Advanced Placement Physics C Formulas Cheat Sheet, Cheat Sheet of Physics

Download Advanced Placement Physics C Formulas Cheat Sheet and more Cheat Sheet Physics in PDF only on Docsity! ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS 00762-139-CED-Physics C-Mechanics_Appendixes.indd 164 3/13/19 12:15 PM Proton mass, m =p 1.67 ´ 10 27 kg Neutron mass, 271.67 10 kgnm = ´ Electron mass, 319.11 10 kgem = ´ Avogadro's number, 23 10 6.02 10 molN = ´ Universal gas constant, I . 8.31 J (mol K)R  Boltzmann's constant, 231.38 10 J KBk = ´ I Electron charge magnitude, 191.60 10 Ce = ´ 1 electron volt, 191 eV 1.60 10 J= ´ Speed of light, 83.00 10 m sc = ´ I Universal gravitational constant,  I 11 2 26.67 10 N m kgG = ´ . Acceleration due to gravity at Earth's surface, 29.8 m sg  I 1 unified atomic mass unit, 27 21 u 1.66 10 kg 931 MeV c= ´ = I 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 = ´ . I Coulomb's law constant,    9 2 201 4 9.0 10 N m Ck pe= = ´I I . Vacuum permeability, 70 4 10 (T m) Am p = ´ . I Magnetic constant,   70 4 1 10 (T m) Ak m p = = ´¢ I I . 1 atmosphere pressure, 5 2 51 atm 1.0 10 N m 1.0 10 Pa= ´ = ´I UNIT SYMBOLS meter, kelvin, 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 K joule, J henry, H PREFIXES Factor Prefix Symbol 109 giga G 106 mega M 103 kilo k 102 centi C 103 milli m 106 micro m 109 nano n 1012 pico p VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES q 0 30 37 45 53 60 90 sinq 0 1 2I 3 5I 2 2r; 4 5I 3 2r; 1 cosq 1 3 2r; 4 5I 2 2r; 3 5I 1 2I 0 tanq 0 3 3r; 3 4I 1 4 3I 3✓ ¥ The following assumptions are used in this exam. I. The frame of reference of any problem is inertial unless otherwise stated. II. The direction of current is the direction in which positive charges would drift. III. The electric potential is zero at an infinite distance from an isolated point charge. IV. All batteries and meters are ideal unless otherwise stated. V. Edge effects for the electric field of a parallel plate capacitor are negligible unless otherwise stated. 1 max f k 00762-139-CED-Physics C-Mechanics_Appendixes.indd 165 3/13/19 12:15 PM ADVANCED PLACEMENT PHYSICS C EQUATIONS MECHANICS 0Ã Ã x x a tx 2 0 0 2Ã  x xx x t a t 1  22 0 02Ã Ã  x x xa x x netFFa m m  å  dpF dt D òJ F dt p p mv m£f NF FI - I 1~ I D   òE W F dr 2 2 ÃK m 1  dEP dt P F v D DgU mg h 2 2Ã w ca rr t = ´r F tt a å   netI I 2 2I r dm mr  åò i i cm i m xx m å å Ã w r w= ´ =L r p I 21 2K Iw 0 tw w a  2 0 0 1 2t tq q w a   D sF k x  22 DsU k x cos(x x tw f   2 1T p w   F 2s mT p 2pT gp f 1 2 2G Gm mF r I - I 1 2 G Gm m U r  a = acceleration E= energy F= force f = frequency h = height I = rotational inertia J = impulse K= kinetic energy k = spring constant £ = length L = angular momentum m= mass P= power p = momentum r = radius or distance T= period t = time U= potential energy v = velocity or speed W= work done on a system x position = = = = m coefficient of friction q = angle t = torque w angular speed a angular acceleration f = phase angle -2- ELECTRICITY AND MAGNETISM 2 1 2 0 1 4peE q qF r  E FE q 0e ò QE dA  x dVE dx D  òV E dr 0 1 4pe å i ii qV r 1 2 0 1 4pe E q q U qV r D  QV C 0ke AC d p i i C C å 1 s iiC  å 1C dQI dt  21 12 2CU Q V C VD D  R A r  e rE J  dI Nev A D VI R i isR R å 1 1 i ipR R  å DP I V FM = qv ´ B 0mò B d I0 £ 0 24 m p ´  I d rdB r £ = ´òF I d B£ 0sB nIm F  òB B dA e F ò B dE d dt - 0 . £ dIL dte   21 2LU LI A= area B= magnetic field C= capacitance d = distance E= electric field e = emf F= force I = current J = current density L = inductance  = length n = number of loops of wire per unit length N= number of charge carriers per unit volume P= power Q= charge q = point charge R= resistance r = radius or distance t = time U= potential or stored energy V = electric potentia l v = velocity or speed r = resistivity F = flux k = dielectric constant -. .