Flashcards in Equations Deck (34):

1

##
Big Five #2

(missing d)

### v = v0 + at

2

##
Big Five #3

(Missing v)

### d = v0t + 0.5at^2

3

##
Big Five #5

(missing t)

### (v^2) = (v0^2) + 2ad

4

## Newton's first law

###
If Fnet = 0, change in v = 0

An object in motion will stay in motion unless acted upon by an outside force

5

## Newton's second law

### F = ma

6

## Newton's third law

###
For every action there is an equal and opposite reaction

I.e. The force exerted by A on B will be equal and opposite to the force exerted by B on A

7

## Work (Newtonian)

###
W = Fdcosθ, units: J

Angle is between F and direction of motion

Work-energy theorem: Wtot = ΔKE

P = W/t, units: Watts

8

## Thermodynamics

###
ΔE = Q - W

W = PΔV

V = free space in the vessel

W = area under curve on PV diagram

W and Q are path-dependent

9

## Buoyant force (Archimedes' principle)

###
Fbuoy = (ρfluid)(Vsub)g = Wobj

Vsub/V = ρobj/ρfluid

10

## Continuity equation

###
A1v1 = A2v2

The rate at which a fluid enters a system is equal to the rate at which the fluid exits the system

11

## Electric field/force relation

###
Fe = qE (force exerted by a field on a point charge)

E = kQ/(r^2) (field due to a point charge); units = N/C or V/m

12

## Electric potential energy/potential relation

###
ΔPE = qΔφ = qV

φ = kQ/r, units: C/m

Work done by field = -ΔPE

13

## Ohm's Law

### V = IR

14

## Period/frequency relationship (waves)

###
f = 1/T

T = 1/f

Small angle approx for pendulum: not dependent on mass

15

## Doppler effect

###
fd = fs(v + or - vd)/(v - or + vs)

If s and d are getting closer, use top signs

16

## Snell's Law

###
n1sinθ1 = n2sinθ2

n = c/v

sin(θc) = n2/n1

17

## Mirror/lens equations

###
(1/o) + (1/i) = (1/f)

m = (-i/o)

P = 1/f

18

## Mirror/lens conventions

###
Concave mirror/convex lens: +f, can produce real or virtual images

Convex mirror/concave lens: -f, only produce virtual images

-i = virtual, upright

+i = real, inverted

19

## Henderson-Hasselbach

### pH = pKa + log([A-]/[HA])

20

## Galvanic cell

###
Cathode: reduction

Anode: oxidation

Standard conc. is 1 M in each half cell

If both cells use the same element, E = 0

ΔG = -nFE

21

## Impulse

###
J = FΔt = ΔP

P = mv

22

## Springs

###
Fs = -kx

W = (kx^2)/2

23

## Sound

###
dB = 10log(I/Io)

For every 10 dB increase, a sound is 10x more intense

I = P/A

24

## Torque

###
T = rFsinθ

θ measured as if F and r originate at the same point, always <180

25

## Gibbs' free energy

###
ΔG = ΔH - TΔS

Thermodynamic, not kinetic

+ΔG = nonspontaneous

-ΔG = spontaneous

Standard ΔG = -RTlnKeq

26

## Circuit conventions

###
Series:

-R is summative

-C is inversely summative

-I is constant

-C is summative

Parallel:

-R is inversely summative

-C is summative

-I is summative

-V is constant

27

## Friction

###
Ff = μFn

μk < μs

28

## Uniform circular motion

### Fc = ma = m(v^2/r)

29

## BDE

###
E(separate atoms) - E (bonded)

= 0 - E

E(bonded) always - so BDE always +

Breaking a bond requires energy

30

## Capacitance

###
C = κεA/d

PE = CV^2/2 = Q^2/2C

31

## Types of decay

###
α: lose 4 mass units and 2 protons

β: lose an electron (atomic # increases)

Neutron capture: mass # increases

Electron capture: electron combines with proton, mass # same but atomic # decreases

γ: photon emission

32

## Dalton's Law

###
Sum of partial pressures of gases in a mixture equals the total pressure of the mixture

Partial P = mole fraction x Ptot

Py = XyPtot

ppm = mole fraction x 1,000,000

33

## Venturi effect

### When fluid flows through a narrow section of the container, pressure drops

34