Download Advanced Placement Physics C: Constants, Conversion Factors, and Equations and more Cheat Sheet Mathematical Statistics in PDF only on Docsity! ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, m,, = 1.67 x 107” kg Electron charge magnitude, ¢ = 1.60 x 10°! C Neutron mass, m, = 1.67 x 1077 kg 1 electron volt, 1 eV = 1.60 x 107? J Electron mass, m, = 9.11 x 10! kg Speed of light, — ¢ = 3.00 x 10° m/s Universal gravitational constant, iver: 4 = Acceleration due to gravity _ 2 Universal gas constant, R = 8.31 J/(mol-K) at Earth’s surface, 8 = 98 m/s Avogadro’s number, Ng = 6.02 x 10% mol! G = 6.67 x10"! (Nem?) /kg? Boltzmann’s constant, kg = 1.38 x 107J/K 1 unified atomic mass unit, lu = 1.66 x 107” kg = 931 MeV/c? Planck’s constant, h = 6.63 x10 Jes = 4.14 x 107P eVes he = 1.99 x 10° Jom = 1.24 x 10° eV-nm Vacuum permittivity, Ey = 8.85 x 10°? C?/(N-m?) Coulomb’s law constant, k = 1/(4meq) = 9.0 x 10° (Nem?)/c? Vacuum permeability, My = 4a x 1077 (T-m)/A Magnetic constant, k’ = y/(4) = 1x 1077 (T-m)/A 1 atmosphere pressure, latm = 1.0 x 10° N/m? = 1.0 10° Pa meter, m mole, mol watt, WwW farad, F UNIT kilogram, __kg hertz, Hz coulomb, Cc tesla, T SYMBOLS second, s newton, N volt, Vv degree Celsius, °C ampere, A pascal, Pa ohm, Qa electron volt, eV kelvin, K joule, J henry, H PREFIXES VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES Factor | Prefix | Symbol a o 30° 37° 45° 53° 60° 90° 10° giga G sind 0 /2 3/5 | V2/2 | 4/5 | vB/2 1 10° | mega M cos 1 v3/2. | 4/5 | V2/2 | 3/5 1/2 0 10? kilo k tan 0 3/3 | 3/4 1 4/3 3 co 1072 centi c 107 milli m The following assumptions are used in this exam. 10-6 micro nm I. The frame of reference of any problem is inertial unless otherwise stated. 10” nano n Il. The direction of current is the direction in which positive charges 1072 pico p would drift. Ill. 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. ADVANCED PLACEMENT PHYSICS C EQUATIONS MECHANICS Vy = Vxq + ayt _ 1 2 X= Xp tVyol + gat 2 ve = Vyq> + 2a, (x — x9) ae LF fia mm J=|Fdt=Ap p=mb lF/| < Fv Kaz dE p=& dt P=Fi AU, = mgAh == or T=7xF ®@=@+at 9=6% +aot+ far RSP QU PV VES FRO TES TMS 1 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 it = coefficient of friction 6 = angle vt = torque angular speed = angular acceleration @ = phase angle F, =-kAx u, =+k(ax) $2 X = Xygx COS(@t + $) ati T= Oo. f m T, = 20 Te ELECTRICITY AND MAGNETISM $é-di= 2 £0 WV E _& * dx AV = -| Badr -ly4 Amey i 1 4h U, =qQv= zB Ane Q AV == Cc REA c= d Cp = XG 1 1 —= Y= Cy TG dQ [== dt _l _l 2 Uc = zOAV = = C(AV) pl R= A E= pJ I = NevjA AV. a R A = area B = magnetic field C = capacitance d = distance E = electric field € = emf F = force T = 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 potential v = velocity or speed p = resistivity ® = flux k = dielectric constant Fy =qQxB GB-dl= wl 1% I dix r 4x F=[ratxB By = Mont ®, = [Bedi = d® € = PEed( =-—4 dt ad e=-1] dt 12 U, =7LI- 12
