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As a meteor moves from a distance of 16 earth radii to a distance of 2 earth radii from the center of earth, the magnitude of the gravitational force between the meteor and earth becomes

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Based on the Newton's law of gravitation, the magnitude of the gravitational force between the meteor and earth becomes 64 times the original value.

How can the magnitude of gravitational force be determined?

The magnitude of gravitational force can be determined from the formula of Newton's law of universal gravitation.

The formula is as follows:

  • F = Gm₁m₂/r²

where

  • F is gravitational force
  • m₁ is the mass of the first object
  • m₂ is the mass of the second object
  • r is the distance of separation
  • G is gravitational constant

Since the mass of the meteor and the earth is constant, the only changing factor is radius

The force when the distance of 16 earth radii reduces to a distance of 2 earth radii from the center of earth is:

Let initial force be F₁ and final force be F₂

F₁ = F/16² = F/256

F₂ = F/2² = F/f

taking ratio of F₁ to F₂

F₂/F₁ = 256/4

F₂/F₁ = 64

Therefore, the magnitude of the gravitational force between the meteor and earth becomes 64 times the original value.

Learn more about gravitational force at: https://brainly.com/question/11359658

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