What is the change in the gravitational force between 2objects if their masses are twice of the original masses and distance is also twice of the original distance
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Gravitational force (F) is given as
F = GMm / d²
F₂ / F₁ = (M₂ / M₁) × (m₂ / m₁) × (d₁ / d₂)²
F₂ = F₁ × (M₂ / M₁) × (m₂ / m₁) × (d₁ / d₂)²
= F₁ × (2M₁ / M₁) × (2m₁ / m₁) × (d₁ / (2d₁))²
= F₁ × 4 / 4
= F₁
Change in force = F₂ - F₁ = F₁ - F₁ = 0
∴ There is no change in gravitational force between objects.
F = GMm / d²
F₂ / F₁ = (M₂ / M₁) × (m₂ / m₁) × (d₁ / d₂)²
F₂ = F₁ × (M₂ / M₁) × (m₂ / m₁) × (d₁ / d₂)²
= F₁ × (2M₁ / M₁) × (2m₁ / m₁) × (d₁ / (2d₁))²
= F₁ × 4 / 4
= F₁
Change in force = F₂ - F₁ = F₁ - F₁ = 0
∴ There is no change in gravitational force between objects.
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