Question
what is the efficiency of a ramp if 2,000 joules of energy results in 1,200 joules of work? (show your work)
Answers
GPT-4o mini
To calculate the efficiency of a ramp, we can use the formula for efficiency, which is given by:
\[
\text{Efficiency} (\%) = \left( \frac{\text{Useful Work Output}}{\text{Total Energy Input}} \right) \times 100
\]
In this case, the useful work output is 1,200 joules, and the total energy input is 2,000 joules.
Now, plug in the values:
\[
\text{Efficiency} (\%) = \left( \frac{1,200 \, \text{joules}}{2,000 \, \text{joules}} \right) \times 100
\]
Calculating the fraction:
\[
\frac{1,200}{2,000} = 0.6
\]
Now multiply by 100 to get the percentage:
\[
\text{Efficiency} (\%) = 0.6 \times 100 = 60\%
\]
Therefore, 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.
Now, plug in the values:
\[
\text{Efficiency} (\%) = \left( \frac{1,200 \, \text{joules}}{2,000 \, \text{joules}} \right) \times 100
\]
Calculating the fraction:
\[
\frac{1,200}{2,000} = 0.6
\]
Now multiply by 100 to get the percentage:
\[
\text{Efficiency} (\%) = 0.6 \times 100 = 60\%
\]
Therefore, the efficiency of the ramp is **60%**.