Question
Sarah uses an inclined plant to load a chest into her truck. If she does 84 Joules of work, and the inclined plane is 3 meters long, how much force does she expend?
Responses
87 N
252 N
28 N
81 N
Responses
87 N
252 N
28 N
81 N
Answers
GPT-4o mini
To find the force that Sarah expends, we can use the formula for work:
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
where:
- Work is the work done (in Joules),
- Force is the force applied (in Newtons),
- Distance is the distance over which the force is applied (in meters).
We can rearrange the formula to solve for Force:
\[
\text{Force} = \frac{\text{Work}}{\text{Distance}}
\]
Substituting the values we have:
\[
\text{Force} = \frac{84 \, \text{J}}{3 \, \text{m}} = 28 \, \text{N}
\]
Therefore, the amount of force Sarah expends is **28 N**.
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
where:
- Work is the work done (in Joules),
- Force is the force applied (in Newtons),
- Distance is the distance over which the force is applied (in meters).
We can rearrange the formula to solve for Force:
\[
\text{Force} = \frac{\text{Work}}{\text{Distance}}
\]
Substituting the values we have:
\[
\text{Force} = \frac{84 \, \text{J}}{3 \, \text{m}} = 28 \, \text{N}
\]
Therefore, the amount of force Sarah expends is **28 N**.