Question

what will be the change of gravitational force if the mass of body A becomes 3times and the mass of body B becomes 3times and the distance between body A and B becomes 3 times





Pls give the answer​

Answer 1

Answer:

answer is 4 times

Explanation:

Gravitational force F=

r

2

Gm

1

m

2

Case (i) : Mass of one object is doubled i.e m

1

′

=2m

1

∴ F

′

=

r

2

G(2m

1

)m

2

⟹F

′

=2F

Thus gravitational force gets also doubled

Case (ii) : Distance between the objects is doubled i.e r

′

=2r

∴ F

′

=

(2r)

2

Gm

1

m

2

⟹F

′

=

4

F

Thus gravitational force gets reduced by 4 times.

Distance between the objects is tripled i.e r

′

=3r

∴ F

′

=

(3r)

2

Gm

1

m

2

⟹F

′

=

9

F

Thus gravitational force gets reduced by 9 times.

Case (iii) : Mass of both the objects are doubled i.e m

1

′

=2m

1

and m

2

′

=2m

2

∴ F

′

=

r

2

G(2m

1

)(2m

2

)

⟹F

′

=4F

Thus gravitational force becomes 4 times.