The correct answer is option 1: 4 N moves an object by 25 cm.

Work is defined as the amount of energy transferred by a force acting on an object as it moves through a certain distance. The unit used to measure work is the Joule (J).

In this question, we are given different forces and corresponding distances. To calculate work, we need to multiply the force applied with the distance moved in the direction of the force.

Let`s analyze each option to see if it matches the definition of work:

Option 1: 4 N moves an object by 25 cm.

This option matches the definition of work. Work = force x distance = 4 N x 25 cm = 100 J.

Option 2: 2 N moves an object by 1 m.

This option does not match the definition of work. The force applied is 2 N, but the distance moved is in meters. We need to convert the distance to centimeters to calculate work. 1 m is equal to 100 cm. Thus, work = 2 N x 100 cm = 200 J.

Option 3: 1 N moves an object by 1 cm.

This option does not match the definition of work either.