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What happens to the gravitational force between two objects, If both masses are doubled?

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Doubled

\frac{1}{9}

times

One-fourth

Four times

answer is D.

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Detailed Solution

The gravitattional force between two objects become four times when both masses are doubled.
The force of gravitation between two objects is given by

F = \frac{G m_{1} m_{2}}{r^{2}}

,where

G =

universal gravitation constant,

m_{1} =

mass of first object,

m_{2} =

mass of second object and

r =

distance between them
So, when mass of both objects are doubled, i.e.,

m_{1}

becomes

2 m_{1}

and

m_{2}

becomes

2 m_{2}

, the value of force will change as

F' = \frac{G (2 m_{1}) {(2 m}_{2})}{r^{2}}

Therefore,

F^{'} = 4 F

, so the force becomes 4 times its original value.

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