Efficiency of Low-Speed vs. High-Speed Chairlifts

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The discussion centers on the efficiency of low-speed versus high-speed chairlifts, noting that both types lose the same amount of energy over equal distances. High-speed chairlifts consume more power to operate at increased speeds, leading to confusion about their efficiency compared to low-speed lifts. Despite the higher power usage, the efficiency ratio—defined as the useful work output relative to total energy input—remains the same for both types. Participants express uncertainty about how efficiency is calculated in this context. Ultimately, the conclusion is that both chairlift types exhibit identical efficiency despite differences in speed and power consumption.
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Homework Statement


The energy lost operating a low-speed chairlift is the same as the energy lost operating a high-speed lift of equal path length. What happens to the efficiency when you change from a low speed to a high speed chairlift?


Homework Equations


We know that high speed chairlifts use more power so that they can go faster.


The Attempt at a Solution


My initial thought was that it would be less efficient because more power is used... but if they stay the same, less of the power will be wasted... making it more efficient??

Please help!

Thank you
 
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What is the definition of efficiency that you are using?
 
The ratio of the output (useful work) to the input (total energy used)

I read that regardless of speed, both the slow and fast chairlifts have identical efficiency, but I don't understand this.
 

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