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Select the correct answer. Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two objects is reduced in half, what will be the changed force of attraction between them? A. 2.5 newtons B. 10 newtons C. 15 newtons D. 20 newtons E. 25 newtons

Respuesta :

hamzaahmeds

This question involves the concept of Newton's Law of Gravitation.

The force of attraction will be changed to "D. 20 Newtons".

What is Newton's Law of Gravitation?

According to Newton's Law of Gravitation, the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,

[tex]F=\frac{Gm_1m_2}{r^2}[/tex]

where,

  • F = force = 5 N
  • G = Gravitatational constant
  • m₁ = mass of first object
  • m₂ = mass of second object
  • r = distance between objects

Now, reducing the distance by half, we get:

[tex]F'=\frac{Gm_1m_2}{(\frac{r}{2})^2}\\\\F'=4\frac{Gm_1m_2}{r^2}\\\\F'=4F\\F'=4(5\ N)[/tex]

F' = 20 N

Learn more about Newton's Law of Gravitation here:

https://brainly.com/question/9373839

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