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Question

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
2F
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B
F2
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C
F4
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D
4F
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Solution

The correct option is C F4
The gravitational force, F between two bodies, m1 and m2 seperated by distance d is given by,
F=G m1m2d2, where G is the gravitational constant.

So, when the masses are halved, the new gravitaional force, Fnew becomes :
Fnew=G m12m22d2
Fnew=G m1m24d2 Fnew=F4.

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