The Brain Filler
The Brain Filler
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Deriving E=mc^2 using 4-vectors and Special Relativity
In this video we work through a derivation of the formula for relativistic energy and show mathematically why it is a conserved and useful quantity. The derivation builds up from a familiarity with 4-vectors, the inner product in Minkowski space, proper time and the Lorentz factor. We also show how E=mc^2 is a special case of this energy in the rest frame of the particle with mass m.
For a full in depth series on special relativity I highly recommend Eigenchris’s channel: czcams.com/users/eigenchris
Of course, if there’s something you’d like me to cover feel free to ask in the comments section
#relativity #derivation #physics
zhlédnutí: 3 535

Video

Deriving the Energy Density of the Electric Field
zhlédnutí 4,1KPřed 2 lety
Using a capacitor as a simple field, this field derives the energy density of the electric field using the energy in a capacitor, the electric field of a capacitor and the definition of capacitance. The equation is then generalised to all fields.
Why Can This Planet Have Ice Over 400°C - Thermal Physics
zhlédnutí 685Před 3 lety
Gliese 436b is a distant exoplanet that is believed to be covered in ice despite having a temperature over 400°C. How is this possible? All is explained in this short video. Specifically, phase/state of matter depends not only on temperature but on pressure as well. #veritasiumcontest #exoplanets #physics Sources Wikipedia - Gliese 436 b, Triple Point Image/Video Sources in order of appearance ...
The Photoelectric Effect in One Minute
zhlédnutí 2,4KPřed 3 lety
The Photoelectric effect as explained by Einstein represents the birth of quantum physics and the concept of a wave-particle duality. In this video, it is briefly introduced as evidence against the wave model of light. Instead, the photoelectric effect supports the particulate model of light (as packets called photons). These photons (as evidenced by the photoelectric effect) have energy propor...
Deriving The Capacitance of a Parallel Plate Capacitor
zhlédnutí 7KPřed 3 lety
A derivation of the capacitance of a simple parallel plate capacitor using the definition of capacitance, potential difference (as the path integral of the electric field) and gauss’s law (to find the electric field).
Deriving the Capacitor Discharge Equations
zhlédnutí 12KPřed 3 lety
The three capacitor discharge equations for charge, current and potential difference are derived in this video. The charge equation is derived from scratch and the two others are derived using the charge equation.
Deriving Young’s Double Slit Interference Formulas
zhlédnutí 40KPřed 3 lety
In this video, I derive two different, but related, versions of Young’s double slit interference equations. These equations are used to find the points of constructive interference on a screen a distance D away.
A Mathematical description of the Wavefunction (High School Level)
zhlédnutí 813Před 3 lety
In this video the wave function is related to probabilities by using probability density functions and the way of finding the wave function is briefly touched on (Schrödinger’s equation).
Deriving the Equivalent Resistance Formulas for Parallel and Series Circuits
zhlédnutí 15KPřed 3 lety
In this video the equivalent resistance formulas are derived from the fundamental concepts of the conservation of energy, the conservation of charge and the definition of resistance (R=V/I).
Deriving The Escape Velocity And The Schwarzschild Radius
zhlédnutí 26KPřed 3 lety
In this video I derive the escape velocity for a projectile using conservation of energy and the formulas for kinetic and gravitational potential energy. I also apply the escape velocity equation to find the radius of a black hole.
Deriving the Bohr Radius of the Atom
zhlédnutí 54KPřed 3 lety
The Bohr radius of the atom is derived using the De Broglie Wavelength along with some standing waves and circular motion. Overall, this derivation should be totally clear to a high school physics student, with some basic background information.
Deriving The De Broglie Wavelength
zhlédnutí 16KPřed 4 lety
Using simple algebra and some of Einstein’s equations (for mass-energy and the photoelectric effect), I derive De Broglie’s equation for the wavelength of his theoretical matter waves
Deriving the Universal Wave Equation
zhlédnutí 3,8KPřed 4 lety
In this video the simple equation for velocity and the concept of the wavelength and the period will be combined to derive the universal wave equation. It also uses dimensional analysis to show it is true and covers when the equation applies.
Deriving The Period Of A Pendulum Using SHM
zhlédnutí 56KPřed 4 lety
This video uses forces and simple harmonic motion to derive the period of a pendulum (for small angles). It also shows why the formula only works for small angles.
Quarks and Hadrons - Explained
zhlédnutí 11KPřed 4 lety
Covering quarks, antiquarks, hadrons (baryons and mesons) and conservation laws needed for nuclear equations (conservation of strangeness, charge and baryon number). This video has everything you need to know about quarks for the IB physics exam. Chapter Times: Introduction - 0:00 Reintroducing a Basic Model of the Atom - 0:26 Electrons are a fundamental particle (Leptons) - 0:46 Up and Down Qu...
Deriving Orbital Speed, Total Energy and Kepler’s 3rd Law
zhlédnutí 4,2KPřed 4 lety
Deriving Orbital Speed, Total Energy and Kepler’s 3rd Law
Deriving The Formula For Gravitational Potential Energy
zhlédnutí 31KPřed 4 lety
Deriving The Formula For Gravitational Potential Energy
IB Physics - Projectile Motion Using Energy Conservation
zhlédnutí 12KPřed 4 lety
IB Physics - Projectile Motion Using Energy Conservation
Converging/Convex Lenses - IGCSE Physics
zhlédnutí 17KPřed 4 lety
Converging/Convex Lenses - IGCSE Physics
IB Chemistry - Trends in the Periodic Table
zhlédnutí 1,2KPřed 4 lety
IB Chemistry - Trends in the Periodic Table
3 Types of Radioactive Decay
zhlédnutí 6KPřed 5 lety
3 Types of Radioactive Decay
IGCSE Biology - Enzymes
zhlédnutí 523Před 6 lety
IGCSE Biology - Enzymes
Causes of WW1- Alliances
zhlédnutí 35KPřed 6 lety
Causes of WW1- Alliances
IGCSE Chemistry - Naming Ionic Compounds and Formulae
zhlédnutí 2,9KPřed 6 lety
IGCSE Chemistry - Naming Ionic Compounds and Formulae
IGCSE Chemistry - Groups of the Periodic Table
zhlédnutí 20KPřed 6 lety
IGCSE Chemistry - Groups of the Periodic Table
IGCSE Chemistry - Atomic Structure
zhlédnutí 2,8KPřed 6 lety
IGCSE Chemistry - Atomic Structure
IGCSE Biology - Gas Exchange
zhlédnutí 3,3KPřed 6 lety
IGCSE Biology - Gas Exchange
IGCSE Physics - SI Units and Prefixes
zhlédnutí 8KPřed 6 lety
IGCSE Physics - SI Units and Prefixes
IGCSE Biology - Specialised Cells
zhlédnutí 3,4KPřed 6 lety
IGCSE Biology - Specialised Cells
Quick Guide To China
zhlédnutí 634Před 7 lety
Quick Guide To China