Do I exert a force on the moon?

[KingAlexander211B]

Hey, I was wondering. If the Earth exerts a force on the moon and the moon exerts an equal but opposite force on the Earth (Newton's third Law of motion), do I also exert a force on the moon since I also have mass and therefore, the moon would exert a force on me (equal, but opposite).

Also about the third law. The forces I've mentioned are equal in magnitude, but opposite in direction. The acceleration and mass of the bodies (earth and moon) are different, but when they are multiplied they give the same force magnitude (F=ma). In the case of the moon and the earth, what are the accelerations? Are they the acceleration due to their rotation?

Thank you very much for reading my question.

 

[Chestermiller]

Sure you exert a force on the moon and it exerts an equal but opposite force on you. For the earth-moon system, the direction of their accelerations (neglecting other forces acting on them) are in the direction of the line drawn between their centers, and the accelerations are primarily centripetal.

 

[CWatters]

Also about the third law. The forces I've mentioned are equal in magnitude, but opposite in direction. The acceleration and mass of the bodies (earth and moon) are different, but when they are multiplied they give the same force magnitude (F=ma). In the case of the moon and the earth, what are the accelerations? Are they the acceleration due to their rotation?

Thank you very much for reading my question.

The force acting between two masses is given by

F=GMm/r²

Where M and m are the two masses, G is the gravitational constant and r is the separation.

You can work out the acceleration of either body by dividing the force by M or m. For example the acceleration of m is =GM/r² and the acceleration of M is =Gm/r².