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Pphys3T Cheat Sheet (DRAFT) by

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This is a draft cheat sheet. It is a work in progress and is not finished yet.

Mechanics

v = u + at
s = ½(u + v)t
s = ut + ½at2
v2 = u2 + 2as
 
Power:
P = Fv
 
Power:
P = E/t
p = mv
Moment = Fd
𝜌=m/V
 
impulse:
Ft = mv - mu
 
work done:
W = Fcos𝜃d
 
work done:
W = Fd

Electris

V = IR
Q = It
P = VI
P = I2R
P = V2/R
ℰ = I(R + r)
ℰ = IR + Ir
ℰ = V + Ir
ℰ = E/Q
ℰ
1
+ℰ
2
=V
1
+V
2
+V
3
W = VQ
W = ℰQ
W = VIt
I = Anev

Capas

Q = CV
E = QV
E = ½CV2
C = kR
C = (8.85
x10
-12)A/d
E = ½QV
 
crg:
Q = Q
0
(1-e-t/CR)
 
discrg:
Q = Q
0
e-t/CR

Grav f

g=f/M
F=GMm/r2
g=-GM/r2
E
grav
= -GMm/r
T2∝R3
g∝M
g∝1/r2
V
grav
= -GM/r
E = mV
grav

phys math

arc l = rθ
circum.cir = 2πr
A.cir = πr2
cuved surf.A.cylnd = 2πrh
s.A.sphe = 4πr2
A.trap = ½(a + b)h
vol.cylnd = πr2h
vol.sphe = (4/3)πr3
a2 = b2 + c2
cos: a2 = b2 + c2 – 2bccosA
sine: a/sinA = b/sinB = c/sinC
1eV = 1.60
×10
–19 J
1day = 8.64
×10
4 s
1year ≈ 3.16
×10
7 s
1light­-year ≈ 9.5 
×10
15 m
1parsec ≈ 3.1
×10
16 m
G: 6.67
×10
–11 Nm2kg –2
h: 6.63
×10
–34 Js
c: 3.00
×10
8 ms–1
e 1.60
×10
–19C
  

CIruclar, SHM

F
centri­petal
=mv^2/r
F = m𝜔2r
𝜔 = 2𝜋f
𝜔=2𝜋/T
𝜔 = v/r
𝜔 = 𝜃/t
a = -𝜔2x
a = v2/r
T
spring
=2𝜋\sq­rt[m/k]
T
pend
=2𝜋\sq­rt[l/g]
E
heat
=mc𝛥t
E
elst
= Fx/2

springs

F = kx
E = ½fx
E = ½kx2

Elec Field

E = F/Q
F = kQ2/r2
E = kQ/r2
E
uniform
= V/d
V = kQ/r
Energy = kQ2/r
 
mag:
F = BILsinθ
 
mag:
F = BQV

Parti

E =mc2
E = hf
eV = ½mv2
max
½mv2
max
= hf - Φ
E = hc/𝜆
f
0(thrsh)
= Φ/h

Waves

v = fλ
T = 1/f
c = fλ
 
difrac:
λ = dx/l
 
difrac-g:
nλ = dsinθ
I=P/A
n = c/v
n
1
sinθ
1
=n
2
sinθ
2
sinC = 1/n
nsinθ = k
λ = ax/D
θ<C:
frac&­par­t.frec
θ=C:
frac.o­n.bound
θ>C:
TIR

Math Math