Speed and Power from the energy content of one M&M candy

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SUMMARY

The energy content of one M&M candy is approximately 12,600 joules, which theoretically allows a person weighing 68.5 kg to run at a speed of 19 m/s for a brief moment, based on kinetic energy calculations. However, this speed does not account for muscle efficiency, which is about 25%. Calculating negative work from lifting a 1 kg mass to a height of 1 meter yields -9.8 joules. To determine how many M&Ms are needed for specific energy outputs, one must consider the metabolic rate and energy distribution in the body.

PREREQUISITES
  • Understanding of kinetic energy equations (KE = 0.5mv²)
  • Knowledge of power calculations (P = mass * gravity * distance / time)
  • Familiarity with work-energy principles (-W = mass * gravity * distance)
  • Basic concepts of human metabolism and energy expenditure
NEXT STEPS
  • Research human metabolic rates for various physical activities
  • Explore the relationship between energy intake and physical performance
  • Investigate muscle efficiency and its impact on energy use during exercise
  • Learn about the physiological limits of human speed and acceleration
USEFUL FOR

Students, educators designing physical science experiments, fitness enthusiasts, and anyone interested in the relationship between nutrition and physical performance.

BavarianBrew
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Homework Statement

I would like to know how fast one M&M could make me run.
One M&M can provide about 12600 J of energy, I weight 68.5 kg.

1)Does this mean I COULD run at about 19 m/s for a fraction of a second using Ke equation?
(I know the human body is complex, muscles are about 25% efficient)

2) I would like to calculate my NEGATIVE work in joules from raising in my hand a 1kg mass, 1m height

3) How many M&M's would I have to eat to raise this?

4) If I want to do question #2 in one second what variable do I need to know to calculate how many M&M's I would need

Homework Equations



ke=.5mv^2

P= mass*gravity*distance/time

-W=mass*gravity*distance

The Attempt at a Solution



1) 19 m/s solving for velocity not factoring muscle efficiency or other variables
2) -9.8 joules
3) -9.8/12600=.0008
4) ?Thanks! I am trying to design a lab for kids.
 
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A detailed calculation would require information about your metabolism.
More general - you can look up the rate energy gets burned by "a human" in different activities ... this will tell you how long the energy of 1m&M would last ... however, not all the food you eat goes into the specific work you want to do, so a lot depends on how energy is distributed in your body.

Your body also has a top speed based on it's mechanics and the environment you run in ... you can imagine your body being like running a large ship, an oceanliner or a capital ship like a destroyer or cruiser. There are lots of places the energy running bits of the ship can come from, and lots of places for it to be used. In extremis, energy can be diverted from some system to run others ... but it does not matter how much energy you put into just pushing the ship through the water, there is a max acceleration and a max speed that is possible.

If you eat a very great deal of m&ms - it won't make you go faster unless you are already starved (and then, you'd have to wait a bit to recover).
 

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