Physics Formulas 2011-2012
SI units:
Kilo = 103
Mega = 106
Giga = 109
Tera = 1012
deci =
centi =
milli =
micro =
10-1
10-2
10-3
10-6
nano = 10-9
pico = 10-12
femto = 10-15
Motion formulas
Δt = tf - ti
Δt change in time
Δd = df - di
Δd change in distance
Δv = vf – vi
Δv change in velocity
v = Δd/Δt
v = d/t
d = vt + di
d = vt
a = Δv/Δt
a =v/t
vf = vi + aΔt
v[final] = v [initial] + at
df = di + vitf + 1/2atf2 d = ½ at2
vf2 = vi2 + 2aΔd
vfinal = vinitial + 2ad
g = GM/r2
minertial =f/a
vf2 = vi2 + 2gΔd
d = ½ gt2
w = mg
radius = distance r =d
a =f/m
FA on B = -FB on A
c2 = a2 + b2
f = µfn
SohCahToa
Sin = opp/hyp
Cosine = adj/hyp
Tangent = opp/adj
F = G m1m2/d2
F = G m1m2/r2
g = a [gravity is an acceleration]
v = [2GM/d]1/2
Circular Motion Momentum + impulse Work and Energy
V = 2πr/T
p = mv
Ac =v2/r
Ft = Δp
2
2
Ac = 4π r/T
FT = mv = Iimpulse = p
Fc = mv2/r
[mv + mv]bef = [mv + mv]aft
t = Fd
I = mr2
tclockwise = fd + fdcounter clockwise torque
L = mvr
Heat
Waves/sound/light
Q = mcΔt
Q = mHf
Q = mHv
ΔU = Q – W
ΔSentropy = Qheat /T K temp
α = ΔL/LoΔT
β = Δv/voΔT
P =F/A
D = M/V
Stress = F/A
Strain = ΔL/L
F = -kx
PEsping = 1/2kx2
Tpendulum = 2π [L/g]1/2
T = 1/f
f = 1/T
ƛ = v/f
fdopp =fs [v –vo]/[v – vs]
Ɵr = Ɵi
Tspring = 2π [m/k]1/2
W = fd
P= W/t
KE = 1/2mv2
AMA = fout/fin
W = ΔKE
IMA =din/dout
PE = mgh
E = mc2
Eff =AMA/IMA[100%] E = KE + PE
KEbefore+ PEbefore= KEafter+ PEafter
1/f = 1/di + 1/do
n1 sinƟ1 = n2sinƟ2
n = c/v
sin Ɵc = n2/n1
f open pipe= nv/2L
fclosed end =nv/4L
Electricity and Magnetism
F = kq1q2/d2
E = F/q
V = W/q
V = Ed
C = q/v
I = q/t
P = IV
V = IR
P = I2R
P = V2/R
E = Pt
P = W/t
Rt = R1 + R2 + R3 . . .
1/Rt = 1/R1 +1/R2 +1/R3 . . .
I = V/R
F = ILB
F = qvB
V = nΔΦ/Δt
EMF =Blv
Ieff = .707 Imax
Is/Ip=Vp/Vs=Np/Ns
Veff = .707 Vmax
ƛ =c/f
Φ =AB
Modern Physics
E = hf
E = hc/ƛ
KE = hf - hfo
P = hf/c = h/ƛ
ƛ = h/p = h/ mv
Ephoton = Ef - Ei
E = mc2
Half-life = original [1/2]t
hf = KE + W
Constants
Specific heat capacity (H20) 1 cal /gram°C [4187J/kg°C]
(ice) ½ cal/g°C [2090 J/kg°C]
Heat of fusion (H20)
80 cal/ gram [3.35 x 105 J/kg°C]
Heat of vaporization (H20) 540 cal / gram [2.26 x 106 J/kg°C]
1 C = 6.25 x 1018 electrons
1 electron has charge of 1.6 x 10-19C
1 eV = 1.6 x 10-19 J
Mass of electron = 9.11 x 10-31kg
G = coulomb law 6.67 x 10-11Nm2/kg2
K =coulomb law = 9 x 109 Nm2/C2
Planck’s constant 6.63 x 10-31Js
speed of light c [vac] 3 x 108 m/s
1 proton has charge of 1.6 x 10-19 C
mass of neutron =1.67 x 10 -27kg
mass of proton = 1.67 x 10-27kg
speed of sound at STP 330 m/s
Wavelength of Colors
Violet light 400-440 nm
Blue
440-480 nm
Green
480-530 nm
yellow light
Orange
red
Units
Meters
Seconds
meters/seconds
meters/seconds2
kilograms
newtons
Joules
coulomb
farads
volts
hertz
volts
amps
watt
ohm
530-590 nm
590-630 nm
630-700 nm