SAT Physics Formulas
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Big Five #4
Missing D
Vf = Vi + At

Projectile Motion
Y position
Dy = Vsinθ(t)  (1/2)gt^2

Big Five #1
Missing Acceleration
D = (1/2)(Vf+Vi)(t)

Inclined Plane
Normal Force
Fn = mg*cosθ

Inclined Plane
Gravity Pushing Down Plane Force
Fx = mg*sinθ

Velocity of a Satellite
Relationship between Period and Orbital Radius
 v = sqrt(GM/R)
 T is proportional to Rsqrt(R)
 If R is increased by 4 then T is increased by 4sqrt(4)

Projectile Motion
X position
Dx = Vcosθ(t)

Big Five #5
Missing t
Vf^2 = Vi^2 + 2AD

Big Five #2
Missing Vf
D = Vi(t) + (1/2)At^2

The Universal Gravitational Constant
G = 6.67 * 10^11

Newton's Law of Force of Gravity
Fg = G(m1*m2)/r^2

Pulley System
Relationship of Force
In general, pulley systems multiply our force by the number of strings pulling on the object

Force of Friction
Ff = μmg

Big Five #3
Missing Vi
D = Vf(t)  (1/2)At^2

Projectile Motion
Y velocity at point
Vy = Vsinθ g(t)

First Law of Thermodynamics
The total amount of energy in a system will remain constant; it will be conserved


Kinetic Enegy
KE = (1/2)mv^2

WorkEnergy Theorem
W = ΔKE

Potential Energy
PE = mgh

Mechanical Energy
 ME = PE + KE
 KE1 + PE1 = KE2 + PE2

Escape Velocity
Ve = sqrt(2GM/r)


Latent Heat of Transformation
 Q = mL
 L is heat of fusion for S>L
 L is heat of vap for L>V






Avogadro's Constant
6.022 * 10^23

Linear Expansion
ΔL = α*Li*(ΔT)

Molar Mass
 M = Na * AMU
 Na is avagadro's constant


Universal Gas Constant
R = 8.31 J/molK

0th Law of Thermodynamics
If object 1 and 2 are each in thermal equilibrium with object 3, then objects 1 and 2 are in thermal equilibrium

Ideal Gas Energy
Root Mean Square Speed
 Kavg = (3/2)KbT
 Vrms = sqrt(3RT/M)


Efficiency
Eff = Wout/Win * 100

A collision is elastic if..
 The total kinetic energy is reserved
 //Not likely in real life




Law of Torque
 Tnet = Iα
 //I is moment of inertia
 //α is angular acceleration

Centripetal Acceleration
Ac = v^2/r

Angular Acceleration
α = Δω/Δt

Kepler's 1st Law
The orbit of each planet is an ellipse and the sun is at one focus

Kepler's 2nd Law
An imaginary line from the sun to a moving planet sweeps out equal areas in the same interval of time

Kepler's 3rd Law
The ratio of the square of a planet's period of revolution to the cube of its average distance from the sun is a constant that is the same for all planets. T^2/a^3

Angular Velocity
ω = Δθ/Δt

Conservation of Angular Momentum


Hooke's Law of String
Fs = kx

Simple Harmonic Motion
Elastic Potential Energy
Us = (1/2)kx^2

Simple Harmonic Motion
Period and Frequency
 f = (1/2pi)sqrt(k/m)
 T = 2pi * sqrt(m/k)


Pendulum
Frequency and Period
 f = (1/2pi)sqrt(g/L)
 T = 2pi * sqrt(L/g)

Electrical Field Strength Vector
E = K(Qsource/r^2)

Coulombs's Constant K
K = 9 * 10^9 Nm^2/C^2

Coulomb's Law
Fe = K(q1 * q2)/r^2

Elemental Charge
1.6 * 10^19

Electrical Potential
V = KQ/R

Change in Electrical Potential Energy


Electrical Resistance
Ω = ΔV/I

Electrical Current
I = ΔQ/Δt

Electrical Power
 P = IV
 P = I^2 * R
 P = V^2/R

To get total resistance when resistors are in a series you...
add resistances

To get the total resistance when resistors are in parallel you...
Add the reciprocals then take the reciprocal

The equivalent capacitance of a collection of capacitors is found by...
Adding Them

The total capacitance of capacitors in a series is found by...
Adding reciprocals and taking the reciprocal

Magnetic Force on a current carrying wire
Fb = I * l *Bsinθ

Magnetic Force on a moving charge
Fb = qvBsinθ

Magnetic Field units
 Teslas
 1 Gauss = 10^4 Tesla


Faraday's law of electromagnetic induction
ξ = ΔΦ/Δt

Magnetic Flux
 Φ = BAcosθ
 //A is area
 //B is field strength

Motional ElectroMagnetic Force
ε = vBl

Wave Speed on Stretched String
V = sqrt(Ft(L/m))

Doppler Effect
Fd = fs * ((v±vd)/(v±vs))

Open Pipe Formula
Fn = nv/2L

Closed Pipe Formula
Fn = nv/4L

Sound
Decibels
dB = 10log(I/10^12)

Sound Intensity
 I = P/A
 //P is power
 //A is usually 4pi r^2

Resonant Frequency of String
Fn = nv/2L