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?(1 point)
Responses
252 N
252 N
28 N
28 N
87 N
87 N
81 N
Responses
252 N
252 N
28 N
28 N
87 N
87 N
81 N
Answers
GPT-4o mini
To find the force exerted by Sarah while using the inclined plane, we can use the work equation:
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
Rearranging this equation to solve for force gives us:
\[
\text{Force} = \frac{\text{Work}}{\text{Distance}}
\]
Given that the work done is 84 Joules and the distance of the inclined plane is 3 meters, we can substitute these values into the equation:
\[
\text{Force} = \frac{84 \, \text{J}}{3 \, \text{m}}
\]
Now, calculate the force:
\[
\text{Force} = 28 \, \text{N}
\]
So, the correct answer is **28 N**.
\[
\text{Work} = \text{Force} \times \text{Distance}
\]
Rearranging this equation to solve for force gives us:
\[
\text{Force} = \frac{\text{Work}}{\text{Distance}}
\]
Given that the work done is 84 Joules and the distance of the inclined plane is 3 meters, we can substitute these values into the equation:
\[
\text{Force} = \frac{84 \, \text{J}}{3 \, \text{m}}
\]
Now, calculate the force:
\[
\text{Force} = 28 \, \text{N}
\]
So, the correct answer is **28 N**.
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