Question
What will happen to the gravitational force of attraction between two objects if the mass of each is doubled and the distance between them is also doubled?

Answer

We know that law of gravitation.
$F = G ( m_1Xm_2)/R^2.$
Now $m_1 = 2 m_1$
$m_2 = 2 m_2$
$R = 2 R$
$F_1 = G ( 2m_1 X2 m_2)/4R^2.$
$F_1 = F$
So force between them remains same.

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