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 B
machine B
machine D
machine D
machine A
machine A
machine C
machine C
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The efficiency of a machine is determined by the ratio of output work to input work.
For machine A, the efficiency is 750 J / 1,500 J = 0.5 or 50%.
For machine B, the efficiency is 1,000 J / 4,000 J = 0.25 or 25%.
For machine C, the efficiency is 450 J / 600 J = 0.75 or 75%.
For machine D, the efficiency is 3,000 J / 5,000 J = 0.6 or 60%.
From this analysis, we can see that machine C has the highest efficiency with 75%.
To determine which machine has the highest efficiency, we can use the formula for efficiency:
Efficiency = Output Work / Input Work * 100%
Let's calculate the efficiencies for each machine:
Machine A: Efficiency = 750 J / 1,500 J * 100% = 50%
Machine B: Efficiency = 1,000 J / 4,000 J * 100% = 25%
Machine C: Efficiency = 450 J / 600 J * 100% = 75%
Machine D: Efficiency = 3,000 J / 5,000 J * 100% = 60%
From the calculations, we can see that Machine C has the highest efficiency with 75%.
To determine which machine has the highest efficiency, we need to calculate the efficiency for each machine. Efficiency is calculated by dividing the output work by the input work and multiplying by 100 to get a percentage.
For machine A:
Efficiency = (Output Work / Input Work) * 100
= (750 / 1500) * 100
= 50%
For machine B:
Efficiency = (Output Work / Input Work) * 100
= (1000 / 4000) * 100
= 25%
For machine C:
Efficiency = (Output Work / Input Work) * 100
= (450 / 600) * 100
= 75%
For machine D:
Efficiency = (Output Work / Input Work) * 100
= (3000 / 5000) * 100
= 60%
After calculating the efficiencies for each machine, we can see that machine C has the highest efficiency with a value of 75%. Therefore, the correct answer is machine C.