To calculate the work done in raising the box, you can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this case, the force applied is equal to the weight of the box (50 newtons) and the distance moved is 0.5 meters. Since the box is being raised vertically, the angle \(\theta\) is 0 degrees, and \(\cos(0) = 1\).
Now, substituting in the values:
\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 \]
\[ \text{Work} = 25 , \text{Joules} \]
Therefore, the work done by the person in raising the box is 25 joules.