BY Team Aakash Byju's

What Happens to the Gravitational Force Between Two Objects?

The force of attraction between any two objects with a definite mass is called ‘Gravitational force’.

 It varies directly with the masses of both objects and inversely with the square of the distance between the two objects.

The Gravitational force is expressed as :

where m1 and m2 masses of objects, r is the distance between object and g is the gravitational constant.

As the name suggest g is a constant and has a value of 6.6710-11Nm2/kg2.

Now let us see what happens to the gravitational force between two objects in different situations.

If the mass of one of the object is doubled, say for example, m1=2m1, then the gravitational force also doubles.

If the distance between two objects is double, i.e., r=2r, then the equation changes to

i.e., the force is reduced to one-fourth.

If the distance between two objects is tripled, i.e., r=3r, then the equation changes to

i.e., the force is reduced to one-ninth.

If the mass of both the objects are double, i.e., m1=2m1 and m2=2m2, then the equation becomes

Thus the force between the objects rises 4 times.

If we halve the masses of both the objects and keep them at the same distance, the force becomes

i.e., the force is reduced to one-fourth.

Hope you understood how the Gravitational force between two objects varies. Share these with your friends.