Consider two planets in space that gravitationally attract each other. If the masses of both planets are doubled, and the distance between them is also doubled, then the force between them is

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05-07-2022
Physics

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Consider two planets in space that gravitationally attract each other. If the masses of both planets are doubled, and the distance between them is also doubled, then the force between them is

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tutorconsortium301 tutorconsortium301 · Answer 1 · 2022-07-13T01:06:41-04:00

The force between the planets will not change after doubling the masses of the planets and distance between them.

To find the answer, we need to know about the gravitational force of attraction.

What's the gravitational force attraction?

According to Newton's gravitational law, the force between two objects is directly proportional to the product of their masses and inversely propertional to the square of the distance between them.
Mathematically, Gravitational force= GMm/r². G is the gravitational constant.

What is the gravitational force between two planets when their masses and distance between them are doubled?

Then masses are 2M and 2m. Distance is 2r.
So gravitational force= G×2M×2m/(2r)²

= GMm/r²

Thus, we can conclude that the gravitational force will not change of the masses are doubled and the separation is also doubled between the planets.

Learn more about the gravitational force here:

brainly.com/question/72250

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What's the gravitational force attraction?

What is the gravitational force between two planets when their masses and distance between them are doubled?

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