Question

The gravitational force between two objects is 100 N. How should the distance between these objects be changed so that the Force between them becomes 50 N?

Answer 1

Gravitational force (F) is inversely proportional to square of separation (d) between objects

F ∝ 1 / d²

F₁ / F₂ = (d₂ / d₁)²
d₂ = d₁ × √(F₁ / F₂)
d₂ = d₁ × √(100 / 50)
d₂ = 1.414d₁

Δd = 0.414

Distance between the objects should be increased by 0.414 m