Some Potentially Useful Information
Some Trigonometric Relationships
Given the right triangle shown on the right with
angle , hypotenuse c, and sides a (base) and b (height)
as indicated.
c
b

a
The following relationships apply
 = sin-1 b/c means  is an angle whose sin is b/c
cos  = a/c
tan  = b/a
c2 = a2 + b2
sin  = b/c
 = cos-1 a/c means  is an angle whose cos is a/c
Trigonometric Values of Some Common Angles, 
0o
0
1
0
sin 
cos 
tan 
200
0.342
0.940
0.364
30o
0.5
0.866
0.577
37o
0.602
0.799
0.649
45o
0.707
0.707
1
Chapters 2 and 3: One and Two-Dimensional Kinematics
v = v0 + at
vx2 = vx02 + 2ax(x - x0)
2
x = x0 + vx0t + 1/2at
vy2 = vy02 + 2ay(y - y0)
2
y = y0 + Vy0t + 1/2ayt
at2 + bt + c = 0
t=
60o
0.866
0.5
1.732
700
0.940
0.342
2.747
−𝑏±√𝑏2 −4𝑎𝑐
2𝑎
Chapter 4: Dynamics - Newton's Laws of Motion
FFr = FN
Fg =( mobject)(agravity)
Fx = (mobject)(aobject)x
Fy= (mobject)(aobject)y
Chapter 5: Circular Motion and Gravitation
G = 6.67x10-11Nm2/kg2
REarth = 6.38x106 m
F = Gm1m2/r2
MEarth = 5.98 x 1024 kg
aR = V2/r
T = 1/f
atan = V/t
(F)R = maR
Chapter 6: Work and Energy
W = F||d
PEgrav = mgy
Wnet = KE
PEelastic = 1/2kx2
KE = 1/2mv2
WC + W NC = KE
Conservative forces: KE2 + PE2 = KE1 + PE1
WNC = KE + PE
E = KE + PE
Chapter 7: Linear Momentum
p = mv
F = p/t
mava + mbvb = mava' = mbvb'
I = Ft
va - vb = -(va' - vb')
Some Definitions
a = acceleration
ax = acceleration, x direction
v = velocity
y = displacement, y direction
F = force
FFR = force of friction
Fx = force, x direction
t = time
ay = acceleration, y direction
 = summation
x = displacement, x direction
Fg = force of gravity
FN = normal force
Fy = force, y direction
aR = radial acceler, atan = tan acceler
k = spring constant
I = impulse, p = momentum
T = period, f = frequency
G = universal gravitational constant
r = radius or distance between
KE = kinetic energy
k = kinetic friction coefficient
s = static friction coefficient
PE = potential energy
atan = tangential acceleration
aR = radial acceleration
prime superscript = after collision
MEarth = Mass of Earth
REarth = Radius of Earth
k = spring stiffness constant
W c = Work, conservative F
W NC = Work, non conservative
vb' = new velocity of object b
Jim Mims
Physics II 2012-2013
Equations, Definitions, Important Concepts
Page 1
Chapter 10: Fluids
 = m/V
P = F/A
P = mg/A = gh
Fout/Fin = Aout/Ain
FB = mFg
1A1v1 = 2A2v2
v = (2g y)
P1 + 1/v12 + gy1 = P2 + 1/v22 + gy2
1 N/m2 = 1 Pa (approximately)
1/2
1 atm = 1.01 x 105 N/m2 = 101.2 kPa
water = 1x103 kg/m3
Chapter 16: Electric Charge and Electric Field
F = kQ1Q2/r2
F = qE
Qe = Qp = 1.602x10-19 C
Fnet = F1 + F2 + ...
E = F/q = kQ/r2
k = 9.0x109Nm2/C2
mproton = 1.7x10-27 kg
melectron = 9.1x10-31 kg
Chapter 17 Electric Potential
W = fd = qEd
PEb - PEa = -qEd
Vba = Vb - Va = -W ba/q
E = -Vba/d
Chapter 18: Electric Currents
I = Q/t
R = L/A
V = IR
P = V2/R
P = IV
P = QV/t
Chapter 19: DC Circuits
Vab =  - Ir
I = /R = r
Vs = V
Rs eq = R
IP = I
1/RP eq = 1/R1 + 1/R2 +...
Chapter 20: Magnetism
Fmax = ILB
F = ILBsin
F = qvBsin
Blsw = µ0I/2r
µ0 = 4x10-7Tm/A
Chapter 21: Electromagnetic Induction and Faraday's Law
A = BA = BAcos
 = -B/t
Vs = NsB/t
VP = NPB/t
Vs/VP = Ns/NP
Chapter 23: Light: Geometric Objects
i =  R
f = r/2
1/d0 + 1/di = 1/f
n1sin1 = n2sin2
Chapter 26: Special Relativity
 = 1/(1 - V2/C2)1/2
t =  t0
L = L0/
Some Definitions
 = density or resistivity
P = pressure
A = cross-sectional area
V = voltage
q = charge
E = electric field
R or r = resistance or distance
I = current
k = proportioality constant
P = power
B = magnetic field
µ0 = permeability constant
 = magnetic flux
f = focal length
 = induced emf
B = magnetic field
t = stationary frame time
t0 = moving frame time
L = stationary frame length
L0 = moving frame length
Q = charge
Some Prefixes
Prefix
tera
giga
mega
kilo
milli
micro
nano
Jim Mims
Symbol
T
G
M
k
m
µ
n
Physics II 2012-2013
Decimal Equivalent
1,000,000,000,000
1,000,000,000
1,000,000
1,000
0.001
0.000 001
0.000 000 001
Power of Ten
1012
109
106
103
10-3
10-6
10-9
Equations, Definitions, Important Concepts
Page 2