AP PHYSICS 2 TABLE OF INFORMATION - AP Central · AP Physics 2 Course and Exam Description,...
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© 2020 College Board 1 of 3 AP Physics 2: Algebra-Based Table of Information: Equations AP ® PHYSICS 2 TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, 27 1.67 10 kg p m - = ¥ Neutron mass, 27 1.67 10 kg n m = ¥ - Electron mass, 31 9.11 10 kg e m - = ¥ Avogadro’s number, 23 1 0 6.02 10 mol N - = ¥ Universal gas constant, 8.31 J (mol K) R = Boltzmann’s constant, 23 1.38 10 JK B k - = ¥ Electron charge magnitude, 19 1.60 10 C e - = ¥ 1 electron volt, 19 1 eV 1.60 10 J - = ¥ Speed of light, 8 3.00 10 ms c = ¥ Universal gravitational constant, 11 3 2 6.67 10 m kg s G - = ¥ Acceleration due to gravity at Earth’s surface, 2 9.8 m s g = 1 unified atomic mass unit, 27 2 1 u 1.66 10 kg 931 MeV c - = ¥ = Planck’s constant, 34 15 6.63 10 Js 4.14 10 eV s h - = ¥ = ¥ - 25 3 1.99 10 Jm 1.24 10 eV nm hc - = ¥ = ¥ Vacuum permittivity, 12 2 2 0 8.85 10 C Nm e - = ¥ Coulomb’s law constant, 9 2 2 0 14 9.0 10 Nm C k pe = = ¥ Vacuum permeability, 7 0 4 10 (T m) A m p - = ¥ Magnetic constant, 7 0 4 1 10 (T m) A k m p - = = ¥ ¢ 1 atmosphere pressure, 5 2 1 atm 1.0 10 N m 1.0 10 Pa = ¥ = 5 ¥ UNIT SYMBOLS meter, m mole, mol watt, W farad, F kilogram, kg hertz, Hz coulomb, C tesla, T second, s newton, N volt, V degree Celsius, C ∞ ampere, A pascal, Pa ohm, W electron volt, eV kelvin, K joule, J henry, H PREFIXES Factor Prefix Symbol 12 10 tera T 9 10 giga G 6 10 mega M 3 10 kilo k 2 10 - centi c 3 10 - milli m 6 10 - micro m 9 10 - nano n 12 10 - pico p VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES q 0 30 37 45 53 60 90 sin q 0 12 35 22 45 32 1 cos q 1 32 45 22 35 12 0 tan q 0 33 34 1 43 3 • The following conventions are used in this exam. I. The frame of reference of any problem is assumed to be inertial unless otherwise stated. II. In all situations, positive work is defined as work done on a system. III. The direction of current is conventional current: the direction in which positive charge would drift. IV. Assume all batteries and meters are ideal unless otherwise stated. V. Assume edge effects for the electric field of a parallel plate capacitor unless otherwise stated. VI. For any isolated electrically charged object, the electric potential is defined as zero at infinite distance from the charged object
Transcript of AP PHYSICS 2 TABLE OF INFORMATION - AP Central · AP Physics 2 Course and Exam Description,...
© 2020 College Board
1 of 3 AP Physics 2: Algebra-Based Table of Information: Equations
AP® PHYSICS 2 TABLE OF INFORMATION
CONSTANTS AND CONVERSION FACTORS
Proton mass, 271.67 10 kgpm -= ¥
Neutron mass, 271.67 10 kgnm = ¥ -
Electron mass, 319.11 10 kgem -= ¥
Avogadro’s number, 23 10 6.02 10 molN -= ¥
Universal gas constant, 8.31 J (mol K)R =
Boltzmann’s constant, 231.38 10 J KBk -= ¥
Electron charge magnitude, 191.60 10 Ce -= ¥
1 electron volt, 191 eV 1.60 10 J-= ¥
Speed of light, 83.00 10 m sc = ¥ Universal gravitational
constant, 11 3 26.67 10 m kg sG -= ¥
Acceleration due to gravityat Earth’s surface,
29.8 m sg =
1 unified atomic mass unit, 27 21 u 1.66 10 kg 931 MeV c-= ¥ = Planck’s constant, 34 156.63 10 J s 4.14 10 eV sh -= ¥ = ¥ -
25 31.99 10 J m 1.24 10 eV nmhc -= ¥ = ¥
Vacuum permittivity, 12 2 20 8.85 10 C N me -= ¥
Coulomb’s law constant, 9 2 201 4 9.0 10 N m Ck pe= = ¥
Vacuum permeability, 70 4 10 (T m) Am p -= ¥
Magnetic constant, 70 4 1 10 (T m) Ak m p -= = ¥¢
1 atmosphere pressure, 5 21 atm 1.0 10 N m 1.0 10 Pa= ¥ = 5¥
UNIT SYMBOLS
meter, m mole, mol watt, W farad, F
kilogram, kg hertz, Hz coulomb, C tesla, T
second, s newton, N volt, V degree Celsius, C∞ampere, A pascal, Pa ohm, W electron volt, eV
kelvin, K joule, J henry, H
PREFIXES Factor Prefix Symbol
1210 tera T 910 giga G 610 mega M 310 kilo k 210- centi c 310- milli m 610- micro m910- nano n 1210- pico p
VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q 0
30
37 45 53
60 90
sinq 0 1 2 3 5 2 2 4 5 3 2 1
cosq 1 3 2 4 5 2 2 3 5 1 2 0
tanq 0 3 3 3 4 1 4 3 3 •
The following conventions are used in this exam. I. The frame of reference of any problem is assumed to be inertial unless
otherwise stated. II. In all situations, positive work is defined as work done on a system.
