What happens to the gravitational force between two objects when the two objects get closer together and the distance between them R is cut in half?

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

Does gravity work over infinite distance?

No. The attractive force called gravity does not extend beyond galaxy groups. As you get farther away from a gravitational body such as the sun or the earth (i.e. as your distance r increases), its gravitational effect on you weakens but never goes completely away; at least according to Newton’s law of gravity.

What happens to the gravitational force when the distance between the two objects does not change and only the mass of one object increases?

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

What would happen to the force of gravitation attraction between two objects if one mass was doubled and the distance between them tripled?

If the mass of one of the objects is doubled, then the force of gravity between them is doubled. If the mass of one of the objects is tripled, then the force of gravity between them is tripled. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

What happens to the gravitational force between two objects if?

When the mass of an object is doubled then the force between them is doubled. When the distance between the objects is doubled then force between them is one fourth. When the distance between the objects is tripled then force between them is one ninth.

What happens to the gravitational force between two objects if the distance between the objects is reduced to half?

When the distance between the two objects is halved, the gravitational force becomes four times.

Is gravity infinite energy?

No, gravity can not be used as an infinite energy source. Forces are the way that energy is transferred from one object to another when they interact, but forces are not the energy itself. Gravity is a force, so it just provides one way for objects to exchange and transform energy to different states.

What happens to the gravitational force between two objects if I the mass of one object is doubled?

If the mass is doubled for one object. F = 2F, so the force is also doubled. Force thus becomes one-fourth of its initial force.