Taking into account the Universal Law of Gravitation, the force of gravity between them is quadrupled the mass of both of the objects is doubled.
Universal Law of Gravitation
The Universal Law of Gravitation establishes that bodies, by the simple fact of having mass, experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
- G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm{2} }{kg^{2} }[/tex].
- M and m are the masses of the bodies that interact.
- d is the distance that separates them.
Gravitational force when mass of the objects is doubled
Since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force. So as the mass of either object increases, the force of gravitational attraction between them also increases.
In this case, the mass of the objects is doubled. Then, the force of gravity between them is quadrupled.
In summary, the force of gravity between them is quadrupled the mass of both of the objects is doubled.
Learn more about the Universal Law of Gravitation:
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