Question

if the mass of two object is doubled and the distance between the object is doubled calculate the new force of attraction

Answer 1

We know that

F=G×m₁×m₂÷r²

If the mass and the distance is doubled, the masses will become 2m₁ and 2m₂ and distance will become 2r. Let this new force of attraction between f.

f=G×2m₁×2m₂÷(2r)²

f=G×4×m₁×m₂÷4r²

f=4(G×m₁×m₂)÷4r²

f=G×m₁×m₂÷r²

Hence there is no change in the new force of attraction. Hope it helps. Please mark as brainliest :)..

However ,if we were asked to calculate them seperately we get==>

Newtons' law for Gravitational force  F = G M1 M2 / d²

     M1 and M2 are masses of two bodies and d is the distance between them.

1) As Force is directly proportional to the mass of each object, the force will be doubled.

2)  d is doubled,  Force will become 1/4th  as Force is inversely proportional to the square of distance.