Chem/Phys Equations and Techniques Flashcards
Translational motion
∆x = vot + 1/2at2
(Vƒ)2 = (Vo)2 + 2ad
Vƒ = Vo + at
Frictional force
fmax = μ Ν
- N= normal force
- u= coefficient of friction
μk < μs always
Uniform circular motion
Fc = mac = mv2 /r
ac= v2 /r
Momentum, Impulse
I = F Δt = ΔM
- applied force x time
M = mv
- mass x velocity
Impulse is the change of momentum of an object when the object is acted upon by a force for an interval of time. So, with impulse, you can calculate the change in momentum, or you can use impulse to calculate the average impact force of a collision. A longer collision or impact time translates to a smaller force.
Work
W = F d cosθ
W = ∆KE
W = -P∆V
Joules
Energy (conservation)
ET = Ek + Ep
Spring Force, Work
F = -kx
W = kx2 /2

Current, Resistivity, Resistance
I = Q/t
- Current = quantity of charge / time
R = ρL/A
- resistivity = p (resistivity of wire) x Length of wire / cross sectional area of wire
V = IR
- Voltage = current x resistance
Resistors (series)
Req = R1 + R2 . . .
Resistors (parallel)
1/ Rtot = 1/ R1 + 1/ R2
Capacitors in Ser.
1/ Ceq = 1/ C1 + 1/ C2 + 1/ C3
Capacitors in parallel
Ceq = C1 + C2 . .
Sound
dB = 10 log10 (I/I0)
- I = intensity
- Io = minimum threshold of human hearing
beats = Δ ƒ
Thermodynamics and changing phases
Q = mc Δ T (MCAT)
- c= specific heat
- The specific heat is the amount of heat necessary to change the temperature of 1.00 kg of mass by 1.00ºC.
Q = mL
- m= mass
- L = specific latent heat
- the amount of energy required to change the state of 1 kilogram (kg) of a material without changing its temperature. … latent heat of vaporisation - the amount of energy needed to boil or condense the material at its boiling point.
Coulomb’s Law:
F = k∙(q1q2/r2)
This law quantifies the force between two electrically charges particles. The electrical force (F) of repulsion or attraction between the particles is proportional to the product of the charges (q) and is inversely proportional to the square of the distance between them (r2). In this equation, k is Coulomb’s constant.
Kinetic and potential energy
Ek = 1/2 mv2
Ep = mgh
Ρressure
Pressure under water
P = F/A
ΔΡ = ρgΔh
p = fluid density
Specific Gravity
SG = ρ substance / ρ water (relative density)
ρ of water= 1 g/cm3 = 103 kg/m3
Density
Buoyant force
ρ = mass / volume
Fb = ρgV
- density of the fluid, gravity, volume of the object
If an object has a specific gravity of .92 (like ice), 92% of the object will be submerged in water
Optics power and magnification, total magnification
Power = 1/ i + 1/ o = 1/ f = 2/r
- f = focal length
- the power of a converging lens is positive and that of the diverging lens is negative.
M = magnification = - i/o
- image/object
mtotal= m1 x m2….
Gibbs Free Energy (standard and nonstandard)
Gas constant R=
ΔG = ΔH - TΔS
- if H is positive and S is negative, ∆G always positive
- if H is negative and S is positive, ∆G always negative (spontaneous)
ΔG° = -RTln Keq
- R = 8.3145 J/(mol x K)
Dopplers effect
Higher frequency when coming towards you, lower when going away
fo = observed
v = speed of sound waves
vo = observer velocity
vs = source velocity
fs = actual frequency of sound waves

Bernouilli’s Equation
Bernoulli’s principle: Within a horizontal flow of fluid, points of higher fluid speed will have less pressure than points of slower fluid speed.
P1+ 1/2ρv12 + ρgh1 = P2 + 1/2ρv22 + ρgh2
This equation allows you to analyze a fluid as it moves through a tube and relates the velocity of the fluid to its pressure. For a horizontal tube that changes in diameter, regions where the fluid is moving fast will be under less pressure than regions where the fluid is moving slow. Bernoulli’s equation applies principles of energy conservation to a flowing fluid. In this equation, P is the hydrostatic pressure, ρ is the density of the liquid, v is the velocity, g is gravitational acceleration (9.8 m/s2), and h is the height of the liquid in meters.

parallel plate capacitor equation
Electric field equation
C = ε(A/d)
E = V/d
Voltage = electric field x displacement












































