E=MC^2 : Mathematical derivation of Mass-Energy equivalence equation.

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A mathematical derivation of Mass-Energy equivalence equation of Albert Einstein, E=MC^2.

Kindly note: While taking the integral one has to take the limits and the constant term into account, which need to be gained from experiments. For simplicity, I have not used either of them while taking the integral at the end of the video.

E=Energy
C=Speed of light
m=mass
v=velocity of the mass
F=Force
S=Distance
P=momentum
t=time
w=work or energy
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In the end, Einstein needed Newton's math to counterproof Newton's physics.

Matematicand
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At 2:30, pls show how m=mo/sq root 1-v`2 was derived. The rest i understand

sajidrafique
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Thank you sir, The way you prove is excellent

ujjalkumardutta
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Doesnt the E in E= F*dS refer to kinetic energy?

FuccoSan
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In relativistic mass, in square root, velocity v is constant according to special relativity, then why taking derivative of v non-zero

zahidahmad
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What about units? mass units maybe Kg, c is meters/sec, then c² is meters²/sec²... resulting energy units in Kg * meters²/secs²

norbertocriado
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He assumes without proving that 'm' is variable by the gamma factor. That proof is given elsewhere and not here.
Once one accepts PE = F*d then KE - mv^2/2. Therefore a kinetic photon which can ONLY travel at C wil have KE = gamma mo*C^2. = mC^2.

qualquan
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I still don't know how I don't understand geometry, but I can understand how to do this perfectly fine 😂

VoiceActor
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Dude. I do not believe am in the milk way galaxy

animelovers
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Einstein plagiarize his derivation from Poincaré, among most of his plagiarized works.

joedeglman
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Did not understand a thing here 😅 math is not my strong suit

RomanVideos
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Thank you for the explanation🫡, now I can sleep in peace

EngineeringGeeks