AP Equation Sheet - Description PDF

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Appendix: AP

Appendix: AP P 2 Equations and Table of Information Tables for AP Physic The accompanying Table of Information an students when they take the AP Physics 1 a NOT bring their own copies of these tables may use them throughout the year in their with their content. The headings list the ef will only be changed when there is a revis Physics course home pages on AP Centra tables (apcentral.collegeboard.org). The Table of Information and the equation t cover of both the multiple-choice section an The Table of Information is identical for bot conventions. The equations in the tables express the relat frequently in the AP Physics 1 and 2 course do not include all equations that might poss

AP Physics 1 and AP Physics 2 Course and Exam Descrip

Some explanations about notation used in the equ 1. The symbols used for physical constants a Table of Information and are defined in t rather than in the right-hand columns of 2. Symbols with arrows above them represe 3. Subscripts on symbols in the equations ar cases of the variables defined in the right 4. The symbol ∆ before a variable in an equa change in the variable (e.g., fi nal value m 5. Several different symbols (e.g., d, r, s, h, ! dimensions such as length. The particula is one that is commonly used for that equ

Appendix: AP

ADVANCED PLACEMENT PHYSICS 1 TABLE CONSTANTS AND CONV Proton mass, m p  1.67  1027 kg

Electron charg

Neutron mass, m n  1.67  1027 kg

Coulomb’s

Electron mass, m e  9.11  10 31 kg

Universa

Speed of light,

UNIT SYMBOLS

Acceleration d at Ea

c  3.00  108 m s meter, kilogram, second, ampere,

PREFIXES Factor Prefix Symbol 12 tera T 10

m kg s A

kelvin, hertz, newton, joule,

K Hz N J

VALUES OF TRIGONO 



0

sin 

0

9

giga

G

10 6

mega

M

cos 

1

10 3

kilo

k

tan

0

10 2

centi

c

3

milli

m

6

micro



10 9

nano

n

12

pico

p

10

10 10

10

c

The following convention I. The frame of refere otherwise stated. II. Assume air resista III. In all situations, po IV. The direction of cu positive charge wo V. Assume all batteri

AP Physics 1 and AP Physics 2 Course and Exam Descrip

ADVANCED PLACEMENT PHYSICS 1 EQUATIO MECHANICS

x  x 0  ax t 1 x  x0   x0 t  a xt 2 2  x2   2x0  2a x  x  x0    Fnet  F  a m m   F f   Fn 2 ac  r   p  mv   p  F t

K 

1 2 mv 2

E  W  F d  Fd cos 

P

E t

   0   0t 

1 2 t 2

  0   t

x  Acos 2  ft      net   I I

  r F  rF sin 

a = d = E = f = F = h = I = K = k = L =  = m= P = p = r = T = t = U= V = v = W= x = =  =

acceleration distance energy frequency force height rotational inertia kinetic energy spring constant angular momentum length mass power momentum radius or separation period time potential energy volume speed work done on a system position angular acceleration coefficient of friction

 =  =  = =

angle density torque angular speed

 FE 

I 

 

R 

 A

I 

 R

PI Rs



1  Rp

 GE

Rectan A Triang

A Ug  mg y

T 

2 1   f

Circle

A C

Appendix: AP

ADVANCED PLACEMENT PHYSICS 2 TABLE O

CONSTANTS AND CONVE Proton mass, mp  1.67 1027 kg

Electro

Neutron mass, mn  1.67  10 27 kg Electron mass, me  9.11  10 31 kg Un

Avogadro’s number, N0  6.02  1023 mol-1 Universal gas constant,

Accele

R  8.31 J (mol K)

Boltzmann’s constant, kB  1.38  10 23 J K 1 unified atomic mass unit,

1

Planck’s constant,

h 

Vacuum permittivity,

Coulomb’s law constant, k  1 4  

Vacuum permeability,

Magnetic constant, k    0 4 1 atmosphere pressure,

UNIT SYMBOLS

meter, kilogram, second, ampere, kelvin,

PREFIXES Factor Prefix Symbol tera T 1012 109

giga

G

106

mega

M

m kg s A K

mole, hertz, newton, pascal, joule,

1a

mol Hz N Pa J

c

VALUES OF TRIGONO 



0

3

sin 

0

1

cos

1

AP Physics 1 and AP Physics 2 Course and Exam Descrip

ADVANCED PLACEMENT PHYSICS 2 EQUATIO MECHANICS  a = acceleration x  x 0  a x t  d = distance 1 E = energy x  x0  x 0 t  ax t2  2 F = force f = frequency 2 2 x  x 0  2 ax  x  x0  h = height I = rotational inertia    K = kinetic energy  F  Fnet  a m m k = spring constant L = angular momentum   Ff   Fn   = length m = mass 2   P = power ac  r p = momentum   r = radius or separation p  mv T = period   t = time p  F t  U = potential energy v = speed 1 K  mv2  W = work done on a system 2 x = position E  W  Fd  Fd cos    = angular acceleration  = coefficient of friction  E P   = angle t  = torque  = angular speed 1    0   0t   t2  2 1 U s  kx 2   0  t  2

x  A cos t   A cos  2 ft   Ug  mg  y xcm 

 mi x i   mi

T 

2 1   f

EL  FE 

1 4

  FE  E  q  E 

1 4 

UE  q 1 4 0

V 

 V E   r V 

Q  C

C  0 A d Q  0A

E 

UC 

1 Q 2

I 

Q  t

R 

  A

P  I V I  Rs  1

V  R

R i

Appendix: AP

ADVANCED PLACEMENT PHYSICS 2 E FLUID MECHANICS AND THERMAL PHYSICS



m  V

P 

F  A

P  P0  g h  Fb  Vg  A1v1  A2v 2 

P1  gy 1 

1 2 v 2 1

1  P2   gy2   v2 2 2 kA  T Q   L t

PV  nRT  Nk BT  K 

3 k T 2 B



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  = density 

W  P V  U  Q  W 

MODERN PHYSICS E  hf 

K max  hf    

h  p

E = energy f = frequency K = kinetic energy  = mass p = momentum  = wavelength...