Final answer:
You have done 465 joules of work by pushing a sofa with a force of 150 N across a distance of 3.1 meters.
Step-by-step explanation:
When you push a sofa using a force of 150 N across a distance of 3.1 meters, you are doing mechanical work. Work is defined as a force causing the movement—or displacement—of an object. In the SI system, work is measured in joules (J), and the formula for work is:
Work = Force × Distance
In this case, the force is 150 N, and the distance is 3.1 m, so the work done by you can be calculated as follows:
Work = 150 N × 3.1 m = 465 J
Therefore, you have done 465 joules of work while moving the sofa.