How many times will the force of attraction to the Earth change if the physical body is transferred to the height H = R of the Earth?

To find the change in the force of attraction of the physical body under consideration to the Earth, we use the relation: k = Fн / Fк = m * gк / (m * gн) = gк / gн = (G * M / R ^ 2) / (G * M / (R + H) ^ 2) = (R + H) ^ 2 / R ^ 2.

Values of variables: H (height of the considered physical body) = R (radius of the Earth).

Let’s perform the calculation: k = (R + H) ^ 2 / R ^ 2 = (R + R) ^ 2 / R ^ 2 = 2 ^ 2 = 4 p.

Answer: The force of attraction of the considered physical body will decrease by 4 times.



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