To calculate the work done (W), you can use the formula:
\[ W = F \times d \]
where:
- \( W \) is the work done in joules (J),
- \( F \) is the force applied in newtons (N),
- \( d \) is the distance moved in meters (m).
Given that Darla applied a force of 50 newtons (N) and moved the cart 100 meters (m), we can substitute these values into the formula:
\[ W = 50 , \text{N} \times 100 , \text{m} = 5000 , \text{J} \]
Therefore, the answer is:
a) 5000 J