Question
A gardener uses a lever to pry a rock out of the ground. She presses the lever down 0.9 meters and applies 30 Newtons of force. How much work does she do?(1 point)
Responses
27 J
27 J
30.9 J
30.9 J
270 J
270 J
29.1 J
Responses
27 J
27 J
30.9 J
30.9 J
270 J
270 J
29.1 J
Answers
GPT-4o mini
To calculate the work done (W) by the gardener using the lever, you can use the formula:
\[ W = F \times d \]
where:
- \( W \) is the work done,
- \( F \) is the force applied (in Newtons), and
- \( d \) is the distance the lever moves in the direction of the force (in meters).
In this case, the gardener applies a force of 30 Newtons over a distance of 0.9 meters.
Now, plug the values into the formula:
\[ W = 30 \, \text{N} \times 0.9 \, \text{m} = 27 \, \text{J} \]
Thus, the work done by the gardener is **27 J**.
\[ W = F \times d \]
where:
- \( W \) is the work done,
- \( F \) is the force applied (in Newtons), and
- \( d \) is the distance the lever moves in the direction of the force (in meters).
In this case, the gardener applies a force of 30 Newtons over a distance of 0.9 meters.
Now, plug the values into the formula:
\[ W = 30 \, \text{N} \times 0.9 \, \text{m} = 27 \, \text{J} \]
Thus, the work done by the gardener is **27 J**.