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Physics Equations
| Question | Answer |
|---|---|
| Write the Displacement Kinematics Equation | -- |
| Write the Displacement Vf One Equation | -- |
| Write the Displacement Vf Two Equation | -- |
| Write the Displacement Velocity Equation | -- |
| Write the Delta Y Free Fall Equation | -- |
| Write the Vy Free Fall Equation | -- |
| Write the Vy^2 Free Fall Equation | -- |
| Write the Projectile Motion (Horizontal Direction) Equation | -- |
| Write the Maximum Height Equation | -- |
| Write the Maximum Range Equation | -- |
| Write the Total Flight Time Equation | -- |
| Write the Weight Formula | -- |
| Write the Static Friction Equation | -- |
| Write the Kinetic Friction Equation | -- |
| Write the Viy and Vi Relation Equation | -- |
| Write the Torque Equation | -- |
| When an object is thrown horizontally from a certain height, you would use two equations to determine how far it goes... | -- |
| Work | -- |
| Power | -- |
| Efficiency | -- |
| Kinetic Energy | -- |
| Work-Energy Theorem | -- |
| Gravitational PE (near Earth) | -- |
| Gravitational PE (far from Earth) | -- |
| Elastic PE | -- |
| Mechanical Energy | -- |
| Conservation of Energy (conservative forces only) | -- |
| Mechanical Energy with Nonconservative Forces | -- |
| Linear Momentum | -- |
| Impulse | -- |
| Center of Mass (two objects) | -- |
| Center of Mass (multiple objects) | -- |
| Angle of rotation | -- |
| Unit conversion for angular rotation | -- |
| Angular velocity | -- |
| Tangential velocity | -- |
| Angular acceleration | -- |
| Four Rotational kinematics equations | -- |
| Linear-rotational relationships | -- |
| Angular momentum | -- |
| Moment of inertia (point mass) | -- |
| Moment of inertia formulas (Hoop) | -- |
| Moment of inertia formulas (Solid Cylinder/Disk) | -- |
| Moment of inertia formulas (Solid Sphere) | -- |
| Rotational kinetic energy | -- |
| Work-energy theorem | -- |
| Newton's Second Law (rotational) | -- |
| Centripetal acceleration | -- |
| Centripetal force | -- |
| Newton's Universal Law of Gravitation | -- |
| Weight in gravitational context | -- |
| Gravitational acceleration | -- |
| Hooke's Law | -- |
| Vertical Spring Equilibrium | -- |
| Period & Frequency Relationship | -- |
| Angular Frequency | -- |
| Spring Period | -- |
| Spring Frequency | -- |
| Maximum Speed (Spring) | -- |
| Maximum Acceleration (Spring) | -- |
| Pendulum Period | -- |
| Pendulum Frequency | -- |
| Pendulum Restoring Force | -- |
| Elastic Potential Energy | -- |
| Total Mechanical Energy (String) | -- |
| ME at Maximum Displacement | -- |
| ME at Equilibrium | -- |
| Position Functions for Simple Harmonic Motion | -- |
| Wave velocity (ON SCREEN) | v = λf = λ/T |
| Speed of a wave in a string (ON SCREEN) | v = √(T/μ) (T = tension in N, μ = mass per unit length in kg/m) |
| Speed of sound (ON SCREEN) | v = 331 + 0.61T (T = temperature in °C) |
| Sound intensity (ON SCREEN) | I = P/A (P = power in W, A = area in m²) |
| Sound intensity level (decibels) (ON SCREEN) | β = 10 log₁₀(I₁/I₀) (I₀ = 1×10⁻¹² W/m²) |
| Observed frequency (Doppler Effect) (ON SCREEN) | f₀ = fₛ × (v + v₀)/(v + vₛ) |
| Beat frequency (ON SCREEN) | f_beat = |f₁ − f₂| |
| String fixed at both ends / Pipe open at both ends (ON SCREEN) | λ = 2L/n f = nv/2L (n = 1, 2, 3, …) |
| Pipe open at one end (ON SCREEN) | λ = 4L/n f = nv/4L (n = 1, 3, 5, … odd only) |
| What is the formula for density? (ON SCREEN) | ρ = m/V (kg/m³). Note: 1 g/cm³ = 1000 kg/m³. |
| What is the formula for weight extended to density (ON SCREEN)? | W = mg. Extended using density: W = ρVg. |
| What is the formula for buoyant force? (ON SCREEN) | F_buoy = ρ_fluid × V_displaced × g. |
| What is the formula for specific gravity? (ON SCREEN) | SG = ρ_obj / ρ_H₂O. Reference density of water = 1000 kg/m³ at 4°C. |
| What is the formula for pressure? (ON SCREEN) | P = F/A (Pa). |
