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Force and Work Unit Test

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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?

(1 point)
Responses

machine C
machine C

machine B
machine B

machine A
machine A

machine D

1 answer

To determine which machine has the highest efficiency, we can calculate the efficiency of each machine using the formula:

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

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, let's summarize the efficiency results:

  • 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%.

So the correct response is: machine C.