At a distance R from the center of the Earth, gravity F acts on the body.

At a distance R from the center of the Earth, gravity F acts on the body. What is the force of gravity acting at a distance of 3R from the center of the Earth?

Decision:
1) Let’s write a formula that illustrates how gravity pulls something to the Earth.
F = GMm / R ^ 2.
2) We take into account that the force of gravity has an inverse relationship to distance.
3) Let’s increase the distance 3 times and see what happens.
F1 = GMm / (3R) ^ 2 = GMm / 9R ^ 2.
Let’s make a replacement using the above formula and get:
F1 = GMm / 9R ^ 2 = F / 9.
This means that the force of attraction will decrease by 9 times with an increase in the distance by 2 times.
Answer: F / 9