Question

The gravitational force between two objects is F. If the masses of both objects are doubled and the distance between them is also doubled, then the gravitational force would become__________ *

None of these

F/2

2F​

Answer 1

Answer:

If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. 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.

Answer 2

Answer:

F=

R

2

GMm

(i)

If one mass say, m is doubled, then force is

F

′

=

R

2

2GMm

=2F the force gets doubled.

(ii)

If the distance is doubled and tripled-

F

′

=

(2R)

2

2GMm

=

4

F

and,

F

′

=

(3R)

2

2GMm

=

9

F

(iii)

If both masses are doubled, then force is

F

′

=

R

2

4GMm

=4F the force gets quadrupled.

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