- #1
- 716
- 162
I understand that E=mc^2 and E=hv can't be used to set mc^2 equal to hv, but why would the total equation be E=(mc^2)^2+(hv)^2 instead of E=mc^2+hv? I'm sorry if this question is stupid.
Ok, thanks. By the way, what is the difference between pc and hv? I see them used interchangeably.Khashishi said:Why is the Pythagorean theorem ##c^2 = a^2 + b^2## instead of ##c = a + b##? That's just how space works.
##E^2 = (mc^2)^2 + (pc)^2## is just an application of the Pythagorean theorem in spacetime.
Isaac0427 said:why would the total equation be E=(mc^2)^2+(hv)^2
My bad, I meant E^2jtbell said:Who says it looks like that?
Isaac0427 said:My bad, I meant E^2
nasu said:What is "v" here?
What do you mean?my2cts said:E=hv also for a massive particle.
The equation E^2=(mc^2)^2+(hv)^2, also known as the energy-mass-momentum relation, is important because it explains the relationship between energy, mass, and momentum in the field of physics. It is a fundamental equation in Einstein's theory of special relativity and has been used to make significant advancements in our understanding of the universe.
Albert Einstein derived the equation E^2=(mc^2)^2+(hv)^2 in 1905 as a result of his theory of special relativity. He combined the concept of mass-energy equivalence (E=mc^2) with the equation for the energy of a photon (E=hv) to create a unified equation that describes the relationship between energy, mass, and momentum.
The term E represents energy, m represents mass, c represents the speed of light, h represents Planck's constant, and v represents the frequency of light. The equation shows that energy is composed of two parts: the rest energy of an object (mc^2) and the energy of its motion (hv).
Yes, the equation can be applied to all objects, including particles and photons. However, it is most commonly used to describe the energy and mass of particles moving at high speeds, close to the speed of light. At everyday speeds, the equation simplifies to the more familiar form, E=mc^2.
The equation E^2=(mc^2)^2+(hv)^2 is a direct result of the concept of mass-energy equivalence, which states that energy and mass are equivalent and can be converted into one another. This equation shows that energy is not only related to mass, but also to momentum, as represented by the term (hv)^2. It further demonstrates that energy and mass are inseparable and constantly changing forms in the universe.