Question

How does the force of gravitation between two objects change
when the distance between them is reduced to half?
Sussy brain

Answer 1

Answer:

The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half

Answer 2

Answer:

The force of gravitation between the objects will increase 4 times.

Explanation:

The universal law of gravitation states that the force of attraction between two objects will be directly proportional to the product of their masses (m₁ & m₂) and inversely proportional to the square of the distance (r) between them. The mathematical expression of this law is;

                   F ∝ m₁m₂ / r²

If G is the universal gravitational constant,

F = G(m₁m₂) / r²

When the distance between the objects is reduced to half then, r= r/2.

⇒ F = G(m₁m₂) / (r/2)²

   F = 4 × [G(m₁m₂) / r²]

The above equation shows that the force is increased by 4 times when the distance is reduced to half.