MCAT Physics Equation Lists (Formulas)
MCAT Physics Equation Lists (Formulas)
Memorize These!
| Translational motion | x = x 0 + v 0 t + at2/2 | Vƒ = Vo + at |
| Frictional force | f max = μ Ν | μk < μs |
| Uniform circular motion | Fc = mac = mv2 /r | ac= v2 /r |
| Momentum, Impulse | I = F Δt = ΔM | M = mv |
| Work, Power | W = F d cosθ | P = ΔW/Δt |
| | ET = Ek + Ep | E = mc2 |
| Spring Force, Work | F = -kx | W = kx2 /2 |
| Continuity (fluids) | A v = const. | ρAv = const. |
| Current and Resistance | I = Q/t | R = ρL/A |
| Resistors (series, par.) | Req = R1 + R2 . . . | 1/ Req = 1/ R1 +1/ R2 |
| Sound | dB = 10 log 10 (I/I0 ) | beats = Δ f |
| Kirchoff's Laws | Σi = 0 at a junction | ΣΔV = 0 in a loop |
| Thermodynamics | Q = mc Δ T | Q = mL |
| Torque forces | L1 = F1× r1 | L2 = F2 × r2 |
| Torque force at EQ | ΣFx = 0 and ΣFy = 0 | ΣL = 0 |
| Refraction | ( sin θ1 )/(sin θ2 ) = v1 /v2 = n2 /n1 = λ1 /λ2 | n = c/v |
Memorize as Pairs
| F = ma | F = qE | Similar Form |
| F = KG ( m1 m2 / r2 ) | F = k ( q1 q2 / r2 ) | |
| V = IR | P = IV | Paired Use |
| vav = Δ d / Δ t | aav = Δ v / Δ t | (avg vel, acc) |
| v = λ f | E = hf | (f = 1/T) |
| Ek = ½mv2 | Ep = mgh | (kin, pot E) |
| Ρ = F/A | Δ Ρ = ρgΔh | (pressure Ρ) |
| SG = ρ substance / ρ water | ρ = 1 g/cm3 = 103 kg/m3 | (Spec Grav) |
| ρ = mass / volume | Fb = Vρg = mg | (buoyant F) |
| Irms = Imax / √2 | Vrms = Vmax / √2 | Root Mean Sq |
| 1/ i + 1/ o = 1/ f = 2/r = Power | M = magnification = - i/o | Optics |
| Note: Specific gravity (SG) is equivalent to the fraction of the height of a buoyant object below the surface of the fluid. | ||
Don't Memorize, Know How to Use...
| Ρ + ρgh + 1/2 ρv2 = constant | Bernouilli's Equation | Fluids in Motion |
| L = L0 (1 + αΔ T ) | Linear Expansion | Solids, Temp Δ |
| A = A0(1 + γΔ T ) | Area Expansion | |
| V = V0(1 + βΔ T ) | Volume Expansion | β = 3 α |
| fo = fs (V ± vo )/ ( V ± vs ) | Doppler Effect: when d is decreasing use + vo and - vs | |
| V = Ed for a parallel plate capacitor | d = the distance between the plates | |
| dF = dq v(B sin α) = I dl(B sin α) | Laplace's Law | RH rule |
| 1/ Ceq = 1/ C1 + 1/ C2 + 1/ C3 . . . | Capacitors in Ser. and Par. | Ceq = C1 + C2 . . . |
| Potential Energy ( PE ) = W = 1/2 QV | Work in | W = 1/2 CV2 |
| ΔG = ΔH - TΔS | Gibbs | ΔG° = -RTln Keq |
Atomic Physics
| 1) alpha (α) particle = 2He4 (helium nucleus); 2) beta (β) particle = -1e0 (an electron); 3) a positron +1e0 (same mass as an electron but opposite charge); 4) gamma (γ) ray = no mass, no charge, just electromagnetic energy; 5) Δ m /Δ t = rate of decay where Δ m = change in mass, Δ t = change in time. 6) If the number of half-lifes n are known we can calculate the percentage of a pure radioactive sample left after undergoing decay since the fraction remaining = (1/2) n . Nelectrons = 2 n2 , where Nelectrons designates the number of electrons in shell n . The state of each electron is determined by the four quantum numbers:
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The Basics
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Some Units to Memorize
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