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Conservation of Energy… Revisited

Conservation of Energy… Revisited. E = mc 2 ??. A thinking duck ??. Conservation of Energy… Revisited. I’m a goose!. A thinking duck ??. E = mc 2. E = mc 2. E = mc 2. OK, egghead. So what’s this all about then?. This equation simply shows how matter and energy are related. .

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Conservation of Energy… Revisited

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  1. Conservation of Energy… Revisited E = mc2 ?? A thinking duck ??

  2. Conservation of Energy… Revisited I’m a goose! A thinking duck ??

  3. E = mc2

  4. E = mc2

  5. E = mc2 OK, egghead. So what’s this all about then?

  6. This equation simply shows how matter and energy are related.

  7. Let me put this in a way that a duck can understand…

  8. Goose!

  9. Let’s say you have 100 Euros and you want to convert it to US Dollars… What DO you do?

  10. Well, you could go to the bank. Friendly Neighborhood European Bank

  11. Well, you could go to the bank. Friendly Neighborhood European Bank They will calculate, using the current EXCHANGE RATE, how many American Dollars you can get for 100 Euros. (for our purposes, let us ignore the inevitable service charge)

  12. According to the exchange rate for Euros into Dollars, you get 1.5 Dollars for every 1 Euro. So €100 gets you $150. 100 EUROS = ?? US DOLLARS

  13. According to the exchange rate for Euros into Dollars, you get 1.5 Dollars for every 1 Euro. So €100 gets you $150. 100 EUROS = ?? US DOLLARS € 100

  14. According to the exchange rate for Euros into Dollars, you get 1.5 Dollars for every 1 Euro. So €100 gets you $150. 100 EUROS = ?? US DOLLARS € 100 EXCHANGE RATE

  15. According to the exchange rate for Euros into Dollars, you get 1.5 Dollars for every 1 Euro. So €100 gets you $150. 100 EUROS = ?? US DOLLARS $ 150 € 100 EXCHANGE RATE

  16. So, in the transformation of Euros into Dollars, the amount of dollars ($) is obtained by multiplying the amount of Euros (€) by the exchange rate (x). We can express this in a formula: $ = € x where x = 1.5 dollars per euro

  17. Now, let’s say you have Matter with a mass of 100 kilograms (kg) that you want to convert to Energy, which we shall measure in joules (J)… What DO you do?

  18. Well, first we have to go to a different bank.

  19. Well, first we have to go to a different bank. Universal Bank of the Universe (Local Group Affiliate)

  20. Well, first we have to go to a different bank. Universal Bank of the Universe (Local Group Affiliate) Nature will calculate, using her EXCHANGE RATE, how many joules of Energy (E) you can get for a mass (m) of 100 kg. (again, we shall assume that there is no service charge)

  21. E 100 kilograms = ?? joules According to the exchange rate for mass into energy, you get 90,000,000,000,000,000 J of energy (E) for every 1 kg of mass (m). So 100 kg gets you 9,000,000,000,000,000,000 J ! m

  22. E 100 kilograms = ?? joules According to the exchange rate for mass into energy, you get 90,000,000,000,000,000 J of energy (E) for every 1 kg of mass (m). So 100 kg gets you 9,000,000,000,000,000,000 J ! m m 100 kg

  23. E 100 kilograms = ?? joules According to the exchange rate for mass into energy, you get 90,000,000,000,000,000 J of energy (E) for every 1 kg of mass (m). So 100 kg gets you 9,000,000,000,000,000,000 J ! m m 100 kg EXCHANGE RATE

  24. E 100 kilograms = ?? joules According to the exchange rate for mass into energy, you get 90,000,000,000,000,000 J of energy (E) for every 1 kg of mass (m). So 100 kg gets you 9,000,000,000,000,000,000 J ! m m E 100 kg EXCHANGE RATE 9,000,000,000,000,000,000 J

  25. So, in the transformation of mass into energy, the amount of energy (E) is obtained by multiplying the amount of mass (m) by the exchange rate. But unlike the first bank, Nature’s exchange rate is fixed, and it has a value of 90,000,000,000,000,000 joules per kilogram. This is no arbitrary value. It is the square of the speed of light.

  26. So, in the transformation of mass into energy, the amount of energy (E) is obtained by multiplying the amount of mass (m) by the exchange rate. But unlike the first bank, Nature’s exchange rate is fixed, and it has a value of 90,000,000,000,000,000 joules per kilogram. This is no arbitrary value. It is the square of the speed of light. The speed of light is a universal constant and is given the symbol ‘c’. The value for c is 300,000,000 m/s , so c × c = c2 =90,000,000,000,000,000 m2/s2 (You should convince yourself that m2/s2 and J/kg are equivalent units. See “Units” in the Background Materials.)

  27. So, in the transformation of mass into energy, the amount of energy (E) is obtained by multiplying the amount of mass (m) by the exchange rate. But unlike the first bank, Nature’s exchange rate is fixed, and it has a value of 90,000,000,000,000,000 joules per kilogram. This is no arbitrary value. It is the square of the speed of light. The speed of light is a universal constant and is given the symbol ‘c’. The value for c is 300,000,000 m/s , so c × c = c2 =90,000,000,000,000,000 m2/s2 (You should convince yourself that m2/s2 and J/kg are equivalent units. See “Units” in the Background Materials.) We can express all of this in a formula: E = mc2

  28. So you see, my feathered friend…

  29. …at the bank I can transform one CURRENCY into another.

  30. Both are money, but they are in different forms.

  31. Matter and energy are also simply different forms of the same thing…

  32. — I prefer to call it MASS-ENERGY.

  33. The one can be transformed into the other.

  34. In the transformation of mass to energy…

  35. …the EXCHANGE RATE is the square of the speed of light: c2

  36. …the EXCHANGE RATE is the square of the speed of light: c2 Does this guy ever shut up?

  37. And since c has a VERY large value and we are squaring it… Does this guy ever shut up?

  38. …we get an enormous amount of energy…

  39. …we get an enormous amount of energy… OK, thank you

  40. …for atinyamount of matter. OK, thank you

  41. Now, the transformation energy tomass,

  42. Now, the transformation energy tomass, You know, I just remembered, I have an appointment…

  43. …you know, that can happen, too! You know, I just remembered, I have an appointment…

  44. Energy can transform into mass!

  45. Energy can transform into mass! sigh

  46. Let’s say you now have 100 US Dollars and you want to convert it into Euros… 100 DOLLARS = ?? EUROS

  47. Let’s say you now have 100 US Dollars and you want to convert it into Euros… Remembering that $ = €x, then rearranging gives 100 DOLLARS = ?? EUROS $ € = − x

  48. You will get 100 ÷ 1.5 = € 66.67

  49. You will get 100 ÷ 1.5 = € 66.67 $ 100

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