Question
Four people mow a lawn in the table below. Who does the most work? (Work = Force * displacement)
Person Force (N) Displacement (m) Time (s)
1 2 10 10
2 10 2 20
3 2 5 10
4 5 2 20
(1 point)
Responses
Person 1
Person 1
Person 2
Person 2
Person 3
Person 3
Person 4
Person 4
Person 1 and 2 do the same amount of work
Person 1 and 2 do the same amount of work
Person 3 and 4 do the same amount of work
Person 3 and 4 do the same amount of work
Person Force (N) Displacement (m) Time (s)
1 2 10 10
2 10 2 20
3 2 5 10
4 5 2 20
(1 point)
Responses
Person 1
Person 1
Person 2
Person 2
Person 3
Person 3
Person 4
Person 4
Person 1 and 2 do the same amount of work
Person 1 and 2 do the same amount of work
Person 3 and 4 do the same amount of work
Person 3 and 4 do the same amount of work
Answers
GPT-4o mini
To determine who does the most work, let's calculate the work done by each person using the formula:
**Work = Force * Displacement**
1. **Person 1:**
- Force: 2 N
- Displacement: 10 m
- Work = 2 N * 10 m = **20 J**
2. **Person 2:**
- Force: 10 N
- Displacement: 2 m
- Work = 10 N * 2 m = **20 J**
3. **Person 3:**
- Force: 2 N
- Displacement: 5 m
- Work = 2 N * 5 m = **10 J**
4. **Person 4:**
- Force: 5 N
- Displacement: 2 m
- Work = 5 N * 2 m = **10 J**
Now let's summarize the work done by each person:
- Person 1: 20 J
- Person 2: 20 J
- Person 3: 10 J
- Person 4: 10 J
**Conclusion:**
Person 1 and Person 2 both did the same amount of work, which is 20 J.
The correct response is: **Person 1 and 2 do the same amount of work.**
**Work = Force * Displacement**
1. **Person 1:**
- Force: 2 N
- Displacement: 10 m
- Work = 2 N * 10 m = **20 J**
2. **Person 2:**
- Force: 10 N
- Displacement: 2 m
- Work = 10 N * 2 m = **20 J**
3. **Person 3:**
- Force: 2 N
- Displacement: 5 m
- Work = 2 N * 5 m = **10 J**
4. **Person 4:**
- Force: 5 N
- Displacement: 2 m
- Work = 5 N * 2 m = **10 J**
Now let's summarize the work done by each person:
- Person 1: 20 J
- Person 2: 20 J
- Person 3: 10 J
- Person 4: 10 J
**Conclusion:**
Person 1 and Person 2 both did the same amount of work, which is 20 J.
The correct response is: **Person 1 and 2 do the same amount of work.**