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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
Work
W = Fdcosθ
W = Fd
W = MAD
Kinetic Enegy
KE = (1/2)mv^2
Work-Energy Theorem
W = ΔKE
Potential Energy
PE = mgh
Mechanical Energy
ME = PE + KE
KE1 + PE1 = KE2 + PE2
Escape Velocity
Ve = sqrt(2GM/r)
Power
P = W/t
Latent Heat of Transformation
Q = mL
L is heat of fusion for S->L
L is heat of vap for L->V
Calorie
1c = 4.18J
Heat
Q = mCΔT
Kelvin
K = C + 273
Volume Expansion
ΔV = β*Vi*ΔT
β = 3α
Pressure
P = F/Area
Avogadro's Constant
6.022 * 10^23
Linear Expansion
ΔL = α*Li*(ΔT)
Molar Mass
M = Na * AMU
Na is avagadro's constant
Ideal Gas Law
PV = nRT
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)
Work(Pressure)
W = PΔV
Efficiency
Eff = Wout/Win * 100
A collision is elastic if..
The total kinetic energy is reserved
//Not likely in real life
Impulse Momentum Theorem
J = FΔt
J = Δp
Linear Momentum
p = mv
Torque
τ = r*F*sinθ
τ = L * F
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
τnet = ΔL/Δt
//L = mrv
Angular Momentum
L = rmv
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)
Period and Frequency
T = 1/f
f = 1/T
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
ΔV = qΔΦ
ΔV = qV
Capacitance
C = Q/V
Electrical Resistance
Ω = ΔV/I
Electrical Current
I = ΔQ/Δt
Electrical Power
P = IV
P = I^2 * R
P = V^2/R
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