When the masses are doubled and the separation is halved, what effect do they have on the gravitational force between the masses?
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It will be 16 times the original gravitational force
F=GMm/R^2
F*=GM*m*/R*^2
F*=G×2M×2m/(R÷2)^2
F*=16×GMm/R^2
F*=16×F
Hence proved
F=GMm/R^2
F*=GM*m*/R*^2
F*=G×2M×2m/(R÷2)^2
F*=16×GMm/R^2
F*=16×F
Hence proved
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