Conservation of Mechanical Energy
In a closed system, the sum of kinetic and potential energy remains constant.
Carnot Engine Efficiency
Efficiency equals 1 minus cold reservoir temperature over hot reservoir temperature (e=1-Tc/Th).
Electric Potential Energy
Electric potential energy equals charge times electric potential (U=qV).
Charles's Law
For a fixed amount of gas at constant pressure, volume directly proportional to temperature (V1/T1=V2/T2).
Entropy
A measure of the disorder or randomness in a system.
Conservation of Angular Momentum
Angular momentum remains constant if no external torques act on the system.
Biot-Savart Law
Calculates magnetic field produced by a current-carrying wire.
Ampere’s Law
The magnetic field in space around an electric current is proportional to the electric current.
Archimedes' Principle
The upward buoyant force on an object immersed in fluid is equal to the weight of the fluid displaced.
De Broglie Wavelength
A particle's wavelength is inversely proportional to its momentum (λ=h/p).
Bernoulli’s Equation
Pressure plus one half density times velocity squared plus density times gravity times height is constant.
Doppler Effect
Change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source.
Coulomb’s Law (Electric Fields)
Electric force between charged objects depends on the distance between the objects and the magnitude of the charges.
Conservation of Momentum
In a closed system, total momentum before equals total momentum after an event.
Critical Angle
The angle of incidence above which total internal reflection occurs.
Angular Momentum
Angular momentum equals moment of inertia times angular velocity (L=Iω).
Compton Scattering
The increase in wavelength (and decrease in energy) of X-rays or gamma rays when scattered.
Capacitance Formula
Capacitance equals charge divided by voltage (C=Q/V).
Brewster's Angle
The angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
Energy Stored in a Capacitor
Energy equals one half capacitance times voltage squared (U=1/2CV^2).
Continuity Equation for Fluids
Area times velocity remains constant (A1v1=A2v2).
Avogadro's Law
Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules.
Black Body Radiation
The electromagnetic radiation emitted by a body in thermal equilibrium.
Boyle's Law
For a fixed amount of gas at constant temperature, pressure inversely proportional to volume (P1V1=P2V2).
Coulomb's Law
Electrostatic force equals k times charge1 times charge2 divided by distance squared (Fe=k(q1q2)/r^2).