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

December 26, 2020 | education

| **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

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