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If the moon attracts the earth, why does...

If the moon attracts the earth, why does the earth not move towards the moon?

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The force exerted by the earth on moon is used in used changing the path of moon from straight line to circular path. The moon attracts the earth with the same force. But the earth is too heavy to move towards the moon. Rather, we can show that distance moved by earth towards the moon is so small that it cannot be detected.
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