Question

Read each scenario and then answer the questions.

Scenario A: A shopping cart is pushed a distance of 3 m by a force of 15 N.

Scenario B: A shopping cart is pushed a distance of 4 m by a force of 12 N.

Scenario C: A shopping cart is pushed a distance of 6 m by a force of 10 N.

Which scenario requires the most work?

Answer 1

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.