Einstein's Derivation of e=mc^2: Urgent Help Needed

In summary, the conversation discusses a request for assistance with a university project on the A-Bomb and special relativity, specifically how Einstein derived e=mc^2. Two websites are recommended for further research and clarification on the topic. The conversation also touches on the difference between rest mass and relativistic mass, with the conclusion that rest mass is equivalent to proper or invariant mass.
  • #1
uraknai
6
0
hi,

This has probably been asked and answered a million times before so sorry but here goes. I urgently need help with a Maths University project about the A-Bomb which will include a chapter on Special Relativity and e=mc^2. I have read loads of books but they treat special relativity from a modern view point whereas I need to know how Einstein "figured out" e=mc^2 as it's a projcent on the impact and development of maths. Can anyone explaine how Einstein derived e=mc^2 or recommend and books/websites. Also, does anyone have any useful mathematical info on the development of the A-Bomb that might help?

Thanks :smile:
 
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  • #3
Where did E^2=m^2c^4+p^2^2 come from?

And why can't users view their own "warnings?"
 
  • #4
Actually, it's

[tex]E^2 = m_0^2 c^4 + p^2 c^2[/tex]

and it is the same as [tex]E = mc^2[/tex] which uses the "relativisitc mass" whereas the previous expression uses the "proper mass."
 
  • #5
Ummm, which one is rest mass and which one is not? Rest mass is proper mass? Right?
 
  • #6
Tide said:
Actually, it's

[tex]E^2 = m_0^2 c^4 + p^2 c^2[/tex]

...and you can derive it by starting with the relativistic equations for energy and momentum:

[tex]E=\frac {m_0 c^2} { \sqrt {1 - \frac {v^2} {c^2}}}[/tex]

[tex]p=\frac {m_0 v} { \sqrt {1 - \frac {v^2} {c^2}}}[/tex]

and combining them so as to eliminate v.

Mk said:
Rest mass is proper mass? Right?

Right. It's also known as "invariant mass".
 
Last edited:

Related to Einstein's Derivation of e=mc^2: Urgent Help Needed

1. What is the significance of Einstein's derivation of e=mc^2?

The equation e=mc^2, also known as the mass-energy equivalence equation, is one of the most famous equations in physics and has had a profound impact on our understanding of the universe. It shows the relationship between mass and energy, and how they are interchangeable. This equation is the cornerstone of Einstein's theory of relativity and has been used in many technological advancements, including nuclear energy and nuclear weapons.

2. How did Einstein derive the equation e=mc^2?

Einstein derived the equation e=mc^2 through his theory of special relativity, which states that the laws of physics are the same for all observers in uniform motion. He realized that the speed of light is the only constant in the universe and that mass and energy are two forms of the same thing. By combining these ideas, he derived the famous equation e=mc^2, which shows the relationship between mass, energy, and the speed of light.

3. Why is it important to understand Einstein's derivation of e=mc^2?

Understanding Einstein's derivation of e=mc^2 is crucial for understanding the fundamental principles of modern physics. It also provides insights into the relationship between mass and energy and how they are related to the fabric of spacetime. Additionally, this equation has practical applications in fields such as nuclear energy, particle accelerators, and space travel.

4. Are there any misconceptions about Einstein's derivation of e=mc^2?

One common misconception is that Einstein's equation only applies to objects moving at the speed of light. However, this equation applies to all objects, regardless of their speed. Another misconception is that this equation can be used to create unlimited amounts of energy, but in reality, the conversion of mass into energy has strict limitations and requires complex processes.

5. How has Einstein's derivation of e=mc^2 impacted the scientific community?

Einstein's derivation of e=mc^2 has had a tremendous impact on the scientific community. It has revolutionized our understanding of the universe and paved the way for many technological advancements. This equation has been extensively studied and tested, and it continues to be a crucial part of modern physics. It has also inspired further research and discoveries in the field of relativity and energy-mass equivalence.

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