Question
Sierra did 500 J of work to move her couch. If she exerts 250 N of force on the couch, how far did she move it? (Work: W = Fd)
0.5 m
2 m
250 m
750 m
0.5 m
2 m
250 m
750 m
Answers
GPT-4o mini
To find the distance Sierra moved the couch, we can use the work formula:
\[ W = F \cdot d \]
where:
- \( W \) is the work done (in joules),
- \( F \) is the force applied (in newtons),
- \( d \) is the distance moved (in meters).
We can rearrange the formula to solve for distance \( d \):
\[ d = \frac{W}{F} \]
Now, we can plug in the values:
- \( W = 500 \) J
- \( F = 250 \) N
Calculating the distance:
\[ d = \frac{500 \text{ J}}{250 \text{ N}} = 2 \text{ m} \]
So, Sierra moved the couch **2 m**.
\[ W = F \cdot d \]
where:
- \( W \) is the work done (in joules),
- \( F \) is the force applied (in newtons),
- \( d \) is the distance moved (in meters).
We can rearrange the formula to solve for distance \( d \):
\[ d = \frac{W}{F} \]
Now, we can plug in the values:
- \( W = 500 \) J
- \( F = 250 \) N
Calculating the distance:
\[ d = \frac{500 \text{ J}}{250 \text{ N}} = 2 \text{ m} \]
So, Sierra moved the couch **2 m**.