To calculate the work done by the person in raising the box, you can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this case, since the person is lifting the box vertically, the angle \(\theta\) is 0 degrees (which means \(\cos(0) = 1\)).
Given:
- Force (weight of the box) = 50 newtons
- Distance = 0.5 meters
Now, substituting the values into the formula:
\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 \] \[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \] \[ \text{Work} = 25 , \text{joules} \]
Therefore, the answer is:
25 joules