Calculating Gravitational Force Between Earth and Moon
Now, if we want to find the acceleration due to this force, we can use the formula a = F/m, where a is the acceleration, F is the force, and m is the mass of the body experiencing the force. In this case, the Moon's acceleration towards Earth is a = 1.98 * 10^20 N / 7.3*10^22 kg = 2.72 m/s^2. This acceleration is what keeps the Moon in a stable orbit around Earth.
Note: These calculations assume that Earth and Moon are point masses. In reality, they have finite sizes and the force varies throughout the objects. To account for this, one can use the distance between their surfaces instead of centers. Also, the simplest model assumes no other objects affecting the Earth-Moon system, which is not the case in real life.
I hope this helps you understand the gravitational force between Earth and Moon. Keep looking up!
