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Question
calculating efficiency
two movers use a rope system to lift a box to a third - story apartment. they do 1200 j of work on the rope system and the rope system does 1020 j of work on the box. what is the efficiency of the rope system?
the efficiency of the rope system is ______ %.
Step1: Recall efficiency formula
Efficiency = $\frac{\text{Useful Work Output}}{\text{Total Work Input}} \times 100\%$
Step2: Identify given values
Useful Work Output = 1020 J, Total Work Input = 1200 J
Step3: Substitute values into formula
Efficiency = $\frac{1020}{1200} \times 100\%$
Step4: Calculate the result
$\frac{1020}{1200} = 0.85$, $0.85 \times 100\% = 85\%$
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