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?

Question

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%.