Question

The gravitational force between two objects has a magnitude of F. If both masses were doubled and the distance between them doubled, the new force would have what magnitudes?

Answer 1

F' = F

Step-by-step explanation:

The gravitational force of attraction between two objects can be given by Newton's Gravitational Law as follows:

`F = (Gm_1m_2)/(r^2)`

where,

F = Force of attraction

G = Universal gravitational costant

m₁ = mass of first object

m₂ = mass of second object

r = distance between objects

Now, if the masses and the distance between them is doubled:

`F' = (G(2m_1)(2m_2))/((2r)^2)\\\\F' = (Gm_1m_2)/(r^2)`

F' = F