Question
Efficiency of Machines Quick Check
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Question
Ronald pushes a box up an inclined plane with 35% efficiency. If 224 joules of energy went into moving the box, how much energy did Ronald put into the inclined plane?(1 point)
Responses
189 joules
189 joules
640 joules
640 joules
78.4 joules
78.4 joules
145.6 joules
145.6 joules
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Answers
GPT-4o mini
To find out how much energy Ronald put into the inclined plane, we can use the formula for efficiency, which is:
\[
\text{Efficiency} = \frac{\text{Useful work output}}{\text{Total energy input}}
\]
In this case:
- Efficiency = 35% = 0.35
- Useful work output = 224 joules (based on what went into moving the box)
We can rearrange this formula to find the total energy input:
\[
\text{Total energy input} = \frac{\text{Useful work output}}{\text{Efficiency}}
\]
Substituting in the known values:
\[
\text{Total energy input} = \frac{224 \text{ joules}}{0.35}
\]
Calculating this gives:
\[
\text{Total energy input} = 640 \text{ joules}
\]
Therefore, Ronald put **640 joules** of energy into the inclined plane.
The correct response is **640 joules**.
\[
\text{Efficiency} = \frac{\text{Useful work output}}{\text{Total energy input}}
\]
In this case:
- Efficiency = 35% = 0.35
- Useful work output = 224 joules (based on what went into moving the box)
We can rearrange this formula to find the total energy input:
\[
\text{Total energy input} = \frac{\text{Useful work output}}{\text{Efficiency}}
\]
Substituting in the known values:
\[
\text{Total energy input} = \frac{224 \text{ joules}}{0.35}
\]
Calculating this gives:
\[
\text{Total energy input} = 640 \text{ joules}
\]
Therefore, Ronald put **640 joules** of energy into the inclined plane.
The correct response is **640 joules**.