To determine the work done by the person when pushing against the wall, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- \(\text{Force}\) is the force applied (in this case, 500 newtons),
- \(\text{Distance}\) is the distance over which the force is applied,
- \(\theta\) is the angle between the force and the displacement vector.
In this scenario, the wall does not move at all, meaning the distance moved by the force is 0 meters. Therefore, the work done is:
\[ \text{Work} = 500 , \text{N} \times 0 , \text{m} \times \cos(0) = 0 , \text{joules} \]
Since there is no movement, no work is done by the person. Thus, the correct response is:
0 joules