Question

The gravitational force between two masses is 75 N. If the masses are doubled and the distance between them is made one third, find the new gravitational force.

Answer 1

Explanation:

Solution

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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.