To calculate the work done by the person while pushing the box, you can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- Work is measured in joules (J)
- Force is measured in newtons (N)
- Distance is measured in meters (m)
- \(\theta\) is the angle between the force and the direction of motion (which is 0 degrees if the force is applied in the direction of motion)
In this case, the person applies a force of 400 newtons for a distance of 4 meters, and the force is applied in the same direction as the motion (so \(\cos(0^\circ) = 1\)).
Substituting the values:
\[ \text{Work} = 400 , \text{N} \times 4 , \text{m} \times 1 = 1600 , \text{J} \]
Therefore, the work done by the person is 1,600 joules.
The correct response is 1,600 joules.