Formulae for the MCAT

Note: This list may not be exhaustive. Examinees should understand these formulae. Not all of them need to be memorized though.
Judgement should be used in deciding which to
memorize.
PDF file: Formulae for the MCAT
Physics

v = u + at
v² = u² + 2as
s = ut + ½at²
F = ma
F = Gm_{1}m_{2}/r^{2}
a = v^{2}/r
Static friction = F_{N} m_{S}
Dynamic friction =F_{N} m_{D}
MA = load/effort= number of supporting ropes in a frictionless pulley system
VR = distance moved by effort / distance moved by load= number of supporting ropes
Efficiency = work out / work in
Moment = F x perpendicular distance to pivot point
Momentum = mv
Smv before collision = Smv after collision
Impulse = Ft
PE = mgh
KE = ½mv^{2}
Work done = Fd
Power = Fd/t
Dl = kF
Y = stress / strain = (F/A) / (Dl/l)
S = stress / strain = (perpendicular F/A) / (Dx/l)
B = stress / strain = DP / (DV/V)
f µ Ö (k/m)
T = 2p Ö (l/g)
r = m/V
Upward force on a body = weight of fluid displaced by that body
Hydrostatic pressure = rgh
r_{1}A_{1}v_{1} = r_{2}A_{2}v_{2}
P_{1} + rgh_{1} + ½rv_{1}^{2} = P_{2} + rgh_{2} + ½rv_{2}^{2}
Velocity of sound in a fluid, v = Ö (B/r)
v µ Ö (T/mw)
Velocity of sound in a solid = Ö (Y/r)
Velocity of a wave in a taut string= Ö (tension/[mass/length])
dB = 10log_{10}(I/I_{0})
Beat frequency = difference between the two frequencies
f' = f(C±Vd / C±Vs)
F = kq_{1}q_{2}/r²
E = F/q
 Between two parallel plates, E = V/d
Concerning a point charge, E = kq/r²
V = Fd/q
V = IR
For resistors in series, R_{T} = R_{1} + R_{2} + R_{3} + ...
For resistors in parallel, 1/R_{T} = 1/R_{1} + 1/R_{2} + 1/R_{3} + ...
Resistivity = RA/l
C = q/V = permitivity x A/d
For capacitors in series, 1/C_{T} = 1/C_{1} + 1/C_{2} + 1/C_{3} + ...
For capacitors in parallel, C_{T} = C_{1} + C_{2} + C_{3} + ...
P = IV
If a.c., P = (I_{max}/Ö2) (V_{max}/Ö2) = I_{max} V_{max}/2
n_{1}sin i = n_{2}sin r
1/f = 1/u + 1/v
Lens power = 1/f
where f is the focal length in m. Lens power is measured in diopters.
Two lenses in contact:
1/F = 1/f_{1} + 1/f_{2}
E = hf
A_{t} = A_{o}e^{kt}
t½ = ln2/k
General Chemistry

Number of moles = mass in grams / molecular weight
PV = nRT
KE µ T
v µ Ö(T/mw)
P_{T} = P_{1} + P_{2} + P_{3} + ...
P = mole fraction of solvent x Po
DP = mole fraction of solute x Po
DT_{BP}= k_{b} (molality of solute particles)
DT_{FP} = k_{f} (molality of solute particles)
Osmotic Pressure = RT [molarity of solute particles]
pH = log_{10}[H^{+}]
pOH = log_{10}[OH^{}]
K_{w} = [H^{+}] [OH^{}] = 10^{14} (at 25^{o}C)
K_{a} = [H^{+}] [A^{}] / [HA]
pK_{a} = log_{10}K_{a}
K_{b} = [HA] [OH^{}] / [A^{}]
pK_{b} = log_{10}K_{b}
K_{a} K_{b} = 10^{14}
pK_{a} + pK_{b} = pK_{w} = 14
pH = pK_{a} + log_{10}[A^{}]/[HA]
DE = q  w
DG = DH  TDS
DG = DG° + RTlnQ
K_{eq} = e^{DG°/RT}
Reaction Order  dA/dt  Integrated Forms 
0  dA/dt =k  A_{t} = A_{0}  kt 
1  dA/dt =kA  A_{t} = A_{0}e^{kt} 
2  dA/dt =kA^{2}  1/A_{t} = (1/A_{0}) + kt 
E = E°  (RT/nF)lnQ
= E°  (0.026/n)lnQ
K_{eq} = e^{nFE°/RT}
DG° = nFE°
Biology

p^{2} + 2pq + q^{2} = 1