Question

the mass of both objects are doubled and the distance between the objects is four times greater then gravitational force will be ............

Answer 1

F1 = GMm/R^2.........(1)
F2 =G(2M)(2m)/(4R)^2.........(2)
dividing eqation 2by 1
we get
F2/F1= 1/4

Answer 2

let the mass of an object be m1

mass of another object is m2

Distance between them is d

Then

F1 = G×m1×m2/d^2

It take equation 1st

again ,

If both object have mass doubled

and distance is four times

Then

F2= G×2m1×2m2/(4d^2)

It take equation 2nd

From equation 1st divided by

equation 2nd

We find

F2 = F1/4