Question
Force and Work Unit Test
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Question
What is the efficiency of a ramp if 2,000 joules of energy results in 1,200 joules of work?(1 point)
Responses
32%
32%
60%
60%
80%
80%
24%
24%
Answers
GPT-4o mini
Efficiency can be calculated using the formula:
\[
\text{Efficiency} = \left( \frac{\text{Useful Work Output}}{\text{Total Energy Input}} \right) \times 100\%
\]
In this case, the useful work output is 1,200 joules, and the total energy input is 2,000 joules.
Plugging these values into the formula gives:
\[
\text{Efficiency} = \left( \frac{1200 \, \text{J}}{2000 \, \text{J}} \right) \times 100\% = 0.6 \times 100\% = 60\%
\]
Thus, the efficiency of the ramp is **60%**.
\[
\text{Efficiency} = \left( \frac{\text{Useful Work Output}}{\text{Total Energy Input}} \right) \times 100\%
\]
In this case, the useful work output is 1,200 joules, and the total energy input is 2,000 joules.
Plugging these values into the formula gives:
\[
\text{Efficiency} = \left( \frac{1200 \, \text{J}}{2000 \, \text{J}} \right) \times 100\% = 0.6 \times 100\% = 60\%
\]
Thus, the efficiency of the ramp is **60%**.