Question

why does earth not travel towards the moon if moon attract the earth

Answer 1

earth does not travel towards the moon if moon atreact the earth because mass of earth is very less as compared to earth .
hope it helps
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Answer 2

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

Good Question!

As we know that both moon and Earth attracts each other. But moon will never be able to attract Earth.

This is because both the bodies are attracting each other in a circular path but Earth has more mass than Moon. If you are aware of Centrifugal force then it can be defined as when an "object" moves through a "circular path" then its acceleration is perpendicular to velocity and pointing toward "center".

Here, Center is Earth and moving object is moon. [ ignore that earth is also moving, for sometime ]

Therefore, moon keeps on rotating around earth without attracting Earth towards its.

For instance, take a ball tied to string and rotate it. The ball will rotate and holding point are your hands.

Hope it helps