Question

two movers use a rope system to lift a box to a third story apartment they do 1,200 j of work on the rope system, and the rope system does 1,020 j of work on the box. what is the efficiency of the rope system?

the efficiency of the rope system is ______%

Answer 1

To calculate the efficiency of the rope system, you can use the formula:

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

Given:
- Work Input (work done by the movers) = 1,200 J
- Work Output (work done by the rope system on the box) = 1,020 J

Now, plug in the values:

\[
\text{Efficiency} = \left( \frac{1,020 \, \text{J}}{1,200 \, \text{J}} \right) \times 100\%
\]

Calculating the fraction:

\[
\frac{1,020}{1,200} = 0.85
\]

Now, multiply by 100 to get the efficiency percentage:

\[
\text{Efficiency} = 0.85 \times 100\% = 85\%
\]

Therefore, the efficiency of the rope system is **85%**.