Question

the gravitational force of attraction between two objects is 64 N. If the masses of both the objects are doubled without changing the distance between them, calculate the new force of attraction between the two objects. ​

Answer 1

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.