what happened to the gravitational force between two object of masses of both infect are doubled and distance between them is also doubled
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The gravitational force will remain same
Solution
Let m1 and m2 be a present masses , r1 be a distance between them and F1 be force of attraction between that two objects
Then gravitational force become
F1=Gm1.m2/r^2
In second case let M1 and M2 be mass of a objects when it gets double and R be distance and force between them is F2
Then F2=GM1.M2/R^2
Since
M1=2m1
M2=2m2
R=2r then
F2=G2m1.2m2/(2r)^2
F2=4Gm1.m2/4r^2
F2= Gm1.m2/r^2
F1 =F2
I hope it will help
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