Formulas
(you need very few of these!!)
1
x = x0 + v0 t + ax t 2
2
! !
A ⋅ B = A B cosθ
sin θ =
o
h
!
!
F
∑ = ma
!
!
W = ∫!x F (x)⋅ dx
!
xf
i
! !
a × b = a b sin φ ⊥ to both
cos θ =
a
h
tan θ =
o
a
sin30° = 0.5 = cos60°,cos30° = 0.866 = sin60°
tan 45° = 1
C = 2πr
sin 45° = 0.707 = cos 45°
V=
−b ± b 2 − 4ac
x=
2a
m
use, g = 10
sec 2
4 3
πr
3
Acylinder = 2π rh
ΔV = VβΔT
ΔL = LαΔT
A = πr
Asphere = 4π r
2
Tc = T − 273°
Vf
W =
∫ dW = − ∫ PdV
N A = 6.02 × 1023 mol −1
H=
Q
T − Tc
= kA h
t
L
pV = nRT
Cv =
3
R (ideal
2
monatomic gas),
9
TF = TC + 32°
5
Pr = σε AT 4
pV γ = const
3RT
M
C
γ = p
Cv
vrms =
R = 8.31 J mol K
5
Tc = (Tf − 40) + 40
9
Q = cm(Tf − Ti )
Vi
Q = Lm
2
Eint = nCvT
K=
3
kT
2
k = 1.38 × 10 −23 J / K
Cp = Cv + R
ΔEint = nCV ΔT
f
ΔS = S f − Si = ∫i
K=
dQ
T
Qc
W
K=
!
! F
E=
qo
!
qq
F = 1 2 2 rˆ
4πε 0 r
q = λL
Qc
Tc
=
Qh − Qc Th − Tc
dq = λ ds
2
ε 0 = 8.85 × 10 −12 C
N m2
q = σA
!
E=
q
ˆ
2 r
4πε 0 r
dq = σdA
!
dE =
dq
rˆ
4πε 0 r 2
q = ρ V dq = ρ dV