Why does the moon not falls towards Earth, but also does not move away from it?

The Solar System
9th Edition
ISBN:9781305804562
Author:Seeds
Publisher:Seeds
Chapter10: Origin Of The Solar System And Extrasolar Planets
Section: Chapter Questions
Problem 22RQ
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Why does the moon not falls towards Earth, but also does not move away from it?
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Physics homework question answer, step 1, image 1

The gravitational force is depends on the masses of the objects and distance between them and also it is perpendicular to the velocity of the moon, which leads the motion of the moon in a stable orbit.

In our case, the system formed can be compared to mass of the string which attached to the string rotated in the circular motion, the tension acts on the string compared to the force of gravitation between the earth and moon.

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