To determine which scenario requires the most work, we can use the formula for work done, which is:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
We will calculate the work done in each scenario using the given force and distance values.
Scenario A:
- Force = 15 N
- Distance = 3 m
\[ \text{Work}_A = 15 , \text{N} \times 3 , \text{m} = 45 , \text{J} \]
Scenario B:
- Force = 12 N
- Distance = 4 m
\[ \text{Work}_B = 12 , \text{N} \times 4 , \text{m} = 48 , \text{J} \]
Scenario C:
- Force = 10 N
- Distance = 6 m
\[ \text{Work}_C = 10 , \text{N} \times 6 , \text{m} = 60 , \text{J} \]
Now, we can summarize the work done in each scenario:
- Scenario A: 45 J
- Scenario B: 48 J
- Scenario C: 60 J
Conclusion: Scenario C requires the most work, as it has the highest value of 60 J.