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Question
If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?
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Solution
By Newton’s law of gravitation
F = `("GM"_1"M"_2)/"r"^2`
Here, the masses and mutual distance between the two objects are doubled.
F = `("G"("M"_1) (2"M"_2))/((2"r")^2) = (4"GM"_1"M"_2)/(4"r"^2)`
F = `("GM"_1"M"_2)/"r"^2`
There is no change in the gravitational force between them.
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