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Two objects move toward each other because of gravitational attraction. As the objects get closer and closer, the force between them _____. A. remains constant B. decreases C. increases

Respuesta :

Answer:

C. increases

Explanation:

Law of Universal Gravitation

This law establishes that bodies, by simply having mass, experience a force of attraction to other bodies with mass, called gravitational force or gravitational force.

The gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.

[tex]F_{g} =G(\frac{M*m}{r^{2} } )[/tex] Formula (1)

where:

G is the universal gravitation constant, G = 6.67 · 10-11 N · m² / kg²

M and m are the masses of the bodies that interact  (kg)

r is the distance that separates them. (m)

Problem development

As objects get closer and closer the distance (r) that separates them decreases and because M, m and G remain constant, in formula (1):

[tex]F_{g} =G(\frac{M*m}{r^{2} } )[/tex]

, if r decreases then Fg increases.

As 2 objects get closer and closer due to the gravitational attraction, the force between them C. increases.

Two objects move toward each other because of gravitational attraction. To understand the gravitational force, we need to consider Newton's law of universal gravitation, which states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically,

[tex]F = G \frac{m_1m_2}{r^{2} }[/tex]

where,

  • F: gravitational force
  • G: gravitational constant
  • m₁: mass of object 1
  • m₂: mass of object 2
  • r: distance between centers of the masses

As the objects get closer, the distance between them decreases, and consequently the gravitational force increases.

As 2 objects get closer and closer due to the gravitational attraction, the force between them C. increases.

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