Trust me I dont understand any of this stuff except for the simple ones

I, only a 14 year old asian ;-; so here you are

(PS expect alot of stuff below)

Mechanics
velocityaccelerationequations of motionnewton's 2nd law
v = Δs
Δt
a = Δv
Δt
v = v0 + at∑ F = m a
x = x0 + v0t + ½at2
∑ F = dp
dt
v = ds
dt
a = dv
dt
v2 = v02 + 2a(x − x0)
v = ½(v + v0)
weightcentrip. accel.momentumefficiency
W = m g
ac = v2
r
p = m v
ℰ = Wout
Ein
dry friction
ƒ = μNac = − ω2 r
impulseimpulse–momentumworkwork–energy
J = F ΔtF Δt = m ΔvW = FΔs cos θFΔs cos θ = ΔE
J = ⌠
⌡F dt
⌠
⌡F dt = Δp
W = ⌠
⌡F · ds
⌠
⌡F · ds = ΔE
kinetic energypotential energypower
K = ½mv2
ΔU = − ⌠
⌡F · ds
P = ΔW
Δt
P = dW
dt
gravitational p.e.
ΔUg = mgΔhF = − ∇UP = Fv cos θP = F · v
angular velocityangular accelerationequations of rotation2nd law for rotation
ω = Δθ
Δt
α = Δω
Δt
ω = ω0 + αt∑ τ = I α
θ = θ0 + ω0t + ½αt2
∑ τ = dL
dt
ω = dθ
dt
α = dω
dt
ω2 = ω02 + 2α(θ − θ0)
ω = ½(ω + ω0)
v = ω × ra = α × r − ω2 r
torquemoment of inertiarotational workrotational power
τ = rF sin θI = ∑ mr2W = τΔθP = τω cos θ
τ = r × F
I = ⌠
⌡ r2 dm
W = ⌠
⌡ τ · dθ
P = τ · ω
rotational k.e.angular momentumfrequencyhooke's law
K = ½Iω2L = mrv sin θ
ƒ = 1
T
F = − k Δx
L = r × pelastic p.e.
L = I ωω = 2πƒUs = ½kΔx2
universal gravitationgravitational fieldgravitational p.e.gravitational potential
Fg = − Gm1m2 r̂
r2
g = − Gm r̂
r2
Ug = − Gm1m2
r
Vg = − Gm
r
orbital speedescape speeds.h.o.simple pendulum
v = √ Gm
r
v = √ 2Gm
r
T = 2π √ m
k
T = 2π √ ℓ
g
densitypressurepressure in a fluidbuoyancy
ρ = m
V
P = F
A
P = P0 + ρghB = ρgVdisplaced
volume flow ratemass flow ratevolume continuitymass continuity
φ = V
t
I = m
t
A1v1 = A2v2ρ1A1v1 = ρ2A2v2
bernoulli's equationaerodynamic dragkinematic viscosity
P1 + ρgy1 + ½ρv12 = P2 + ρgy2 + ½ρv12R = ½ρCAv2
ν = η
ρ
dynamic viscosityreynolds numbermach numberfroude number
η = F/A
Δvx/Δz
Re = ρvD
η
Ma = v
c
Fr = v
√gℓ
η = F/A
dvx/dz
young's modulusshear modulusbulk modulussurface tension
F = Y Δℓ
Aℓ0
F = S Δx
Ay
F = B ΔV
AV0
γ = F
ℓ
Thermal Physics
solid expansionliquid expansionsensible heatideal gas law
Δℓ = αℓ0ΔTΔV = βV0ΔTQ = mcΔTPV = nRT
ΔA = 2αA0ΔTlatent heatmolecular constants
ΔV = 3αV0ΔTQ = mLnR =Nk
maxwell-boltzmannmolecular k.e.molecular speed
− mv2
p(v) = 4v2⎛
⎝m⎞3/2
⎠e2kT
√π2kT
⟨K⟩ = 3 kT
2
vp = √ 2kT
m
⟨v⟩ = √ 8kT
πm
vrms = √ 3kT
m
heat flow ratethermal conductionstefan-boltzmann lawwien displacement law
Φ = ΔQ
Δt
Φ = dQ
dt
Φ = kAΔT
ℓ
