Work is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- \(\text{Force}\) is the weight of the object (in newtons),
- \(\text{Distance}\) is how far the object is moved (in meters),
- \(\theta\) is the angle between the force and the direction of movement.
In this case, the force exerted to lift the box is equal to its weight (50 newtons), and the distance it is raised is 0.5 meters. The angle \(\theta\) is 0 degrees since the force and movement are in the same direction (upward).
\[ \cos(0) = 1 \]
Now, substituting the values into the formula:
\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 \]
\[ \text{Work} = 50 \times 0.5 = 25 , \text{joules} \]
Therefore, the person does 25 joules of work in this action. The correct response is 25 joules.