Need a practical example of E=mc^2 with real numbers

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SUMMARY

The discussion focuses on applying the equation E=mc² to calculate the energy of 1,000 hydrogen atoms. The correct formula involves using the mass of hydrogen in kilograms, specifically 1.008 grams per hydrogen atom, and the speed of light, which is 299,792,458 meters per second. The energy calculated will be in Joules (J), as per SI units. Clarifications were made regarding the units of measurement, emphasizing that "m" in m/s refers to meters, not miles.

PREREQUISITES
  • Understanding of the equation E=mc²
  • Knowledge of SI units, particularly Joules (J)
  • Familiarity with the mass of hydrogen atoms in kilograms
  • Basic grasp of the speed of light in meters per second
NEXT STEPS
  • Research the mass of hydrogen atoms in kilograms for accurate calculations
  • Learn about unit conversions between grams and kilograms
  • Explore the implications of E=mc² in practical physics applications
  • Study the concept of energy in different forms and its measurement in Joules
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Students in physics, educators teaching energy concepts, and anyone interested in practical applications of Einstein's theory of relativity.

GeorgeW
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Need a practical example of E=MC2 with real numbers

Ok, so I understand that Energy = Mass of an Object * Speed of light square, if we must convert this to numbers, how can this be presented for let’s say 1,000 hydrogen atoms?

Energy = 1.008 (Hydrogen mass) * 1,000 (hydrogen atoms) * speed of light * speed of light
Energy = 1.008 * 1,000 * 299 792 458 m / s * 299 792 458 m / s

The first 2 parts are ok, but what about the speed of light, that is miles per second, is there a number there that removed the m/s so we can calculate it?

And what about E, what kind of units result in E?
 
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Energy in SI units is Joules (J). 1 J = 1 kg⋅m2/s2. Your formula is incorrect because you did not express the mass of the hydrogen atom in kg. You need to look that up. Note that in your formula so far you have the m2/s2. BTW m in m/s stands for "meters" not miles. Miles per second is sometimes written as mi/s or spelled out entirely to avoid confusion.
 

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