EMC2

 E=mc2

A Fun Way of Understanding E=mc2

By Fraser Cain

Additional links.   Decimal referencing

1. Many people fail to realize just how much energy there is locked up in matter. 
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3. The nucleus of any atom is an oven of intense radiation, and when you open the oven door, that energy spills out; oftentimes violently. 
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5. However, there is something even more intrinsic to this aspect of matter that escaped scientists for years.
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7. It wasn’t until the brilliance of Albert Einstein that we were able to fully grasp this correlation between mass and energy. Enter E=mc2. 
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9. This seemingly simple algebraic formula represents the correlation of energy to matter (energy equivalence of any given amount of mass). 
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11. Many have heard of it, but not very many understand what it implies.   more
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13. Many people are unaware of just how much energy is contained within matter. 
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15. So, for the next few minutes, this will attempt to convey to you the magnitude of your own personal potential energy equivalence.
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17. First, we must break down this equation. What do each of the letters mean? What are their values? Let’s break it down from left to right:
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19. E represents the energy, which we measure in Joules.                                         pagetop
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21. Joules is an SI measurement for energy more and is measured as kilograms x meters squared per seconds squared [kg x m2/s2].
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23.  All this essentially means is that a Joule of energy is equal to the force used to move a specific object 1 meter in the same direction as the force.
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25. more below from item 84
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27. m represents the mass of the specified object. For this equation, we measure mass in Kilograms (or 1000 grams).
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29. c represents the speed of light. In a vacuum, light moves at 186,282 miles per second.
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31. However in science we utilise the SI (The International System of Units here), therefore we use measurements of metres and kilometres as opposed to yards and miles.
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33. So whenever we do our calculations for light, we use 3.00 × 108m/s, or rather 300,000,000 metres per second.
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35. So essentially what the equation is saying is that for a specific amount of mass (in kilograms), if you multiply it by the speed of light squared (3.00×108)2, you get its energy equivalence (Joules). 
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37. So, what does this mean? How can I relate to this, and how much energy is in matter?
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39. Well, here comes the fun part. We are about to conduct an experiment.
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41. This isn’t one that we need fancy equipment for, nor is it one that we need a large laboratory for. All we need is simple math and our imagination. 
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43. Now before I go on, I would like to point out that I am utilising this equation in its most basic form. There are many more complex derivatives of this equation that are used for many different applications. 
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45. It is also worth mentioning that when two atoms fuse (such as Hydrogen fusing into Helium in the core of our star) only about 0.7% of the mass is converted into total energy. 
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47. For our purposes we needn’t worry about this, as I am simply illustrating the incredible amounts of energy that constitutes your equivalence in mass, not illustrating the fusion of all of your mass turning into energy.
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49. Let’s begin by collecting the data so that we can input it into our equation.
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51. I weigh roughly 190 pounds. Again, as we use SI units in science, we need to convert this over from pounds to grams. Here is how we do this:
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53. 1 Josh = 190lbs  [ Josh = himself.]          
54. 1 lb = 453.6g 
55. So 190lbs × 453.6g/1 lbs = 86,184g
56. So 1 Josh = 86,184g
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58. pagetop
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60. Since our measurement for E is in Joules, and Joule units of measurement are kilograms x meters squared per seconds squared, I need to convert my mass in grams to my mass in kilograms. 
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62. We do that this way:                86,184g × 1kg/1000g = 86.18k
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64. So 1 Josh = 86.18kg.
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66. Now that I’m in the right unit of measure for mass, we can plug the values into the equation and see just what we get:
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68. E=mc2
69. E= (86.18kg)(3.00 × 108m/s)2
70. E= 7.76 × 1018 Josh
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72. That looks like this: 7,760,000,000,000,000,000 or roughly 7.8 septillion Joules of energy.
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76. Artistic rendition of energy released in an explosion. Via Pixabay.
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78. This is an incredibly large amount of energy. However, it still seems very vague. 
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80. What does that number mean? How much energy is that really? 
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82. [You would need to go to source for a lot more information.]
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86. Thus, concluding our little mind experiment we find that just one human being is roughly the equivalence of 1.86 MILLION kilotons of TNT worth of energy. Let’s now put that into perspective, just to illuminate the massive amount of power that this equivalence really is.
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88. The bomb that destroyed Nagasaki in Japan during World War II was devastating. It levelled a city in seconds and brought the war in the Pacific to a close. That bomb was approximately 21 kilotons of explosives. So that means that I, one human being, have 88,403 times more explosive energy in me than a bomb that destroyed an entire city… and that goes for every human being.

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Notes further to 21 and 23

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Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

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What is the force of 1 Newton?

It is defined as that force necessary to provide a mass of one kilogram with an acceleration of one metre per second per second. One newton is equal to a force of 100,000 dynes in the centimetre-gram-second (CGS) system, or a force of about 0.2248 pound in the foot-pound-second (English, or customary) system.  

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86

The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms. The Newton is the SI unit for weight, and 1 Newton equals 0.225 pounds.

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