Question

Gravitational force between two objects are 49Newton . How much distance between the objects will decrease so that the force between them becomes double?​

Answer 1

Explanation:

F = 49 = GmM/r^2 .....(1)

New force = 98 = GmM/R^2 .....(2)

(2)/(1) = R^2/r^2 = 1/2

R/r = 1/√2

r = √2R

So , R - r = r/√2 - r

= r[ (1/√2) -1 ]

= r[(1/1.414)-1]

= -0.29r