PHYS 1004 Physics 1

CC0930
Semester 2, 2014
Page 1 of 3
PHYS1004 Physics 1 (Environmental) Formula Sheet
Properties of Matter
F
A
FB = ρf Vf g
∆V
Q=
= Av
∆t
v1 A1 = v2 A2
ρ = m/V
p=
p = p0 + ρgd
pg = p − patm
∆p = ρg∆d
W = p∆V
Fi
F0 =
A0
Ai
ρvd
NR =
η
πR4 ∆p
Q = vavg A =
8ηL
F = k∆x
σ=
F
A
F
∆L
=Y
A
L0
F
∆V
= −B
A
V0
2γ cos θ
h=
ρgr
4γ
Pi − Po =
r
(soap bubble)
Power = ∆pQ
1
1
p1 + ρv1 2 + ρgy1 = p2 + ρv2 2 + ρgy2
2
2
F
dvx
σs =
=η
A
dy
2
R
vavg =
∆p
8ηL
1
W = k(∆x)2
2
∆L
ε=
L0
F
∆x
=S
A
L0
F
γ=
l
2γ
Pi − Po =
(drop)
r
γ
Pi − Po =
(cylinder)
r
CC0930
Semester 2, 2014
Page 2 of 3
Electricity & Magnetism/Circuits
F =
Kq1 q2
q1 q2
=
2
r
4πε0 r2
1
K=
4πε0
Uelec
V =
q
ε0 A
C=
d
κε0 A
C=
d
∆V
E=
d
∆Q
I=
∆t
∆V
I=
R
µ0 N I
B=
2R
N
B = µ0 I
L
ε = vBL
FB = ILB
mv
r=
|q| B
∆Φ ε = ∆t →
−
→
−
−
F = q→
v ×B
→
−
→
−
F
E =
q
Q = C∆VC
Kqq 0
qq 0
=
r
4πε0 r
Kq
q
V =
=
r
4πε0 r
Q2
1
1
UC =
= C(∆V )2 = Q∆V
2C
2
2
ρL
R=
A
(∆V )2
P = Iε = I 2 R =
R
µ0 I
B=
2πr
→
−
| F | = |q| Bv (direction by right-hand rule)
∆ΦB ε=N
∆t µ0 LI1 I2
F =
2πd
ΦB = Aeff B = AB cos θ
Uelec =
I = I0 e−t/(RC)
Rseries = R1 + R2 + R3 + . . .
−1
1
1
1
Rparallel =
+
+
+ ...
R1 R2 R3
Cparallel = C1 + C2 + C3 + . . .
−1
1
1
1
Cseries =
+
+
+ ...
C1 C2 C3
V = IR
∆VC = (∆VC )0 e−t/(RC)
Vout =
Vin R2
R1 + R2
τ = RC
CC0930
Semester 2, 2014
Page 3 of 3
Radiation
= KEmax = hf − Φ
E = hf
eVs
P = ασAT 4
hf
h
p=
=
c
λ
h
h
λ= =
p
mv
λp T = b
hf =
Pnet
√
p = mv =
hc
= |Ei − Ef |
λ
me4
13.6
= − 2 eV for n = 1, 2, 3 . . .
2
2
2
8ε0 h n
n
∆x · ∆px ≥ ~/2, ∆y · ∆py ≥ ~/2, ∆z · ∆pz ≥ ~/2
En = −
R = R0 e−λt
1
t1/2,eff
1
=
t1/2
+
1
t1/2,bio
R = λN
1
= RH
λ
dN
= −λN
dt
E 2 = m2 c4 + p2 c2
Q = ∆mc
h
2mK =
λ
!
1
1
− 2
n2f
ni
~ = h/2π
N = N0 e−λt
ln 2
0.693
t1/2 =
=
λ
λ
λtotal = λa + λb + ....
D=
2
where b = 2.90 × 10−3 m.K
= Prad − Pabs = αAσ, T 4 − TS4
Eabs
m
H = RBE × D
R = R0 A1/3
R0 = 1.2 fm
Ebinding = ∆mc2 = −Vpotential