Question

The earth has about 80 times the mass of the earth’s moon. the gravitational force exerted on the moon by the earth has what relation to the gravitational force exerted on the earth by the moon?

Answer 1

The gravitational forces between two objects are always equal
and in opposite directions.

The gravitational force exerted on the moon by the earth is equal to
the gravitational force exerted on the earth by the moon.

Your weight on the Earth is equal to the Earth's weight on you.

Answer 2

the gravitational force exerted on the moon by the earth is the same as the gravitational force exerted on the earth by the moon

Step-by-step explanation:

The force that an object exerts on the other is the same for both objects. This is due to Newton's third law:

`F_(12) = -F_(21)`

The force of object 1 on object 2 is equal to the force of object 2 on object 1, but in the opposite direction, hence the negative sign.

In this case the object 1 is the earth and the object 2 is the moon, and the gravitational force that one exerts on the other has the same magnitude.