Physic b formula sheet, Cheat Sheet of Physics

Download Physic b formula sheet and more Cheat Sheet Physics in PDF only on Docsity! ADVANCED PLACEMENT PHYSICS 2 EQUATIONS, EFFECTIVE 2015 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 -1 0 6.02 10 molN = ¥ Universal gas constant, 8.31 J (mol K)R = i 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 -= ¥ i Acceleration due to gravity at 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 -= ¥ = ¥i 25 31.99 10 J m 1.24 10 eV nmhc -= ¥ = ¥i Vacuum permittivity, 12 2 2 0 8.85 10 C N me -= ¥ i Coulomb’s law constant, 9 2 01 4 9.0 10 N m Ck pe= = ¥ i AVacuum permeability, 7 0 4 10 (T m)m p -= ¥ i Magnetic constant, 7 0 4 1 10 (T m)k m p -= = ¥¢ i 5 1 atmosphere pressure, 5 21 atm 1.0 10 N m 1.0 10 Pa= ¥ = ¥ UNIT SYMBOLS meter, m kilogram, kg second, s ampere, A kelvin, K mole, mol hertz, Hz newton, N pascal, Pa joule, J watt, W coulomb, C volt, V ohm, henry, H farad, F tesla, T degree Celsius, C∞ W electron volt, eV 2 A i i PREFIXES Factor Prefix Symbol 1012 tera T 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 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 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. ADVANCED PLACEMENT PHYSICS 2 EQUATIONS, EFFECTIVE 2015 MECHANICS ELECTRICITY AND MAGNETISM 0x x xa tà Ã= + x x= + 2 0 0Ãx t + a t 2 1 x (2 2 0 2x x xa x xà Ã= + - )0 netFF a m m = =Â  f nF Fm£   2 ca r Ã= p mv=  p F tD D=  21 2 K mv= cosE W F d Fd qD = = = EP t D D = 2 0 0 1 2 t tq q w a= + + 0 tw w a= + ( ) ( )cos cos 2x A t A fw= = tp i i cm i m x x m =  net I I tt a = =Â  sinr F rFt ^= = q L Iw= L ttD D= 21 2 K Iw= sF k x=  a = acceleration A = amplitude d = distance E = energy F = force f = frequency I = rotational inertia K = kinetic energy k = spring constant L = angular momentum  = length m = mass P = power p = momentum r = radius or separation T = period t = time U = potential energy v = speed W = work done on a system x = position y = height a = angular acceleration m = coefficient of friction q = angle t = torque w = angular speed 21 2sU kx= gU mg yD D= 2 1T f p w = = 2s mT k p= 2pT g p=  1 2 2g m m F G r =  gF g m =  1 2 G Gm m U r = - 1 2 2 0 1 4E q q F rpe =  EF E q =   2 0 1 4 q E rpe =  EU q VD D= 0 1 4 q V rpe = VE r D D =  Q V C D = 0 AC d ke= 0 Q E Ae = ( 21 1 2 2CU Q V CD= = )VD Q I t D D = R A r=  P I VD= VI R D= s i R R=  i 1 1 p ii R R =  p i C C=  i 1 s i C =  1 iC 0 2 IB r m p = A = area B = magnetic field C = capacitance d = distance E = electric field e = emf F = force I = current  = length P = power Q = charge q = point charge R = resistance r = separation t = time U = potential (stored) energy V = electric potential v = speed k = dielectric constant r = resistivity q = angle F = flux MF qv B= ¥    sinMF qv q=   B MF I B= ¥    sinMF I Bq=    B B AF =   cosB B AqF =  B t e DF D = - B ve =  