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# AP Physics Equations

### A whole crap load of AP Physics equations

Question | Answer |
---|---|

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 |

Avogadro’s Number | 6.02⋿-23 J/K |

pico | 10⁻¹² |

nano | 10⁻⁹ |

micro | 10⁻⁶ |