Question

As the masses of two objects increase, how does the gravitational force between the two bodies change?

Answer 1

Answer

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases.

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Answer 2

Answer:

Since the gravitational force is directly proportional to the product of the masses, the more mass two objects have, the greater will be  the force of gravity between them.

Explanation:

The force of gravity is the physical force exerted by the mass of a planet on the objects that are within its gravitational field. In other words, this law establishes that bodies, by simply having mass, experience a force of attraction to other bodies with mass.

The force of gravity depends on the mass of each object. The force with which two objects are attracted is proportional to their mass and decreases rapidly with distance:

F=$G*\frac{M*m}{r^{2} }$

where G is the universal gravitation constant, whose value is  6,674 × 10−⁻¹¹ N·m²/kg².

This expression indicates that the gravitational force that a point mass M exerts on another point mass m that is at a distance r from the previous one is directly proportional to the product of the masses and inversely proportional to the square of the distances that separates them.

So since the gravitational force is directly proportional to the product of the masses, the more mass two objects have, the greater will be  the force of gravity between them. Then, for example, if one of the masses is doubled, keeping the distance between them, the force of gravity between the objects will double.