Question

The gravitational force between two objects is F. If the masses of both the objects are halved, keeping the distance between them the same, then the gravitational force would become:
(A) 1/2 F
(B) 1/4 F
(C) 2 F
(D) 4 F

Answer 1

Answer:

option b is also right answer

Answer 2

Dear Student,

◆ Answer -

(B) 1/4 F

● Explanation -

Gravitational force acting on the bodies is given by -

F = Gm₁m₂ / r²

When masses of both objects are halved i.e. m₁' = m₁/2 and m₂' = m₂/2

F' = Gm₁'m₂' / r²

F' = G(m₁/2)(m₂/2) / r²

F' = Gm₁m₂ / 4r²

F' = (Gm₁m₂/r²) / 4

F' = F/4

Therefore, gravitational force now becomes F/4.

Thanks dear..