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

Click For Summary
To illustrate E=mc² with real numbers, the mass of 1,000 hydrogen atoms is approximately 1.008 grams, which needs to be converted to kilograms for calculations. The correct formula involves using the speed of light in meters per second, specifically 299,792,458 m/s. The energy (E) calculated from this mass will be expressed in joules (J), the SI unit for energy. It's crucial to ensure that all measurements are in compatible units, particularly using kilograms for mass. Accurate calculations require proper unit conversions to avoid confusion, especially distinguishing between meters and miles.
GeorgeW
Messages
4
Reaction score
0
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?
 
Physics news on Phys.org
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.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 12 ·
Replies
12
Views
12K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K