The gravitational force between two objects is F. If both of their masses are halved without altering the distance between them, the new gravitational force between them would be:
A
F4
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B
2F
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C
F2
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D
4F
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Solution
The correct option is AF4 The gravitational force, F between two bodies, m1 and m2 seperated by distance d is given by, F=Gm1m2d2, where G is the gravitational constant.
So, when the masses are halved, the new gravitaional force, Fnew becomes : Fnew=Gm12m22d2 ⟹Fnew=Gm1m24d2