SPH4U Formula and Data Sheet
Selected Physical Constants
Quantity
speed of light in a vacuum
universal gravitational
constant
Coulomb's constant
charge on a proton
electron rest mass
proton rest mass
neutron rest mass
atomic mass unit
electron volt
Planck's constant
Permeability of Free Space
Permittivity of Free Space
Avogadro’s Number
Symbol
c
G
Approximate Value
2.99792458 × 108 m/s
6.67384 × 10-11 Nm2kg-2
k
e
me
mp
mn
u
eV
h
:o
,o
NA
8.9879552 × 109 Nm2C-2
1.6022 × 10-19 C
9.1094 × 10-31 kg
1.6726 × 10-27 kg
1.6749 × 10-27 kg
1.6605 × 10-27 kg
1.6022 × 10-19 J
6.6261 × 10-34 J.s
4B×10-7 T.m/A
8.854×10-12 C2N-1m-2
6.022×1023
Indexes of Refraction for Selected Materials
Commonly Used Metric Prefixes
Prefix
tera
giga
mega
kilo
hecto
deca
deci
centi
milli
micro
nano
Abbreviation
T
G
M
k
h
da
d
c
m
:
n
Meaning
1012
109
106
103
102
101
10-1
10-2
10-3
10-6
10-9
Substance
vacuum
air
ice
water
ethanol
turpentine
window glass
Plexiglas
crown glass
flint glass
zircon
diamond
Refractive Index
1.00000
1.00029
1.31
1.333
1.36
1.472
1.50
1.51
1.52
1.66
1.923
2.417
Solar System Data
Object
Mass [kg]
Sun
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
Moon
1.99 × 1030
3.28 × 1023
4.83 × 1024
5.98 × 1024
6.37 × 1023
1.90 × 1027
5.67 × 1026
8.80 × 1025
1.03 × 1026
1.30 × 1023
7.35 × 1022
Radius of
Object
[m]
6.96 × 108
2.44 × 106
6.05 × 106
6.38 × 106
3.40 × 106
7.15 × 107
6.03 × 107
2.56 × 107
2.48 × 107
1.15 × 106
1.74 × 106
Mean
Orbital
Radius [m]
--------------5.79 × 1010
1.08 × 1011
1.49 × 1011
2.28 × 1011
7.78 × 1011
1.43 × 1012
2.87 × 1012
4.50 × 1012
5.91 × 1012
3.84 × 108
Metal
Aluminum
Barium
Cadmium
Calcium
Cesium
Copper
Mercury
Nickel
Potassium
Sodium
Tungsten
Zinc
Work
Function
(eV)
4.25
2.48
4.07
3.33
1.90
4.46
4.50
5.01
1.60
2.26
4.52
3.31
Kinematics
g = 9.8m / s 2 = 9.8 N / kg
1
∆d = a (∆t ) 2 + v1 ∆t
2
1
∆d = − a (∆t ) 2 + v 2 ∆t
2
v 2 = v1 +a∆t
 v + v2
∆d =  1
 2
2

∆t

2
v 2 = v1 + 2a∆d
v2
(rˆ)
ac =
r
a c = 4π 2 rf 2 (rˆ)
2
4π r
(rˆ)
T2
= v AB + v BC
ac =
v AC
v 2 sin 2θ
R=
g
2
R=
2v sin θ cos θ
g
v 2 sin 2 θ
2g
2v sin θ
∆t =
g
H=
Dynamics
F = ma
Fc = ma c (rˆ)
GM 1 M 2
(− rˆ)
r2
Fg = mg
Fg =
Celestial Mechanics
GM
g = 2 (− rˆ)
r
GM
vorbital =
r
3
r
GM
K=
=
T2 4π 2
Relativity
1
γ =
2
1 − ( vc )
Lm =
Ls
γ
∆t m = γ∆t s
m = γmo
E = mc 2
E k = mc 2 − mo c 2
Energy and
Momentum
W = F ⋅ ∆d
(
W = F∆d cos θ
E g = mgh
Eg = −
Gm1 m2
r
1 2
mv
2
1
2
E e = k (∆x )
2
F
k=
∆x
m
T = 2π
k
Ek =
T = 2π
L
G
x
a
2πt
x = A sin
T
J = F∆t = ∆p
µk =
Fk
FN
p x = p1x + p 2 x + ....
p x = p cos θ , etc.
 m − m2
v1 ' =  1
 m1 + m2

v1

 2m1
v 2 ' = 
 m1 + m2

v1

n1→2 =
sin θ 1 n 2
=
sin θ 2 n1
Pn S1 − Pn S 2 = (n − 12 )λ
xn
λ
= (n − 12 )
L
d
x m mλ
sin θ m =
=
L
d
∆x λ
=
L d
nλ
sin θ n =
w
(m + 12 )λ
sin θ m =
w
c
n=
v
sin θ n =
)
E = hf =
B=
p = mv
p = m1v1 + m2 v 2 + ...
v1
v2
Electromagnetism
F = I BSin(θ )
Fs (max)
FN
n1→2 =
Matter-Energy
Interface
λ max T = 2.90 × 10 −3 mK
FM = qvBSin(θ )
T = 2π
n1 sin θ 1 = n 2 sin θ 2
Electrostatics
kq q
FE = 12 2 (rˆ)
r
kq
ε = 2 (rˆ)
r
kq q
EE = 1 2
r
kq
V=
r
∆E = q∆V
q = Ne
FM = qv × B
µs =
F fr = µFN
2GM
r
GMm
Eg = −
r
2GM
R sch = 2
c
∆E = −GM r12 − r11
vescape =
Light
v = fλ
v1 λ1
=
v2 λ2
B=
µo I
2πr
µ o NI
L
hc
λ
E k = hf − W
p=
h
λ
=
E
c
h
mv
E = mc 2
λ=
hf = (hf )'+ E k

平成26年度事業計画[PDF : 308KB]

Recitation 10

ECMO Procedure Note

過去問:2014中間