Φ = εσA(T4 − T04)
λmax = b
T
internal energythermodynamic workfirst lawentropy
ΔU = 3/2nRΔT
W = −⌠
⌡P dV
ΔU = Q + W
ΔS = ΔQ
T
S = k log w
efficiencycoefficient of performance
ℰreal = 1 − QC
QH
ℰideal = 1 − TC
TH
COPreal = QC
QH − QC
COPideal = TC
TH − TC
Waves & Optics
periodic wavesfrequencybeat frequencyintensity
v = ƒλ
ƒ = 1
T
fbeat = fhigh − flow
I = ⟨P⟩
A
power levelinterference fringes
β = 10 log I = 20 log P
I0P0
nλ = d sin θ
nλ ≈ x
dL
index of refractionsnell's lawmirrors and lensesspherical mirrors
n = c
v
n1 sin θ1 = n2 sin θ2
1 = 1 + 1
ƒdodi
ƒ = r
2
critical angle
sin θc = n2
n1
M = hi = di
hodo
Electricity & Magnetism
coulomb's lawelectric field
F = k q1q2
r2
E = Fe
q
E = k ∑ q r̂
r2
E = k ⌠
⌡dq r̂
r2
field and potentialelectric potential
E = − ∆V
d
ΔV = ΔUE
q
V = k ∑ q
r
V = k ⌠
⌡dq
r
E = − ∇V
capacitanceplate capacitorcylindrical capacitorspherical capacitor
C = Q
V
C = κε0A
d
C = 2πκε0ℓ
ln (b/a)
C = 4πκε0
(1/a) − (1/b)
capacitive p.e.electric current
U = 1 CV2 = 1Q2 = 1 QV
22C2
I = Δq
Δt
I = dq
dt
ohm's lawresitivity–conductivityelectric resistanceelectric power
V = IR
ρ = 1
σ
R = ρℓ
A
P = VI = I2R = V2
R
E = ρ J
J = σE
resistors in seriesresistors in parallelcapacitors in seriescapacitors in parallel
Rs = ∑ Ri
1 = ∑ 1
RpRi
1 = ∑ 1
CsCi
Cp = ∑ Ci
magnetic force
FB = qvB sin θFB = q v × BFB = IℓB sin θdFB = I dℓ × B
biot-savart lawsolenoidstraight wireparallel wires
B = μ0I⌠
⌡ds × r̂
4πr2
B = µ0nI
B = μ0I
2πr
FB = μ0I1I2
ℓ2πr
motional emfelectric fluxmagnetic fluxinduced emf
V = BℓvΦE = EA cos θΦB = BA cos θ
ℰ = − ΔΦB
Δt
ℰ = − dΦB
dt
ΦE = ⌠
⌡E · dA
ΦB = ⌠
⌡B · dA
gauss's lawno one's lawfaraday's lawampere's law
∯ E · dA = Q
ε0
∯ B · dA =0
∮E · ds = − dΦB
dt
∮B · ds = μ0ε0 dΦE + μ0I
dt
∇ · E = ρ
ε0
∇ · B =0
∇ × E = − ∂B
∂t
∇ × B = μ0ε0 ∂E + μ0 J
∂t
Modern Physics
time dilationlength contractionrelativistic massrelative velocity
t' = t
√(1 − v2/c2)
ℓ' = ℓ √(1 − v2/c2)
m' = m
√(1 − v2/c2)
u' = u + v
1 + uv/c2
relativistic energyrelativistic momentumenergy-momentummass-energy
E = mc2
√(1 − v2/c2)
p = mv
√(1 − v2/c2)
E2 = p2c2 + (mc2)2E = mc2
relativistic doppler effectphoton energyphotoelectric effectphoton momentum
λ0 = ƒ = √ ⎛
⎝1 − v/c⎞
⎠
λƒ01 + v/c
E = hfKmax = E − ϕ = h(ƒ − ƒ0)
p = h
λ
schroedinger's equationuncertainty principlerydberg equation
iℏ ∂ Ψ(r, t) = − ℏ2 ∇2Ψ(r, t) + V(r)Ψ(r, t)
∂t2m
Δpx Δx ≥ ℏ
2
1 = −R∞ ⎛
⎝1 − 1⎞
⎠
λn2n02
Eψ(r) = − ℏ2 ∇2ψ(r) + V(r)ψ(r)
2m
ΔE Δt ≥ ℏ
2
half life
N = N02−t/τ