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Antuanne
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I've just saw this other equation E2=m2c4+p2c2 but what's going on with that? I thought E=mγc2 was the equation including relativistic mass. What is going on?
Antuanne said:I get it now, but, if you we're traveling near the speed of light and needed the Lorentz factor, would you make it E2=(mγ)2c4+(mvγ)c2 since you need to put in for relativistic mass in both places?
Antuanne said:I get it now, but, if you we're traveling near the speed of light and needed the Lorentz factor, would you make it E2=(mγ)2c4+(mvγ)c2 since you need to put in for relativistic mass in both places?
Antuanne said:That makes sense, but in the simplified thing E=mγc2, where does the γ come from then?
It is always there. But if you are at rest, the gamma factor is 1 and it reduces to the famous form. If you are traveling at lightspeed then gamma is infinite, but m is zero and you need to use the other form and a different definition of momentum - p=2pi hk.Antuanne said:That makes sense, but in the simplified thing E=mγc2, where does the γ come from then?
Ibix said:It is always there. But if you are at rest, the gamma factor is 1 and it reduces to the famous form. If you are traveling at lightspeed then gamma is infinite, but m is zero and you need to use the other form and a different definition of momentum - p=2pi hk.
Antuanne said:What I'm asking is what is the equation E2=m2c4+p2c2 used for if E=mγc2 is used for total energy? And is the γ in the just there for relativistic mass or what is that there for?
Antuanne said:Do E2=m2c4+p2c2 and E=mγc2 give you the same answer, because, it doesn't seem like they do?
Antuanne said:Do E2=m2c4+p2c2 and E=mγc2 give you the same answer, because, it doesn't seem like they do?
Antuanne said:I still can't figure out how to factor or whatever your doing to get to that!
The equation E=mc², also known as the mass-energy equivalence equation, is a fundamental concept in the theory of relativity. It shows that mass and energy are two sides of the same coin, and that they can be converted into one another. This equation helps us understand the relationship between mass and energy and how they are intertwined in the fabric of the universe.
The letter E stands for energy, m stands for mass, and c represents the speed of light. The equation essentially states that the energy of an object is equal to its mass multiplied by the speed of light squared. This means that a small amount of mass can contain a large amount of energy, as long as it is moving at the speed of light.
E=mc² is a key component of Einstein's theory of special relativity, which states that the laws of physics are the same for all observers in uniform motion. This equation shows that mass and energy are not separate entities but are interconnected, and that they both play a role in the fabric of space and time.
One example of the application of E=mc² is in nuclear energy. In a nuclear reaction, a small amount of mass is converted into a large amount of energy, as shown by this equation. This is the principle behind nuclear power plants and nuclear weapons.
Yes, there are several other equations of relativity that are crucial to understanding the theory. Some examples include the Lorentz transformation equations, which describe how the measurements of space and time change for different observers, and the equation for gravitational force, which explains how mass and gravity are related.