The work done on an object is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- Force is the weight of the object (in newtons),
- Distance is how far the object is moved (in meters),
- \( \theta \) is the angle between the force and the direction of motion.
In this case, since the box is being raised vertically and the force (weight) is acting vertically, \( \theta = 0 \) degrees. Therefore, \( \cos(0) = 1 \).
Using the values provided:
- Force = 50 newtons
- Distance = 0.5 meters
Now we can calculate the work done:
\[ \text{Work} = 50 , \text{N} \times 0.5 , \text{m} \times 1 = 25 , \text{joules} \]
So, the person does 25 joules of work in this action.
The correct response is 25 joules.