Question
What is the efficiency of a ramp if 2,000 joules of energy results in 1,200 joules of work?
80%
80%
24%
24%
32%
32%
60%
80%
80%
24%
24%
32%
32%
60%
Answers
GPT-4o mini
The efficiency of a machine or system is 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 in the values:
\[
\text{Efficiency} = \left( \frac{1,200 \text{ J}}{2,000 \text{ J}} \right) \times 100\%
\]
\[
\text{Efficiency} = (0.6) \times 100\% = 60\%
\]
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. Plugging in the values:
\[
\text{Efficiency} = \left( \frac{1,200 \text{ J}}{2,000 \text{ J}} \right) \times 100\%
\]
\[
\text{Efficiency} = (0.6) \times 100\% = 60\%
\]
Therefore, the efficiency of the ramp is **60%**.