To determine which machine has the highest efficiency, we can use the formula for efficiency:
\[ \text{Efficiency} = \left( \frac{\text{Output Work}}{\text{Input Work}} \right) \times 100 \]
Let's calculate the efficiency for each machine based on the output and input work provided.
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Machine A: \[ \text{Efficiency} = \left( \frac{750 , \text{J}}{1500 , \text{J}} \right) \times 100 = 50% \]
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Machine B: \[ \text{Efficiency} = \left( \frac{1000 , \text{J}}{4000 , \text{J}} \right) \times 100 = 25% \]
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Machine C: \[ \text{Efficiency} = \left( \frac{450 , \text{J}}{600 , \text{J}} \right) \times 100 = 75% \]
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Machine D: \[ \text{Efficiency} = \left( \frac{3000 , \text{J}}{5000 , \text{J}} \right) \times 100 = 60% \]
Now we can compare the efficiencies:
- Machine A: 50%
- Machine B: 25%
- Machine C: 75%
- Machine D: 60%
Machine C has the highest efficiency at 75%. Therefore, the answer is machine C.