Muscles opperating with efficiency of 18%

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In summary, muscles have an efficiency of 18.0% in converting stored chemical energy into work. For a 63.6 kg person ascending several flights of stairs to a height of 21.0m, the amount of chemical energy expended would be approximately 72,716 J. This is calculated by multiplying the potential energy gained (13088.88 J) by the inverse of the efficiency (1/0.18 = 5.56).
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omc1
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Homework Statement

Muscles operate with an efficiency of about 18.0 percent in converting stored chemical energy into work. How much chemical energy will be expended by a 63.6 kg person in the process of ascending several flights of stairs to a height of 21.0m?

Homework Equations

pe= mgh(initial)



The Attempt at a Solution

pe=13088.88 J i wasnt sure if the 18% had anything to do with the problem or not
 
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  • #2
The 18% are relevant.

13088.88 J is the potential energy the person gains. However, the question asks for the chemical energy.

Muscles can convert this chemical energy into work with 18% efficiency - if you expend 100 J of chemical energy, you can gain 18 J of potential energy (at least according to this problem). How much chemical energy to you need to gain 13088.88 J of potential energy?
 
  • #3
i think 2355.10??
 
  • #4
no wait i got 72716 J...i think that's right then
 
  • #5
yup that works thanks!
 

1. How is the efficiency of muscles measured?

The efficiency of muscles is typically measured by calculating the amount of energy output divided by the amount of energy input. In this case, muscles operating with an efficiency of 18% means that 18% of the energy used by the muscles is converted into movement, while the remaining 82% is lost as heat.

2. What factors affect the efficiency of muscles?

The efficiency of muscles can be influenced by a variety of factors, including the type of muscle fibers present, the level of physical fitness, and the intensity and duration of exercise. Additionally, factors such as nutrition, hydration, and temperature can also impact muscle efficiency.

3. How does muscle efficiency affect athletic performance?

In general, higher muscle efficiency can improve athletic performance as less energy is wasted during movement, allowing for longer and more sustained physical activity. However, other factors such as muscle strength and endurance also play a significant role in overall athletic performance.

4. Can muscle efficiency be improved?

Yes, muscle efficiency can be improved through regular exercise and physical training. By building muscle strength and endurance, muscles can become more efficient at converting energy into movement. Proper nutrition and hydration also play a crucial role in improving muscle efficiency.

5. Are there any health implications of low muscle efficiency?

Low muscle efficiency can be a sign of underlying health issues, such as muscle disorders or metabolic disorders. It can also lead to fatigue and decreased physical performance. Consulting a healthcare professional can help identify and address any potential health concerns related to low muscle efficiency.

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