OpenStax College Physics/Formulas (master)

Introduction
Introduction   &loz;hello    

Kinematics
Kinematics   &loz;hello    

Two-Dimensional Kinematics
Two-Dimensional Kinematics   &loz;hello    

Dynamics: Force and Newton's Laws of Motion
Dynamics: Force and Newton's Laws of Motion   &loz;hello    

Further Applications of Newton's Laws: Friction, Drag, and Elasticity
Further Applications of Newton's Laws: Friction, Drag, and Elasticity   &loz;hello    

Uniform Circular Motion and Gravitation
Uniform Circular Motion and Gravitation   &loz;hello    

Work, Energy, and Energy Resources
Work, Energy, and Energy Resources   &loz;hello    

Linear Momentum and Collisions
Linear Momentum and Collisions   &loz;hello    

Statics and Torque
<section begin=Statics and Torque/>Statics and Torque   &loz;hello    <section end=Statics and Torque/>

Rotational Motion and Angular Momentum
<section begin=Rotational Motion and Angular Momentum/>Rotational Motion and Angular Momentum   &loz;hello    <section end=Rotational Motion and Angular Momentum/>

Fluid Statics
<section begin=Fluid Statics/>Fluid Statics   &loz;hello    <section end=Fluid Statics/>

Fluid Dynamics and Its Biological and Medical Applications
<section begin=Fluid Dynamics and Its Biological and Medical Applications/>Fluid Dynamics and Its Biological and Medical Applications   &loz;hello    <section end=Fluid Dynamics and Its Biological and Medical Applications/>

Temperature, Kinetic Theory, and the Gas Laws
<section begin=Temperature, Kinetic Theory, and the Gas Laws/>Temperature, Kinetic Theory, and the Gas Laws   &loz;hello    <section end=Temperature, Kinetic Theory, and the Gas Laws/>

Heat and Heat Transfer Methods
<section begin=Heat and Heat Transfer Methods/>Heat and Heat Transfer Methods   &loz;hello    <section end=Heat and Heat Transfer Methods/>

Thermodynamics
<section begin=Thermodynamics/>Thermodynamics   &loz;hello    <section end=Thermodynamics/>

Oscillatory Motion and Waves
<section begin=Oscillatory Motion and Waves/> 16. Oscillatory Motion and Waves   $$F=-kx$$ (Hooke's law)     &loz; $$PE_{el}=\tfrac 1 2 kx^2$$ (Spring energy)   &loz; $$fT=1$$ (frequency-period)   &loz; $$\omega\equiv 2\pi/T = \sqrt{k/m}\text{ or }\sqrt{g/L}$$ (mass/spring or simple pendulum)   &loz; $$x=X\cos(\omega t),$$   $$ v=-\omega X\sin(\omega t),$$    $$ a=-\omega^2 X \cos(\omega t)$$ (simple harmonic motion)    &loz; $$f\lambda = v_{w}$$ (wave speed)   &loz; $$f_B=|f_1-f_2|$$ (beat frequency) <section end=Oscillatory Motion and Waves/>

Physics of Hearing
<section begin=Physics of Hearing/> 17. Physics of Hearing $$v_w=f\lambda\approx(\text{331m/s})\sqrt{T/\text{273K}}$$ (sound speed)   &loz; $$I=P/A=(\Delta p)^2/(2\rho v_w)$$ (sound intensity)   &loz; $$\beta \text{(dB)}= 10\log_{10}(I/I_0)$$ (I0 = 10-12W/m2 is the hearing threshold level)   &loz; $$f_{obs}=f_s\left(\frac{v_w}{v_w\pm v_s}\right)$$ (+/- for motion (away/towards) stationary observer)   &loz; $$f_{obs}=f_s\left(\frac{v_w\pm v_{obs}}{v_w}\right)$$ (+/- for motion (towards/away from stationary source)   &loz;     $$f_n=n\frac{v_w}{4L}$$ $$n=1,3,5...$$ (one end closed)    &loz;    $$f_n=n\frac{v_w}{2L}$$ $$n=1,2,3...$$ (both ends open)    &loz;    $$a=(Z_2-Z_1)^2/(Z_1+Z_2)^2$$ (intensity reflection coefficient with acoustical impedance $$Z=\rho v_w$$) <section end=Physics of Hearing/>

Electric Charge and Electric Field
<section begin=Electric Charge and Electric Field/> 18. Electric Charge and Electric Field   e&asymp;1.6 x 10&minus;19 C (fundamental charge)    &loz; $$F=k\frac{|q_1q_2|}{r^2}$$ (Coulomb's law with k &asymp;8.99x109 N m2 C&minus;2)   &loz; $$\vec F = q\vec E$$ (Force law with E =kq/r2 for the electric field due to a point charge) <section end=Electric Charge and Electric Field/>

