# MCAT Physics Equations Flashcards

Terms Definitions
 Impulse J=F*t=Δp Stress F/A Bernoulli's Equation P₁+ρv₁²/2+ρgy₁=P₂+ρv₂²/2+ρgy₂, where P=absolute pressure, ρ=density, and y=height relative to reference height Continuity Equation v₁A₁=v₂A₂ F-restoring (pendulum) =mgsin∅ Gamma decay nothing!! Capacitors in Parallel C=C₁+C₂+C₃+... electric potential (V) =KQ/r Magnetism F = qvBsinθ Irms Imax / sqroot2 Vmax Vrms * sqroot2 Vrms Vmax / sqroot2 +Beta decay (positron) -0 -1 Power dissipation by Resistor P=iV=i²R=V²/R Simple Harmonic Motion: acceleration a=-ω²x Buoyant Force F(buoyant) = ρVg Final Velocity Vi + at Centripital Force Mass * Acceleration or (mass)(velocity)^2 / (radius) Capacitance C=Q/V, in Farads, 1 F=1C/V Simple Harmonic Motion: Linear Restoring Force F=-kx Wave variable relationships v=fλ=ω/k=λ/T; k=2π/λ, ω=2πf=2π/T fundamental frequency (one end fixed/one end free) =v/4L Torque τ = F ∙ l Newton's Second Law F = ma Rest Mass Energy E = mc² Average Velocity 1/2 (Vi + Vf) Intensity I = Power / area Speed of Light c = 3x10^8 Kinetic Nrg KE = 1/2 (mass)(velocity)^2 Density ρ = mass / volume Linear Motion, V, Vo, a, x V²=V₀²+2aΔx Force ∑F=m*a, in newtons 1 N=1 kg*m/s² Photon Energy E=hf, where h=6.626E-34 (Planck's constant) Wave Period T = 1 / f Lens Power P = 1 / f Decay Constant λ=ln2/T, where T is half life Kinetic friction f=μN, where N=normal force and μ=friction coefficient power (lenses) =1/f; f= focal length, units: diopters Average Speed Average v = (v + vₒ)/2 Voltage in a constant EF V = Ed Definition of Pressure P ≡ F / A Definition of Stress Stress = F / A Work done by gas expansion W = P*ΔV Focal length F = radius curve / 2 Volume Thermal Expansion ΔV = β V ΔT Magnification m=-i/o, i is distance of image from mirror, o distance object from mirror Inclined Planes F = mg sinθ Fn = mg cosθ Half-Open Wave Harmonic L = nλ / 4 Where n=1,3,5... Snell's law of refraction n1 sinθ1 = n2 sinθ2 Hookes Law (Force of spring) F = -k x Capacitors in Series 1/C effective = 1/C1 + 1/C2 +... Three Moduli of Elasticity Young's: E, tensile stress Shear: G, shear stress Bulk: B, compression and expansion Coulomb's Law (Force b/n charges) F = (k*q1*q2) / r^2 EMR through a Medium n = c / v n₁sinθ₁ = n₂sinθ₂ Object and image formula 1/o + 1/i = 1/f = 2/r Heat of Transformation Q=mL, where L is the heat required to change phase of 1 kg of substance Definition of Velocity v = d / t where d is displacement Doppler Effect f(o) = f(s) [v ± v(o)] / [v ± v(s)] Both v values are positive if moving in the same direction as the wave 1st Law of Thermodynamics ΔU = Q - W (Q=heat nrg and W=work) Electric Field due to a Point Charge E = k q₁ / r² Linear Motion Equations x = xₒ + vₒt + ½at² v = vₒ + at v² = vₒ² + 2ax Power Work/time Centripetal Force F=ma=mv²/r electric force =(kQ₁Q₂)/r² Resistors in Series R=R₁+R₂+R₃+... electric potential energy =(kQ₁Q₂)/r Momentum p = mv Imax Irms * sqroot2 Work F d cosθ Alpha Particle decay -4 -2 vmax (simple harmonic motion) =A√(k/m) Hooke's Law F = -kΔx Average Acceleration ΔV / Δt Gravitational Force F = (G*m1*m2)/r^2 Celsius C = K -273 Current i=Δq/Δt, in Ampere, 1 A=1C/s Speed of Wave v=fλ, where λ=wavelength Potential Energy U=mgh, measured in joules fundamental frequency (both ends fixed/free) =v/2L Energy: Gravitational Potential UEg = mgh Decibels β = 10 log (I/Iₒ) Velocity of wave V = fλ Displacement ΔX = Vi*t + 1/2(at^2) Power in circuits P = IV Linear Motion, V, Vo, a, t V=V₀+at Pressure P=F/A, in Pascals, 1 Pa=1 N/m² Gravity F=Gm₁m₂/r², where G is the gravitational constant Angular Frequency ω=√(k/m)=√(g/L); k/m for spring, g/L for pendulum Beat Frequency f(beat) = |f₁ - f₂| Electric Field E = k*q / r^2 right-hand rule hand on plane with forefingers pointing B and thumb pointing qv, F will come out of palm Coulomb's Law F = k q₁q₂ / r² Thin Lens Equation 1/f = 1/do + 1/di Centripetal Acceleration Centripetal a = v² / r Mass Flow Rate I = ρQ = ρAv Period of Pendulum T = 2π sqroot (L/g) Elastic Collisions p(initial) + K(initial) = p(final) + K(final) angular freq of pendulum ω = sq root (g/L) Potential Nrg U = mass * gravity * height Electric Potential V=W/q₀, W is work needed to move test charge Projectile Peak Height v = √(2gh) where vₒ must be zero Modulus of Elasticity Modulus of Elasticity = stress / strain Force of B Field on charge q v B sinθ Force for Current-carrying Wire F=iLBsinθ, for wire length L carrying i at angle θ to B Potential Energy in a constant EF U = qEd = Vq Force of Wire with current F = I L B sinθ (current*length*Bfield) Voltage due to a Point Charge V = k q₁ / r 2nd Law of Thermodynamics ΔS of closed system will increase or remain unchanged Resistor Equations V = iR P = iV P = i²R P = V² / R Boyant Force FB= ρ g V (where V is the volume of the object and ρ is the density of the liquid) Alternating Current Equations V max = √(2) V rms i max = √(2) i rms
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