###
Linear Motion, V, Vo, a, t

V=V₀+at

###
Linear Motion, Δx, Vo, a, t

Δx=V₀**t+1/2 a**t²

###
Linear Motion, V, Vo, a, x

V²=V₀²+2aΔx

###
Linear Motion, Δx, avg. V, t

Δx=avgV**t=t**(V₀+V)/2

###
Force

∑F=m**a, in newtons 1 N=1 kg**m/s²

###
Weight

W=m*g, where g= 9.8 m/s²

###
Gravity

F=Gm₁m₂/r², where G is the gravitational constant

###
Gravitational Constant

6.67E-11 N*m²/kg²

###
Torque

τ=rFsinθ, where θ=angle between r and F

###
Kinetic friction

f=μN, where N=normal force and μ=friction coefficient

###
Centripetal Force

F=ma=mv²/r

###
Work

W=Fdcosθ, measured in Joules, 1 J=1 N*m

###
Power

P=W/t, measured in Watts, 1 watt=1 J/s

###
Kinetic Energy

KE=mv²/2, measured in Joules

###
Potential Energy

U=mgh, measured in joules

###
Specific Heat

Q=mcΔT; only where there is no phase change

###
Heat of Transformation

Q=mL, where L is the heat required to change phase of 1 kg of substance

###
Pressure

P=F/A, in Pascals, 1 Pa=1 N/m²

###
First Law of Thermodynamics

ΔU=Q-W, where ΔU is change in internal energy.

###
Absolute Pressure of a Fluid

P=P₀+ρgh, where P₀ is pressure at the surface, h is depth of the point measured.

###
Pascal's Principle

ΔP=F₁/A₁=F₂/A₂

V=A₁d₁=A₂d₂

W=F₁d₁=F₂d₂

###
Continuity Equation

v₁A₁=v₂A₂

###
Bernoulli's Equation

P₁+ρv₁²/2+ρgy₁=P₂+ρv₂²/2+ρgy₂, where P=absolute pressure, ρ=density, and y=height relative to reference height

###
Fundamental Unit of Charge

e=1.60E-19 C

###
Coulomb's Law

F=K q₁*q₂/r², magnitude of force between two charges

###
Electric Potential Energy

U=kqQ/r

###
Electric Field

F=q₀E, where Force is acted upon charged particle in E, electric field

###
Electric Potential

V=W/q₀, W is work needed to move test charge

###
Magnetic Force

F=qvBsinθ, on moving charge q at angle θ relative to magnetic field B

###
right-hand rule

hand on plane with forefingers pointing B and thumb pointing qv, F will come out of palm

###
Magnetic Centripetal Force

F=qvB=mv²/r, for when qv is perpendicular to B

###
Current

i=Δq/Δt, in Ampere, 1 A=1C/s

###
Force for Current-carrying Wire

F=iLBsinθ, for wire length L carrying i at angle θ to B

###
Ohm's Law

V=iR, where R is resistance

###
Power dissipation by Resistor

P=iV=i²R=V²/R

###
Resistors in Series

R=R₁+R₂+R₃+...

###
Resistors in Parallel

1/R=1/R₁+1/R₂+1/R₃+... V=V₁=V₂=...

###
Capacitance

C=Q/V, in Farads, 1 F=1C/V

###
Capacitors in Parallel

C=C₁+C₂+C₃+...

###
Capacitors in Series

1/C=1/C₁+1/C₂+...

###
Angular Frequency

ω=√(k/m)=√(g/L); k/m for spring, g/L for pendulum

###
Simple Harmonic Motion: acceleration

a=-ω²x

###
Simple Harmonic Motion: Linear Restoring Force

F=-kx

###
Speed of Wave

v=fλ, where λ=wavelength

###
Wave variable relationships

v=fλ=ω/k=λ/T; k=2π/λ, ω=2πf=2π/T

###
Sound Intensity

P=IA, where P=power, I=intensity, A=surface area

###
Sound Level

β=10log(I/I₀) where I₀=1E-12 W/m²

###
Doppler Effect

f=f₀(v±Vd)/(v±Vs), Vd is speed of detector, Vs is speed of source. + top - bottom for moving towards, - top + bottom for moving away

###
Speed of Light

c=fλ, c=3.00E8

###
Magnification

m=-i/o, i is distance of image from mirror, o distance object from mirror

###
Snell's Law

n=c/v, n₁sinθ₁=n₂sinθ₂, where n is index of refraction

###
Exponential Decay

n=n₀e^(-λt), λ is decay constant

###
Decay Constant

λ=ln2/T, where T is half life

###
Photon Energy

E=hf, where h=6.626E-34 (Planck's constant)

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