How does E=MC^2 convert to Joules?

[JoshuaFarrell]

How does E=MC^2 convert to Joules? How can the speed of light measured in m/s and mass measured in grams convert to joules?

 

[Vanadium 50]

Mass is in kilograms.

 

[TumblingDice]

According to wikipedia mass-energy equivalence, 1 joule = 11.1265 femtograms (11.1265x10^-18 grams)

http://en.wikipedia.org/wiki/Joule

 

[JoshuaFarrell]

Thanks Guys

 

[pmacias]

E=MC^2 is a famous equation derived by Albert Einstein in his theory of relativity. It states that the energy (E) of a body is equal to its mass (M) multiplied by the square of the speed of light (C). This equation is significant as it shows the relationship between mass and energy, and how they are interchangeable.

In order to convert E=MC^2 to Joules, we need to use the units of measurement for each variable. The unit for energy is Joules (J), the unit for mass is kilograms (kg), and the unit for speed of light is meters per second (m/s).

To convert the speed of light from m/s to meters per second squared (m/s^2), we can use the conversion factor of 1 m/s = 1 m/s^2. We then multiply the speed of light (C) by itself to get C^2.

Next, we need to convert the mass from grams to kilograms. We can do this by dividing the mass (M) by 1000, as 1 kilogram (kg) is equal to 1000 grams (g).

Finally, we can plug these converted values into the equation: E=MC^2 = (M/1000)(C^2). This will give us the energy (E) in Joules (J).

In summary, E=MC^2 can be converted to Joules by using the units of measurement for each variable and converting them accordingly. The speed of light (C) is converted from m/s to m/s^2, and the mass (M) is converted from grams to kilograms. These converted values can then be plugged into the equation to obtain the energy in Joules.