Work is defined as the product of force and the distance over which that force is applied, in the direction of the force. The formula for work is:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where \( \theta \) is the angle between the force and the direction of motion.
In this case, the person pushes against the wall with a force of 500 newtons, but the wall does not move (the distance is 0). Since work is only done when there is movement in the direction of the force, we can calculate the work done:
\[ \text{Distance} = 0 , \text{meters} \]
Therefore, the work done by the person is:
\[ \text{Work} = 500 , \text{N} \times 0 , \text{m} = 0 , \text{joules} \]
The correct response is:
0 joules