Gravity and Inertia

Gravity is the force that attracts objects with mass towards each other. In the case of the Earth and the Moon, both have mass and therefore exert gravitational force on each other. This gravitational force is what keeps the Moon in orbit around the Earth.

Centripetal Force

The Moon's motion around the Earth is due to the centripetal force acting on it. This force is directed towards the center of the Earth and keeps the Moon moving in its orbit. If this force were to suddenly disappear, the Moon would move in a straight line away from the Earth.

Balance of Forces

While it is true that the Moon's gravitational pull affects the Earth, the Earth's much larger mass results in a stronger gravitational pull on the Moon. This balance of forces keeps the Moon in its orbit and prevents the Earth from moving towards the Moon.

Conservation of Momentum

Additionally, the Earth and the Moon have their own momentum due to their respective masses and velocities. This momentum keeps them moving in their orbits and prevents them from suddenly moving towards each other.

In conclusion, the Earth does not move towards the Moon because of the balance of gravitational forces, the centripetal force keeping the Moon in its orbit, and the conservation of momentum of both celestial bodies. These factors work together to maintain the Earth-Moon system in a stable orbit configuration.

Moon attracts the earth but earth doesn't move towards earth because-
mass of earth is much greater then mass of moon.as we know mass is inversely proportional to acceleration I. e more the mass less will be the acceleration and so earth doesn't move