Question

the gavitational force between two objects is F. If mass of both the abjects are halved, without changing the distane the distance between them, what will be the change in the gravitation force??

Answer 1

Explanation:

The force of gravitational attraction between the two bodies of mass (M) and (m) is F=G

r

2

Mm

.

Now, If masses of both objects are halved without changing distance between them or M=

2

M

and m=

2

m

Now, F=G

4r

2

Mm

.

Thus, force becomes one-fourth as we reduce the masses to half without altering the distances.