formula

VAT

Vf = V₀ + at

VAX

Vf² = V₀² + 2a∆x

TAX

∆x = v₀t + 1/2at²

centripetal motion (2)

Ac = V²/ r

Fc = mv²/ r

Law of gravitation

F=GM₁M₂/ r²

Newtons second law

Fnet = ma

Kinetic friction

Fk = µkFn (Fn = normal force)

Static friction

Fs≤ µsFn (Fn = normal force)

Torque

t = Frsinθ

Hooke's law

F = -Kx (K= spring const)

Kinetic energy

KE = 1/2 mv²

Gravitational Potential energy

PE = mgh

Spring PE

PE = 1/2 Kx²

power

P = W/t (work/ time)

work

W=Fdcosθ

momentum

p = mv

Conservation of momentum

m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂

Ohms law (2)

P=IV

V=IR (v = volts, I= current, R = resistance, P= power)

current

I = ∆q/ ∆t (q = charge)

Capacitors in sieres

1/Cs = 1/C₁ + 1/C₂ + etc

Capacitors in parallel

Cp = C₁ + C₂ + etc

Resistors in series

Rs = R₁ + R₂ + etc

Resistors in parallel

1/Rp = 1/R₁ + 1/R₂ + etc

Voltage in series

V = V₁+V₂…

Voltage in parallel

V₁=V₂=V₃

Current in series

I₁=I₂=I₃

Current in parallel

I=I₁+I₂…

electrostatic force

F = Kq₁q₂/ r²

electric field

E = F/q (in N/C)

E = (kq)/r²

(k = 9 x 10⁹ N*m²/C²)

E = V/d

Capacitance

C = Q/V

C = κε₀ A / d

κ = dielectric const

ε = permativity (const)

d = dist btwn plates

energy stored by capacitor

U = 1/2CV²

electric field due to point charge

E = kq/ r²

(k = 9 x 10⁹ N*m²/C²)

electrical potential

∆V = ∆U/q = kQ/r

Electric potential energy

U = q∆V = qEd = Fe×d = kQq/r

magnetic field around long straight wire

B = µ₀I/ 2πr (I= current)

Magnetic Force on a Moving Charge

F = qvBsinθ

magnetic force on a current carrying wire

F = ILBsinθ

electrical potential of point charge

V = Kq/r

magnetic field at center of circular loop

B = µ₀I/ 2r

density

p = m/V

pressure

P = F/A

specific gravity

s.g = pobj / pwater (p = density)

osmotic pressure

π = iMRT

where i is # molecules it dissociates into (van't Hoff)

T = temp in K

M = molar concentration (mol/L)

R = universal gas constant

buoyant force

Fb = pVg

total pressure of fluid

Ptot = Patm + Pgauge

continuity equation

A₁V₁ = A₂V₂

Linear expansion (solids)

∆L = αL∆T

Volumetric Expansions (Solids & Liquids)

∆V=βV∆T (β = 3α)

Grahams law

Rate A/Rate B = √MMB/MMA

fluid gauge pressure

Pfluid = pgh

bernoullis equation

P + 1/2pv² + pgh = const

heat energy

∆Q= mc∆T

latent heat

∆Q = mL

1st law of thermodynamics (law of conservation of energy)

∆U = Q-W (work done by the system = W, heat added to the system = Q, internal energy = U)

internal energy of ideal gas

U = 3/2 nRT

gibbs free enegy

∆G = ∆H - T∆S

equilibrium gibbs energy

∆G˚ = -RTlnKeq

wave frequency and period

f = 1/T

spring angular frequency

w= 2πf = √K/m

wave speed

v=fλ

pendulum angular freqency

w = 2πf = √g/L

doppler effect

f = f (v±Vd)/ (v±Vs)

index of refraction

n = c/v

magnification

m = -di/do = hi/ho (i = image o=object)

total internal reflection

sinθcrit = n₂/n₁, n₂<n₁

photon energy

E = hf = hc/λ

snell's law

n₁sinθ₁ = n₂sinθ₂

lensmakers equation

1/f = 1/o + 1/i

ideal gas law

PV = nRT (R=0.083 Latm/molK)

charles law

V₁/T₁ = V₂/T₂

pH

pH = -log [H]

electromotive force

EMF = E⁰red + E⁰ox

Dilution equation

M₁V₁ = M₂V₂

EMF equation

Ecell = Ecathode - Eanode

Boyles law

P₁V₁ = P₂V₂

Avogadros law

n₁/V₁ = n₂/V₂

Hardy-wienbery equations (2)

p+q = 1

P² + 2pq + q² = 1