Answer:
The magnitude of the attractive force is unchanged
Explanation:
Newton's Law of Universal Gravitation: The law states that the force of attraction between two mass m₁ and m₂ is directly proportional to the product of the masses and inversely proportional to the square of the distance (d) between them.
Mathematically it is represented as
F = Gm₁m₂/d₂ ............................. Equation 1
Where G = universal Constant, F = Force of attraction or repulsion, m₁ = mass of the first body, m₂ = mass of the second body, d = distance between the masses.
When both masses and the separation of the ball are doubled,
I.e
Fₙ = G(2m₁)(2m₂)/(2d)²
Where Fₙ = the new gravitational force, when both masses and distance are separation are doubled.
Fₙ = 4Gm₁m₂/4d²
Fₙ = Gm₁m₂/d²........................... Equation 2
Comparing Equation 1 and equation 2,
Fₙ = F
Therefore the magnitude of the attractive force between the balls when their masses and separation are doubled remains the same.
I.e The magnitude of the attractive force is unchanged,
