A person pushes a box. He applies a force of 400 newtons, and he pushes the box for a distance of 4 meters. After he stops pushing, the box slides forward another meter. How much work was done by the person?(1 point)
Work is defined as the force applied to an object multiplied by the distance the object moved in the direction of the force.
In this case, the person applied a force of 400 newtons and pushed the box for a distance of 4 meters. Therefore, the work done by the person while pushing the box is:
Work = Force × Distance
Work = 400 N × 4 m
Work = 1600 N·m
Since the box also slides forward another meter after the person stops pushing, we need to calculate the work done during that additional movement.
The force applied during this distance is zero since the person has stopped pushing. Therefore, the work done when the box slides forward by 1 meter is:
Work = Force × Distance
Work = 0 N × 1 m
Work = 0 N·m
Adding the work done while pushing the box to the work done when it slides forward, we get:
Total Work = Work while pushing + Work when sliding forward
Total Work = 1600 N·m + 0 N·m
Total Work = 1600 N·m
Therefore, the person has done a total of 1600 N·m of work.