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How would the gravitational force between the Earth and Moon change if the distance between them was halved?
The gravitation force would be nullified; there would no longer be a gravitational force between the Earth and Moon
The gravitational force would be stronger The gravitational force would not change
The gravitational force would be weaker​

Respuesta :

Answer:

The gravitational force would be stronger.

Explanation:

Force of gravitation increases by 4 times when distance reduced by half.

When the distance between them was halved, the gravitation force would be stronger.

The gravitational force between two objects in the universe is determined using Coulomb's law which states that the force of attraction between two objects in the universe is directly proportional to the product of masses of the objects and inversely proportional to the distance between them.

[tex]F = \frac{Gm_1 m_2 }{R^2}[/tex]

where;

R is the distance between the two objects

when the distance is halved, the gravitational force becomes

[tex]F = \frac{Gm_1 m_2}{(\frac{1}{2} R)^2} \\\\F = \frac{Gm_1 m_2 }{\frac{1}{4} R^2} \\\\F = \frac{4Gm_1m_2}{R^2} \\\\F = 4 \times \frac{Gm_1 m_2 }{R^2}[/tex]

Thus, we can conclude that when the distance between them was halved, the gravitation force would be stronger.

Learn more about gravitation force here: https://brainly.com/question/17301500