Download ADVANCED PLACEMENT PHYSICS B EQUATIONS DEVELOPED

ADVANCED PLACEMENT PHYSICS B EQUATIONS DEVELOPED FOR 2012
NEWTONIAN MECHANICS
u = u0 + at
x = x0 + u0 t +
1 2
at
2
u 2 = u0 2 + 2a ( x - x0 )
 F = Fnet = ma
F fric £ m N
u2
ac =
r
t = r F sin q
p = mv
J = FDt = Dp
K =
1 2
mu
2
DUg = mgh
W = F Dr cos q
Pavg =
W
Dt
a
F
f
h
J
K
k
A
m
N
P
p
r
T
t
U
u
W
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
x
m
q
t
=
=
=
=
acceleration
force
frequency
height
impulse
kinetic energy
spring constant
length
mass
normal force
power
momentum
radius or distance
period
time
potential energy
velocity or speed
work done on
a system
position
coefficient of friction
angle
torque
ELECTRICITY AND MAGNETISM
F =
kq1q2
r2
E=
F
q
UE = qV =
kq1q2
r
d
1
1
QV = CV 2
2
2
V=
V
d
q
q
Êq
ˆ
V = k Á 1 + 2 + 3 + ...˜
Ë r1
¯
r2
r3
C =
Uc =
Q
V
0 A
I avg =
R=
DQ
Dt
rA
A
V = IR
P = IV
P = F u cos q
C p = C1 + C2 + C3 + ...
Fs = - k x
1
1
1
1
=
+
+
+ ...
Cs
C1 C2 C3
Us =
1 2
kx
2
Rs = R1 + R2 + R3 + ...
1
1
1
1
=
+
+
+ ...
Rp
R1 R2 R3
m
Ts = 2 p
k
FB = qu B sin q
A
Tp = 2p
g
T =
FB = BI A sin q
1
f
FG = -
UG = -
B =
Gm1m2
e
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
F
I
A
P
Q
q
R
r
t
U
Eavg = -
C =
A
B
C
d
E
m0 I
2p r
fm = BA cos q
r2
eavg
=-
Gm1m2
r
e=
BAu
© 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org.
Dfm
Dt
u =
r =
q =
fm =
area
magnetic field
capacitance
distance
electric field
emf
force
current
length
power
charge
point charge
resistance
distance
time
potential (stored)
energy
electric potential or
potential difference
velocity or speed
resistivity
angle
magnetic flux
ADVANCED PLACEMENT PHYSICS B EQUATIONS DEVELOPED FOR 2012
FLUID MECHANICS AND THERMAL PHYSICS
WAVES AND OPTICS
r=mV
u = fl
P = P0 + r gh
Fbuoy = rVg
A1u1 = A2 u2
P + r gy +
1 2
ru = const.
2
D A = a A 0 DT
H =
kA DT
L
P=
F
A
PV = nRT = Nk BT
K avg =
3
k T
2 B
urms =
3 RT
=
M
W = - PDV
DU = Q + W
e=
W
QH
ec =
TH - TC
TH
3k B T
m
A = area
e = efficiency
F = force
h = depth
H = rate of heat transfer
k = thermal conductivity
Kavg = average molecular
kinetic energy
A = length
L = thickness
m = mass
M = molar mass
n = number of moles
N = number of molecules
P = pressure
Q = heat transferred to a
system
T = temperature
U = internal energy
V = volume
u = velocity or speed
urms = root-mean-square
velocity
W = work done on a system
y = height
a = coefficient of linear
expansion
m = mass of molecule
r = density
K max = hf - f
l =
h
p
DE = ( Dm) c
2
E=
f =
K=
m=
p =
l=
f=
c
u
n 1 sin q1 = n 2 sin q2
sin qc =
n2
n1
1
1
1
+
=
si
s0
f
h
s
M = i =- i
h0
s0
R
2
d sin q = ml
f =
xm ª
m lL
d
GEOMETRY AND TRIGONOMETRY
Rectangle
A = bh
Triangle
1
A = bh
2
Circle
A = pr2
C = 2p r
Rectangular Solid
V = Aw h
Cylinder
V = p r 2A
A=
C=
V=
S =
b =
h =
A=
w=
r =
area
circumference
volume
surface area
base
height
length
width
radius
S = 2p r A + 2p r 2
Sphere
4
V = pr3
3
ATOMIC AND NUCLEAR PHYSICS
E = hf = pc
n=
d = separation
f = frequency or
focal length
h = height
L = distance
M = magnification
m = an integer
n = index of
refraction
R = radius of
curvature
s = distance
u = speed
x = position
l = wavelength
q = angle
energy
frequency
kinetic energy
mass
momentum
wavelength
work function
S = 4p r 2
Right Triangle
a 2 + b2 = c 2
a
sin q =
c
b
cos q =
c
a
tan q =
b
c
q
© 2012 The College Board. Visit the College Board on the Web: www.collegeboard.org.
a
90°
b