Question

Use the table to answer the question.

Machine Output Work (J) Input Work (J)
A 750 1,500
B 1,000 4,000
C 450 600
D 3,000 5,000
Which machine has the highest efficiency?


machine C
machine C

machine A
machine A

machine B
machine B

machine D

Answer 1

To determine which machine has the highest efficiency, we can use the formula for efficiency:

\[
\text{Efficiency} = \left( \frac{\text{Output Work}}{\text{Input Work}} \right) \times 100\%
\]

Now, let's calculate the efficiency for each machine.

### Machine A:
\[
\text{Efficiency}_A = \left( \frac{750}{1500} \right) \times 100\% = 50\%
\]

### Machine B:
\[
\text{Efficiency}_B = \left( \frac{1000}{4000} \right) \times 100\% = 25\%
\]

### Machine C:
\[
\text{Efficiency}_C = \left( \frac{450}{600} \right) \times 100\% = 75\%
\]

### Machine D:
\[
\text{Efficiency}_D = \left( \frac{3000}{5000} \right) \times 100\% = 60\%
\]

Now, we can compare the efficiencies:

- Machine A: 50%
- Machine B: 25%
- Machine C: 75%
- Machine D: 60%

The machine with the highest efficiency is **Machine C** with an efficiency of 75%.