III. The direction of current is conventional current: the direction in whichpositive charge would drift.
IV. Assume all batteries and meters are ideal unless otherwise stated.V. Assume edge effects for the electric field of a parallel plate capacitor
unless otherwise stated.VI. For any isolated electrically charged object, the electric potential is
defined as zero at infinite distance from the charged object
© 2020 College Board
2 of 3 AP Physics 2: Algebra-Based Table of Information: Equations
AP® PHYSICS 2 EQUATIONS
MECHANICS 0x x a tà Ã= + x
20 0
12xx x t a tÃ= + + x
(2 20 2x x xa x xà Ã= + )0-
netFFa
m m= =Â
f nF m£ F
2
carÃ=
p mv=
p F tD = D
212
K mv=
cosE W F d Fd qD = = =
EPt
DD
=
20 0
12
tq q w a= + + t
0 tw w a= +
( ) ( )cos cos 2x A t A ftw= = p
i icm
i
m xx
m= ÂÂ
net
I Itt
a = =Â
sinr F rFt ^= = q
L Iw=
L ttD D=
212
K Iw=
sF k x=
212sU kx=
gU mg yD = D
2 1Tf
pw
= =
2smTk
p=
2pTg
p=
1 22g
m mF G
r=
gFg
m=
1 2G
Gm mU
r= -
a = acceleration A = amplitude d = distance E = energy F = force f = frequency I = rotational inertia K = kinetic energy k = spring constant L = angular momentum = lengthm = massP = powerp = momentumr = radius or separationT = periodt = timeU = potential energyv = speedW = work done on a
system x = position y = height a = angular acceleration m = coefficient of friction
q = angle t = torque w = angular speed
ELECTRICITY AND MAGNETISM
1 22
0
14E
q qF
rpe=
EFE
q=
20
14
qE
rpe=
EU q VD = D
0
14
qV
rpe=
VEr
DD
=
QV
CD =
0ACd
ke=
0
QE
Ae=
( 21 12 2CU Q V C VD= = )D
QI
tDD
=
RAr=
P I VD=
VIRD=
si
R R= Â i
1
p iiR R
= Â 1
p ii
C C= Â
1 1
s iiC C
= Â
0
2IBr
mp
=
MF qv B= ¥
sinMF qv Bq=
MF I B= ¥
sinMF I q= B
B B AF =
cosB B qF =A
B
te DF
D= -
B ve =
A = area B = magnetic field C = capacitance d = distance E = electric field e = emfF = force I = current = lengthP = powerQ = chargeq = point chargeR = resistancer = separationt = timeU = potential (stored)
energy V = electric potential v = speed k = dielectric
constant r = resistivity
q = angle F = flux
© 2020 College Board
3 of 3 AP Physics 2: Algebra-Based Table of Information: Equations
AP® PHYSICS 2 EQUATIONS
FLUID MECHANICS AND THERMAL PHYSICS
mV
r =
FPA
=
0P P ghr= +
bF Vgr=
1 1 2 2A v A v=
21 1
12
P gy vr+ + 1r
22 2
12
P gy vr r= + + 2
kA TQt L
DD
=
BPV nRT Nk T= =
32 BK k T=
W P VD= -
U Q WD = +
A = area F = force h = depth k = thermal conductivity K = kinetic energy L = thickness m = mass n = number of moles N = number of molecules P = pressure Q = energy transferred to a
system by heating T = temperature t = time U = internal energy V = volume v = speed W = work done on a system y = height r = density
WAVES AND OPTICS
vf
l =
cnÃ
=
1 1 2sin sinn q = 2n q
1 1 1
i os s f+ =
i
o
hM
h= = i
o
ss
L mlD =
sind q = ml
d = separation f = frequency or
focal length h = height L = distance M = magnification m = an integer n = index of
refraction s = distance v = speed l = wavelengthq = angle
MODERN PHYSICS
E hf=
maxK hf f= -
hp
l =
2E mc=
E = energy f = frequency K = kinetic energy m = mass p = momentum l = wavelengthf = work function
GEOMETRY AND TRIGONOMETRY
Rectangle A bh=
Triangle 12
A bh=
Circle 2A rp=
2C rp=
Rectangular solid V wh=
Cylinder 2V rp=
r22 2S rp p= +
Sphere
343
V rp=
24S rp=
Right triangle 2 2 2c a b= +
sin ac
q =
cos bc
q =
tan ab
q =
c a
b90q
A = area C = circumference V = volume S = surface area b = base h = height = lengthw = widthr = radius
