d2 = sqrt (2) or
d2 = d1/sqrt(2) = 1/2 of sqrt(2).d1
the distance must be reduced to say approximately to 0.7o5.d1
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