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# AP Physics Equations

### A whole crap load of AP Physics equations

Resistance in a wire R = ρ(L/A)
1 ampere 1C/s
Electrical Power (Watt’s Law) P = IV
Electrical Voltage V = IR
Resistance in Series R = R₁ + R₂ + R₃ + ...
Resistance in Parallel 1/R = 1/R₁ + 1/R₂ + 1/R₃ + ...
Single Point Charge E = (kQ)/r²
Electric Potential (some distance from a single point charge) V = (kQ)/r
Parallel Plate Capacitor C = (ε₀)(A)/d
Charge of e⁻ -1.6⋿-19 C
Charge of Proton 1.6⋿-19 C
Electrical Force F = qE
Coulomb’s Law F = k(Q₁Q₂)/r² --> K = 9⋿9 N*m²/C²
Pressure P = P₀ + ρgh
Pressure P(atm) + P = P(gauge)
Volume Flow Rate A₁V₁ = A₂V₂
Bernulis Equation P₁ + ρgy₁ + .5ρV₁² = P₂ + ρgy₂ + .5ρV₂²
Specific Gravity Density of object/Density H₂O
Buoyant Force F = ρ(liquid)*V(submerged)*g
Pascal’s Principal Apparent Weight = True Weight - Buoyant Force
Pressure P = F/A
Density D = m/v
Density H₂O 1000 kg/m²
Heat Engine Efficiency e = W/Q(hot) or e = (Q(hot)-Q(cold))/Q(hot) or e(ideal) = T(hot)-T(cold)/T(hot)
1st Law of Thermodynamics ΔU = Q + W
Isothermal gas gas held at constant temperature (PV=nRT
Adiabatic gas no heat flows in or out (ΔU = W)
Isobaric gas constant pressure (Area under curve = work done)
Isochloric gas constant volume (W = 0, ΔU = 0)
Ideal Gas Law PV=nRT
STP (Standard Temp. and Pressure) 1atm (1⋿5 pa) and 298 *K
Kinetic Energy ΔKE = Δ.5mv²
Thermal Engery ΔU = mgh = .5kx²
Heat ΔQ = mcΔt
Thermal Expansion ΔL = αL₀ΔT
Newton’s 1st Law ΣF = ma
Friction (static) F ≤ μN
Centripetal Acceleration a = v²/r
momentum p = mv
Impulse J = FΔt = Δp
Gravitational Potential Energy ΔU = mgh
Work W = F*s = F*s*cos θ
Average Power P = W/Δt or P = Fv
Force of a Spring F = -kx
Potential Spring Energy U = .5kx²
Period of a Spring T = 2π√(m/k)
Period of a Pendulum T = 2π√(l/g)
Period T = 1/f
Universal Law of Gravitation F = -G(M₁M₂)/r²
Universal Gravitational Constant G = 6.67⋿-11 m³/kg*s²
Atmospheric Pressure 1 atm = 1⋿5 N/m² = 1⋿5 pa
1 Electron Volt 1eV = 1.60⋿-19 J
Universal Gas Constant R = 8.31 J/mol *k