What happens to the magnitude of the force of gravitation between two objects, if

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(i)
According to universal law of gravitation, the force between 2 objects $(m_{1}$ and $m_{2}$ ) is proportional to their plenty and reciprocally proportional to the sq. of the distance(R) between them.
$F = \frac{( G 2 m _{1} m _{2} )}{R ^{2}}$
If the mass is doubled for one object. $F = 2 F$ , so force is also doubled.(ii)If the distance between the objects is doubled and tripled If it's doubledHence,

$F F = (Gm_{1} m_{2}) / (2 R)^{2} = (Gm_{1} m_{2}) /4 R^{2} = F /4$

F = F /4

hence force thus becomes one-fourth of its initial force.Now, if it's tripledHence,

$F = (Gm_{1} m_{2}) / (3 R)^{2} F = (Gm_{1} m_{2}) /9 R^{2}$

F = F /9

hence, force becomes one-ninth of its initial force.(iii)If masses of both the objects are doubled, then

$F = \frac{( G 2 m _{1} 2 m _{2} )}{R ^{2}}$

F = 4 F

, Force will therefore be four times greater than its actual value.

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