If the moon attracts the earth, why does the earth not move towards the moon?
The moon attracts the earth with the same gravitational force as the earth attracts the moon.
But the mass of earth is much larger than the mass of the moon.
We know that,
Force = Mass × Acceleration.
Acceleration = Force/Mass
Since the mass of earth is very large, the acceleration produced is negligible.
Therefore, the earth does not move towards the moon.