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.
<h3>How can the magnitude of gravitational force be determined?</h3>
The magnitude of gravitational force can be determined from the formula of Newton's law of universal gravitation.
The formula is as follows:
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: brainly.com/question/11359658