Download AP Physics B Exam Equation Sheet

Advanced Placement Physics B Equations
Newtonian Mechanics
v  v0  at
1
x  x0  v0T  at 2
2
2
2
v  v0  2a  x  x0 
 F  FNet  ma
F fric   N
2
v
r
  rF sin
p  mv
J  F t  p
1
K  mv 2
2
U g  mgh
ac 
W  F r  F r cos
W
Pavg 
t
P  F  v  Fv cos
Fs  kx
1
U s  kx 2
2
m
Ts  2
k
l
TP  2
g
1
T
f
Gm1m2
FG  
r2
Gm1m2
UG  
r
Electricity and Magnetism
a = acceleration
F = Force
f = frequency
h = height
J = impulse
K = kinetic energy
k = spring constant
l = length
m = mass
N = normal force
P = power
p = momentum
r = distance
s = displacement
T = period
t = time
U = potential energy
v = velocity or speed
W = work
x = displacement
= coefficient of
friction
 = angle
 = torque
1 q1q2
4 0 r 2
F
E
q
F
U E  qV 
E Avg  
1 q1q2
4 0 r
V
d
1
4 0
Q
C
V
V
qi
r
i
i
0 A
d
1
1
U C  QV  CV 2
2
2
C
Q
t
I Avg 
R
l
A
V  IR
P  IV
CP   Ci
i
1
1

CS
Ci
i
RS   Ri
i
1
1

RP
Ri
i
FB  qvB sin
FB  BIl sin 
 I
B 0
2 r
m  B  A  BA cos
 avg   m
t
  Blv
A = Area
B = Magnetic field
C = Capacitance
d = distance
E = Electric Field Strength
 = emf
F = Force
I = Current
l = length
P = Power
Q = charge
q = point charge
R = Resistance
r = distance
t = time
U = potential (stored)
energy
V = Electric potential or
Potential Energy
v = velocity or speed
 = resistivity
 = magnetic field
Fluid Mechanics and Thermal Physics
p  p0   gh
FBuoy  Vg
Av
1 1  A2v2
1
p   gy   v 2  const.
2
l   l0 T
Q  mL
Q  mcT
p
F
A
pV  nRT
3
k BT
2
K avg 
vrms 
3RT
3k BT

M

W   pV
Q  ncT
U  Q  W
U  ncV T
a = acceleration
F = Force
f = frequency
h = height
J = impulse
K = kinetic energy
k = spring constant
l = length
m = mass
N = normal force
P = power
p = momentum
r = distance
s = displacement
T = period
t = time
U = potential (stored)
energy
v = velocity or speed
W = work
x = displacement
= coefficient of
friction
 = angle
 = torque
d = separation
f = frequency or
length
h = height
L = Distance
M = Magnification
m = an integer
n = index of
refraction
R = Radius of
curvature
s = distance
v = speed
s = distance
 = wavelength
 = angle
d sin  m
xm 
m L
d
Circle
A = bh
1
A  bh
2
Triangle
A   r2
C  2 r
Parallelepiped V  lwh
V   r 2l
S  2 rl  2 r 2
4 3
Sphere V   r
3
S  4 r 2
Cylinder:
Atomic and Nuclear Physics
E   m  c 2
v f
c
n
v
n1 sin1  n2 sin 2
n
sin  C  2
n1
1 1 1
 
si so f
h
h
M i  i
ho
ho
R
f 
2
Rectangle
W
QH
T T
ec  H C
TH
h

p
Waves and Optics
Geometry and Trigonometry
e
E  hv  pc
Kmax  hv  
Waves and Optics
E = energy
f = frequency
K = kinetic energy
m = mass
p = momentum
= wavelength
 = work function
A = area
C = circumference
V = volume
S = surface area
b = base
h = height
l = length
w = width
r = radius
Right Triangle
a 2  b2  c2
a
sin  
c
b
cos  
c
a
tan  
b
c
9
0

b
a