| What is the formula for hydrostatic pressure? (ON SCREEN) | P = ρgh, where ρ is fluid density, g = 10 m/s², and h is depth in meters. |
| What is the formula for absolute pressure? (ON SCREEN) | P_abs = P_atm + P_gauge. Standard P_atm = 101.3 kPa = 1.013 × 10⁵ Pa = 1 atm. |
| What is the hydraulic system formula derived from Pascal's Principle? (ON SCREEN) | F₁/A₁ = F₂/A₂, since P₁ = P₂. |
| What is the formula for stress? (ON SCREEN) | σ = F⊥/A (Pa or N/m²). |
| What is the formula for strain? (ON SCREEN) | ε = Δl/l₀ (dimensionless). |
| What is the formula for Young's Modulus? (ON SCREEN) | Y = σ/ε (Pa or N/m²). |
| What is the formula for Archimedes' Principle? (ON SCREEN) | F_buoy = ρ_fluid × V_displaced × g. For a partially submerged object, V_displaced = V_submerged. For a completely submerged object, pVsubg = pVdisg |
| What is the formula for liquid pressure? (ON SCREEN) | P = Po + pgh |
| What is the formula for conservation of flow/equation of continuity? (ON SCREEN) | A1v1 = A2v2 |
| Volume to cross section conversion (ON SCREEN) | V = length * cross sectional area |
| How to find Fnet using buoyant force? (ON SCREEN) | Remember that the Fb and the Fg will often be working opposite to each other. Fnet = Fb - Fg. |
| A 4 kg gold sphere (ρgold = 20 000 kg/m3) is fully submerged in oil (ρoil = 700 kg/m3). What is the buoyant force acting on the sphere? (ON SCREEN) | You would use the ρ of the oil for fluid and find V from the gold, then multiply by 10. |
| What's a common value for atmospheric pressure? (ON SCREEN) | 100,000 N/m^2 |
| Temperature Conversions (ON SCREEN) | TK = TC + 273.15 TF = (9/5)TC + 32 |
| Thermal Expansion (ON SCREEN) | Δl = αl₀ΔT |
| Average Kinetic Energy in Thermodynamics (ON SCREEN) | Kavg = (3/2)KBT = (3R/2N)T Kavg = (1/2)mv² |
| Heat Conduction Rate (ON SCREEN) | Q = KAΔT/Δx |
| First Law of Thermodynamics: (ON SCREEN) | ΔU = Q − W |
| Thermodynamic Process Simplifications: (ON SCREEN) | Isothermal (ΔU = 0): W = Q Adiabatic (Q = 0): ΔU = −W Isochoric (W = 0): ΔU = Q Isobaric: ΔU = Q − W |
| Isobaric Work: (ON SCREEN) | W = PΔV |
| Entropy (ON SCREEN) | ΔS = Q/T |
| Coulomb's Law (ON SCREEN) | F = kQ₁Q₂ / r² |
| Electric Field (ON SCREEN) | E = kQ / r² |
| Electric Force from a Field (ON SCREEN) | F = qE |
| Electric Potential (ON SCREEN) | V = kQ / r |
| Potential Difference (ON SCREEN) | ΔV = V_B − V_A |
| Electric Potential Energy (ON SCREEN) | U = qΔV |
| Work Done by an Electric Field (ON SCREEN) | W = −ΔU = −qΔV |
| k = (ON SCREEN) | 9×10⁹ N·m²/C² |
| Elementary charge (e) = (ON SCREEN) | 1.60×10⁻¹⁹ C |
| Malus's Law (ON SCREEN) | I = Io cos^2(θ) |
| CURRENT (ON SCREEN) | I = ΔQ / Δt |
| OHM'S LAW (ON SCREEN) | V = IR |
| RESISTANCE (ON SCREEN) | R = ρL / A |
| POWER (ALL FOUR RESISTANCE EQUATIONS - ON SCREEN) | P = IV P = I²R P = V² / R P = E / t |
| KIRCHHOFF'S RULES (ON SCREEN) | ΣV = 0 (Loop Rule) ΣI_in = ΣI_out (Junction Rule) |
| RESISTORS IN SERIES (ON SCREEN) | R_total = R1 + R2 + R3 + … + Rn |
| RESISTORS IN PARALLEL (ON SCREEN) | 1/R_total = 1/R1 + 1/R2 + 1/R3 + … + 1/Rn |
| CURRENT DIVIDER PARALLEL (ON SCREEN) | I_branch = I_total × (opposite R / sum of the two R's) |
| CAPACITOR CHARGE (ON SCREEN) | Q = CV |
| ENERGY IN A CAPACITOR (ALL THREE EQUATIONS - ON SCREEN) | Uc = ½QV Uc = ½C(V)² Uc = ½(Q² / C) |
| CAPACITORS IN SERIES (ON SCREEN) | 1/C_total = 1/C1 + 1/C2 + 1/C3 + … + 1/Cn |
| CAPACITORS IN PARALLEL (ON SCREEN) | C_total = C1 + C2 + C3 + … + Cn |
| Index of refraction (ON SCREEN) | n = c/v |
| Snell's Law (ON SCREEN) | n₁sinθ₁ = n₂sinθ₂ |
| Critical angle (ON SCREEN) | sinθc = n₂/n₁ |
| Focal length (ON SCREEN) | f = R/2 |
| Thin lens / mirror equation (ON SCREEN) | 1/f = 1/do + 1/di |
| Magnification (ON SCREEN) | M = −di/do = hi/ho |
| Lens power (ON SCREEN) | P = 1/f |
| A dropped object starts from rest. What kinematic equation simplifies the free fall distance? (ON SCREEN) | Since v_i = 0, equation 1 simplifies to: Δy = ½·g·t². The direction is negative if you define downward as negative. |