Simple Harmonic Motion descriptions

Amplitude (A) = meters

Frequency (f) = 1/seconds = Hertz

Period (T) = seconds

Fspring = -kx

x is the stretched length of the spring

k is spring constant (N/m)

2(pi)(sqr m/k)

m = mass

bigger the mass the slower it goes

T=2(pi)(sqr L/g)

L=length of pendulum

g = gravity (9.8)

Total Energy = Potential Energy + Kinetic Energy

Etotal = KE + Uspring

Etotal = 1/2mv(sqr) + 1/2kx(sqr)

Fspring = Work

k(delta x) = mg

Transverse Waves

vs.

Longitudinal Waves

vibrate in a direction perpendicular to the medium

vs.

vibrate in a direction parallel to the medium

v = (lambda)f

[[aka v = wavelength x frequency]]

(m/s)

lambda = wavelength

f = frequency

THE SPEED OF A WAVE DEPENDS ON ITS MEDIUM

((It's independent of wavelength and frequency))

speed of wave depends (sqroot Force Factor/ Mass of something)

antinodes = loops

nodes = points of no displacement between loops

(delta L) = (alpha)(Lo)(delta T)

Delta L = Change in Length

Alpha = type of stuff...bigger alpha, faster things change temperature

Lo = original length

Delta T = change in temperature

Ideal Gas Law formulars

PV = nRT

Pressure =  Force/ Area

[[P = F/A]] ((N/m(sq) aka Pascal))

PV = N(Kb)T

N=6.022 x 10^23 (molecules/mole)

kb = 1.38 x 10^-23 (J/K)

T = Temperature in Kelvin

Average Kinetic Energy of Molecules

Root Mean Square Velocity

(rms)

v(rms) = (sqroot 3RT/M)

or (sqroot 3KbT/miew)

M = molar mass of gas

miew = mass/molecule of gas

Heat equation

Q = mc(delta T)

Q = transfer of energy due to difference in temperature

c = specific heat

U = 3/2NkT

N = number of molecules

kT = average energy per molecule

Conduction

(transfer of thermal energy through physical contact)

H = (Delta Q)/ (Delta time)

or

=kA(delta T)/L

A=area

L = Length through which heat is being transfered

First Law of Thermodynamics

-Change in internal energy can be either negative or positive.

-If (deltaU >0) the energy in the system increases, if opposite the energy in the system decreases

(delta U) = Q + W

W = P(deltaV)

If work is done ON the system, W > 0

If work is done BY the system, W < 0

I have U; I do W; and Q flows into me

-Thermodynamic Processes-

Isothermal

-keeps the temperature constant

(delta T) = 0

(delta U) = 0

SO -Q = W

PV = nKT

-no heat flows

(Q = 0)

happens when something is done super fast

-Constant Pressure but change in volume

Q = (delta U) + W

Heat Engine

+

Ideal efficiency

e = W/Qh

W = how much work you can do

Qh = how much heat you can take out

Ideal - e = 1 - TL/TH

miew of friction = Force of friction / Normal force

Displacement: (delta x) = xfinal - xinitial

Average Velocity: v = (delta x)/(delta t) [[m/s]]

Average Acceleration: a = (delta v)/(delta t) [[m/ssqr]] 

v = vinitial + at

x = xinitial + vinitial(t) + 1/2a(tsqr)

vsqr = (vinitalsqr) + 2a(xfinal - xinitial)

p = mv ((Ns))

p: momentum

J = F (delta t) = delta (mv)  [[kg m/s)

J = impulse

Momentum is conserved in COLLISION

momentum and KINETIC ENERGY is conserved in elastic

momentum is conserved, but kinetic energy is NOT

m1v2 + m2v2 = (m1 + m2) vf

Density:  rho = m/v  [[kg/m3]]

Pressure:  P=F/A [[Pascal]]

Gauge Pressure: P = Pgauge + Pinitial

Fb = qvBsin(theta) = ILB sin (theta)

EMF = -N(change in flux)/(deltatime)

Fe = k (q1q2)/Rsqr

Fe/Fg = kq1q2/Gm1m2

E = Fe/q

E = kqs/Rsqr