what is the measure of the amount of force needed to move an object a certain distance?

Isn't work force x distance.

The measure of the amount of force needed to move an object a certain distance is known as work. Work can be calculated by multiplying the force applied to an object by the distance over which the force is applied.

The formula for calculating work is:
Work = Force × Distance

The unit for work is the joule (J), which is equivalent to a force of one newton (N) applied over a distance of one meter (m).

To determine the amount of force needed to move an object a certain distance, you need to know the value of work and the distance. By rearranging the formula, you can solve for force:

Force = Work / Distance

Insert the values for work and distance into the formula, and you can find the force required to move the object.