Question

read each scenario and then answer the question. scenario a: a 7 n bucket is raised a distance of 6 m. scenario b: a 10 n bucket is raised a distance of 4 m. scenario c: a 12 n bucket is raised a distance of 3 m. which scenario requires the most work?

Explanation:

Step1: Recall work formula

Work $W = F \times d$, where $F$ is force, $d$ is distance.

Step2: Calculate work for Scenario A

$W_A = 7\ \text{N} \times 6\ \text{m} = 42\ \text{J}$

Step3: Calculate work for Scenario B

$W_B = 10\ \text{N} \times 4\ \text{m} = 40\ \text{J}$

Step4: Calculate work for Scenario C

$W_C = 12\ \text{N} \times 3\ \text{m} = 36\ \text{J}$

Step5: Compare work values

$42\ \text{J} > 40\ \text{J} > 36\ \text{J}$

Answer:

Scenario A (A 7 N bucket raised 6 m) requires the most work.