Electric Potential and Electric Field
<section begin=Electric.C2.A0Potential and Electric Field/> 19. Electric Potential and Electric Field    $$\Delta\text{PE}=q\Delta V = q(V_B-V_A)$$ (potential energy for moving from A to B)   &loz; $$1eV\approx 1.6\times 10^{-16}\text{ Joules}$$ (unit conversion)   &loz; $$E = -\Delta V/\Delta s$$ (change in electric potential for small step parallel to electric field)   &loz; $$V=kQ/r$$ (point charge)   &loz; $$Q=CV$$ (capacitor charge)    &loz; $$C=\varepsilon_0 A/d$$ (parallel plate with &epsilon;0 = 8.85&times;10&minus;12F/m)   &loz; &epsilon;=&kappa;&epsilon;0 (dielectric correction)   &loz; $$\frac{1}{C_S}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}+\dots$$ (series)   &loz; $$C_p=C_1+C_2+C_3+\dots$$ (parallel)   &loz; $$E_{cap}=\tfrac 1 2 QV =\tfrac 1 2 CV^2 =Q^2/(2C)$$ (stored energy) <section end=Electric.C2.A0Potential and Electric Field/>

Electric Current, Resistance, and Ohm's Law
<section begin=Electric.C2.A0Current, Resistance, and Ohm's Law/> 20. Electric Current, Resistance, and Ohm's Law    $$I=\Delta Q/\Delta t$$ (current:(1A&equiv;1C/s)    &loz;    $$I=nqAv_d$$ (current and drift velocity)    &loz;    $$V=IR$$ (Ohm's law: 1&Omega;=1V/A)    &loz;    $$R=\rho L/A$$ (resistivity and resistance)    &loz;    $$\rho=\rho_0 + \alpha\Delta T$$ (temperature coefficient)    &loz;    $$P=IV=I^2R=V^2/R$$ (power as energy/time)    &loz;    $$P_\text{ave}=I_\text{rms}V_\text{rms}=I_\text{rms}^2R=V_\text{rms}^2/R$$ ([alternating current)    &loz;    $$X_\text{rms}=\tfrac{1}{\sqrt 2} X_0$$ (rms and peak value) $$X(t)=X_0\sin(2\pi ft)$$) <section end=Electric.C2.A0Current, Resistance, and Ohm's Law/>

Circuits and DC Instruments
<section begin=Circuits and DC Instruments/>21. Circuits and DC Instruments   &loz;     $$R_s=R_1+R_2+R_3+\ldots$$ (series)     &loz; $$R_{eq}^{-1} = $$ $$ R_1^{-1}+R_2^{-1}+R_3^{-1}+\ldots$$ (parallel)   &loz; $$V_\text{terminal} = \text{emf} -Ir$$ (terminal voltage, emf, internal resistance)    &loz; $$\Sigma I_\text{out}=\Sigma I_\text{in}$$ and $$\Sigma\Delta V = 0$$ (Kirchhoff's rules: $$\Delta V > 0$$ if path from &minus; to + voltage or opposite current through resistor     &loz;     $$\tau = RC$$ (RC time): $$V=\text{emf}\,(1-e^{-t/RC})$$ (charging)    &loz;     $$V=\text{emf}\,e^{-t/RC}$$ (discharging) <section end=Circuits and DC Instruments/>

end
hello <section end=Circuits and DC Instruments/>

Magnetism
<section begin=Magnetism/> Magnetism   &loz;    hi <section end=Magnetism/>

<!-- HIDE

Electromagnetic Induction, AC Circuits, and Electrical Technologie
<section begin=Electromagnetic Induction, AC Circuits, and Electrical Technologie/>Electromagnetic Induction, AC Circuits, and Electrical Technologie   &loz;    <section end=Electromagnetic Induction, AC Circuits, and Electrical Technologie/>

Electromagnetic Waves
<section begin=Electromagnetic Waves/>Electromagnetic Waves   &loz;    <section end=Electromagnetic Waves/>

Geometric Optics
<section begin=Geometric Optics/>Geometric Optics   &loz;    <section end=Geometric Optics/>

Vision and Optical Instruments
<section begin=Vision and Optical Instruments/>Vision and Optical Instruments   &loz;    <section end=Vision and Optical Instruments/>

Wave Optics
<section begin=Wave Optics/>Wave Optics   &loz;    <section end=Wave Optics/>

Special Relativity
<section begin=Special Relativity/>Special Relativity   &loz;    <section end=Special Relativity/>

Introduction to Quantum Physics
<section begin=Introduction to Quantum Physics/>Introduction to Quantum Physics   &loz;    <section end=Introduction to Quantum Physics/>

Atomic Physics
<section begin=Atomic Physics/>Atomic Physics   &loz;    <section end=Atomic Physics/>

Radioactivity and Nuclear Physics
<section begin=Radioactivity and Nuclear Physics/>Radioactivity and Nuclear Physics   &loz;    <section end=Radioactivity and Nuclear Physics/>

Medical Applications of Nuclear Physics
<section begin=Medical Applications of Nuclear Physics/>Medical Applications of Nuclear Physics   &loz;    <section end=Medical Applications of Nuclear Physics/>

Particle Physics
<section begin=Particle Physics/>Particle Physics   &loz;    <section end=Particle Physics/>

Frontiers of Physics
<section begin=Frontiers of Physics/>Frontiers of Physics   &loz;    <section end=Frontiers of Physics/>

-->