Physics 30S Equations
Kinematics and Dynamics
∆d
∆t
∆v
a=
∆t
v2 = v1 + at
v=
1
∆d = v1t + at 2
2
1
∆d = v2t − at 2
2
2
2
v2 = v1 + 2a∆d
− b ± b 2 − 4ac
2a
∑ F = Fnet = ma
x=
F f = µ FN
v +v 
∆d =  1 2  ⋅ t
 2 
Fields
g=
Fg
m
Gm1m2
Fg =
r2
GM
g= 2
r
Fe
q
kq q
Fe = 12 2
r
kQ
E= 2
r
E=
q = Ne
FB = qvB sin θ
FB = BIl sin θ
Waves
v=λf
c
n=
v
n1 sin θ1 = n2 sin θ 2
n
sin θ c = 2
n1
1
f
d sin θ = nλ
1

PS1 − PS 2 =  n −  λ
2

T=
λ=
d ∆ xn
nL
v = 331 + 0.6T
Constants and Conversion Factors
g = 9.8
m
s2
G = 6.67 ×10
Prefixes
−11
Factor
109
106
103
102
10
10-1
10-2
10-3
10-6
10-9
10-12
Nm 2
kg 2
Nm 2
C2
1 e =1.6 × 10 −19 C
melectron = 9.11× 10−31 kg
k = 9 ×109
m proton = mneutron = 1.67 ×10−27 kg
mearth = 5.98 × 1024 kg
mmoon = 7.35 × 1022 kg
c = 3 × 108 m / s
nvacuum = 1.0000
Prefix
giga
mega
kilo
hecto
deka
deci
centi
milli
micro
nano
pico
Symbol
G
M
K
h
da
d
c
m
µ
n
p
nair = 1.0003
nwater = 1.33
Planetary Motion
Object
sun
moon
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
Radius of object (m)
8
6.95 x 10
1.74 x 106
2.57 x 106
6.31 x 106
6.38 x 106
3.43 x 106
7.18 x 107
6.03 x 107
2.67 x 107
2.48 x 107
3 x 106
Mass (kg)
30
1.98 x 10
7.35 x 1022
3.28 x 1023
4.83 x 1024
5.98 x 1024
6.37 x 1023
1.90 x 1027
5.67 x 1026
8.80 x 1025
1.03 x 1026
6 x 1023
Mean Radius of Orbit (m)
--3.84 x 108
5.79 x 1010
1.08 x 1011
1.49 x 1011
2.28 x 1011
7.78 x 1011
1.43 x 1012
2.87 x 1012
4.50 x 1012
5.9 x 1012