A person gets a running start toward a wall from 5 meters away. The person pushes the wall with a force of 500 newtons, but the wall does not move. How much work is done by the person?(1 point) Responses 0 joules 0 joules 0.01 joule 0.01 joule 2,500 joules 2,500 joules 100 joules

1 answer

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