Question

force of attraction between two bodies is 20 and calculate the force between them when mass of each body as well as the distance between them are helved ​

Answer 1

Answer:

20 N

Explanation:

Gravitational force (F) between two bodies of masses m₁ and m₂ separated by distance "d" is given as

• F = GMm/d²

Where "G" is universal gravitation constant.

So,

• F ∝ Mm/d²

From above,

F₂/F₁ = (M₂/M₁) × (m₂/m₁) × (d₁/d₂)²

F₂ = F₁ × (M₂/M₁) × (m₂/m₁) × (d₁/d₂)²

F₂ = 20 N × [(M₁/2)/M₁] × [(m₁/2)/m₁] × [d₁/(d₁/2)]²

F₂ = 20 N × ½ × ½ × 4

F₂ = 20 N × 1

F₂ = 20 N