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Eduard22sly

The force of gravity between them given the data from the question, would decrease by a factor of 4

Newton's law of gravity

F = GM₁M₂ / r²

Where

  • F is the force
  • G is the gravitational constant
  • M₁ and M₂ are the masses of the objects
  • r is the distance apart

Data obtained from the question

  • Initial distance apart (r₁) =  r
  • Initial force (F₁) = F
  • Final distance apart (r₂) = 2r
  • Final force (F₂) =?

How to determine the final force

F = GM₁M₂ / r²

Cross multiply

Fr² = GM₁M₂

GM₁M₂ = constant

F₁r₁² = F₂r₂²

With the above formula, we can obtain the final force as follow:

F₁r₁² = F₂r₂²

F × r² = F₂ × (2r)²

Fr² = F₂ × 4r²

Divide both side by 4r²

F₂ = Fr² / 4r²

F₂ = F / 4

Thus, we can conclude that the final force will decrease by a factor of 4

Learn more about Newton's Law of gravity:

https://brainly.com/question/3681346

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