Maximizing Efficiency: Solving Problems with Ease

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SUMMARY

This discussion focuses on calculating the energy expenditure of a 56.40 kg individual ascending 20.60 meters using the efficiency formula. The efficiency of muscle operation is stated to be approximately 18.50 percent, which is crucial for determining the work done. The relevant equation for mechanical work is given as work = mgh, where m is mass, g is the acceleration due to gravity, and h is height. The efficiency formula is defined as efficiency = work out / work in, emphasizing the relationship between energy input and output.

PREREQUISITES
  • Understanding of basic physics concepts, particularly work and energy.
  • Familiarity with the equation work = mgh.
  • Knowledge of efficiency calculations in mechanical systems.
  • Basic understanding of muscle efficiency metrics.
NEXT STEPS
  • Research the implications of muscle efficiency on physical performance.
  • Explore advanced applications of the mgh equation in different scenarios.
  • Study the relationship between energy expenditure and physical activity levels.
  • Learn about other factors affecting efficiency in mechanical systems.
USEFUL FOR

This discussion is beneficial for physics students, exercise physiologists, and fitness trainers who are interested in understanding energy expenditure and efficiency in physical activities.

robotman
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Homework Statement
Efficiency is defined as work-out/work-in. Muscles operate with an efficiency of about 18.50 percent in converting energy internally into work externally. Accordingly, how much energy will be expended by a 56.40 kg person in the process of ascending several flights of stairs to a height of 20.60 m?
Relevant Equations
mgh
How to use efficiency in this problem?
 
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robotman said:
Homework Statement:: Efficiency is defined as work-out/work-in. Muscles operate with an efficiency of about 18.50 percent in converting energy internally into work externally. Accordingly, how much energy will be expended by a 56.40 kg person in the process of ascending several flights of stairs to a height of 20.60 m?
Relevant Equations:: mgh

How to use efficiency in this problem?
How much mechanical work has to be done to raise a mass m by height h?
 
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Hello again,

##mgh## is not a cure-all 😁 , but here $$ \text {work } = mgh $$ is indeed useful !
robotman said:
How to use efficiency in this problem?
use $$\text {efficiency} \equiv {\text {work out}\over\text {work in}} $$
 
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