ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, m p 1.67 10 27 kg Neutron mass, mn 1.67 10 27 kg Electron mass, me 9.11 10 31 kg 6.02 10 23 mol 1 Avogadro’s number, N 0 R Universal gas constant, 8.31 J (mol <K) 1.60 10 19 C 1 electron volt, 1 eV 1.60 10 19 J Speed of light, Universal gravitational constant, Acceleration due to gravity at Earth’s surface, 3.00 108 m s c 6.67 10 11 N<m 2 G kg 2 9.8 m s2 g 1.38 10 23 J K Boltzmann’s constant, k B 1 unified atomic mass unit, 1u 1.66 10 27 kg 931 MeV c 2 Planck’s constant, h 6.63 10 34 J <s 4.14 10 15 eV <s hc 1.99 10 25 J <m 1.24 103 eV < nm e0 8.85 10 12 C2 N < m 2 Vacuum permittivity, Coulomb’s law constant, k Magnetic constant, k 1 atmosphere pressure, meter, kilogram, second, ampere, kelvin, PREFIXES Factor Prefix Symbol m kg s A K mole, hertz, newton, pascal, joule, 1 4 pe0 m0 Vacuum permeability, UNIT SYMBOLS e Electron charge magnitude, m0 4 p 1 atm mol Hz N Pa J 9.0 109 N< m 2 C2 4 p 10 7 (T <m) A 1 10 7 (T< m) A 1.0 105 N m 2 watt, coulomb, volt, ohm, henry, W C V W H 1.0 105 Pa farad, tesla, degree Celsius, electron volt, F T C eV VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES D q 0 30D 37D 45D 53D 60D 90D 109 giga G sin q 0 12 35 2 2 45 3 2 1 106 mega M cos q 1 3 2 45 2 2 35 12 0 103 kilo k tan q 0 3 3 34 1 43 3 2 centi c 10 3 milli m 10 6 micro m 9 nano n 10 12 pico p 10 10 ADVANCED PLACEMENT PHYSICS C EQUATIONS MECHANICS Ãx Ãx 0 a x t x x0 Ãx 0 t Ãx2 G a G F G J G p Ãx 0 2 2 a x x x0 m G dp dt G Ô F dt G m FN G W K 1 2 mà 2 G t G a I G Ô F <dr dE dt G G F <v DUg ac G Dp G mv DE P G Fnet m G ÇF G Ff P 1 2 at 2 x mg Dh Ã2 r w2r Us G G r F G G t net Çt I I 2 Ô r dm Ç mr à rw G L G G r p K 1 2 Iw 2 w w0 at q q0 w0 t acceleration energy force frequency height rotational inertia impulse kinetic energy spring constant length angular momentum mass power momentum radius or distance period time potential energy velocity or speed work done on a system position coefficient of friction angle torque angular speed angular acceleration phase angle G k D x 1 k Dx 2 2 x xmax cos( wt f T 2p w 1 f 2 Ç mi xi Ç mi x cm a = E= F = f = h = I = J = K = k = A = L = m= P = p = r = T = t = U= v = W= x = m = q = t = w = a = f = G Fs G Iw 1 2 at 2 Ts 2p m k Tp 2p A g G FG Gm1m2 UG r2 Gm1m2 r