Physics 2 Table of Information

PHYSICS 2 TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS m p 1.67 ¥ 10 -27 kg Proton mass, = e 1.60 ¥ 10 -19 C Electron charge magnitude, = Neutron mass, = mn 1.67 ¥ 10 -27 kg eV 1.60 ¥ 10 -19 J 1 electron volt, 1= Electron mass, = me 9.11 ¥ 10 -31 kg Avogadro’s number, = N 0 6.02 ¥ 1023 mol -1 R = 8.31 J (mol K) Universal gas constant, Speed of light, = c 3.00 ¥ 108 m s Universal gravitational G 6.67 ¥ 10 -11 m 3 kg s 2 constant, = Acceleration due to gravity g = 9.8 m s2 at Earth’s surface, Boltzmann’s constant, = kB 1.38 ¥ 10 -23 J K 1u = 1.66 ¥ 10 -27 kg = 931 MeV c 2 1 unified atomic mass unit, h= 6.63 ¥ 10 -34 J s = 4.14 ¥ 10 -15 eVs Planck’s constant, 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 1 4 pe = 9.0 ¥ 10 9 N  m 2 C2 0 m= 4 p ¥ 10 -7 (T m) A 0 Vacuum permeability, Magnetic constant, k ¢= 1 atm = 1.0 ¥ 10 5 N m 2 = 1.0 ¥ 10 5 Pa 1 atmosphere pressure, UNIT SYMBOLS meter, kilogram, second, ampere, kelvin, PREFIXES Factor Prefix Symbol 12 tera T 10 10 9 giga G 10 6 mega M 10 3 kilo k 10 -2 centi c 10 -3 milli m 10 -6 micro m 10 -9 nano n -12 pico p 10 m kg s A K mole, hertz, newton, pascal, joule, m0 4 p= 1 ¥ 10 -7 (T m) A mol Hz N Pa J watt, coulomb, volt, ohm, henry, W C V W H farad, tesla, degree Celsius, electron volt, F T ∞C eV VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES   q 0 30 sinq 0 12 cosq 1 tanq 0     90  37 45 53 60 35 2 2 45 3 2 1 3 2 45 2 2 35 12 0 3 3 34 1 43 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 1 of 3 Physics 2: Algebra-Based Table of Information: Equations 2020 PHYSICS 2 EQUATIONS MECHANICS = à x Ãx 0 + a x t x =x0 + Ãx 0 t + 1 2 at 2 x Ãx2 = Ãx20 + 2ax ( x - x0 )  = a   Fnet F  = m   Ff £ m Fn m Ã2 r ac =   p = mv   Dp = F Dt K = 1 2 mv 2 D= E W = F= d Fd cos q P= DE Dt q =q0 + w0t + 1 2 at 2 = w w0 + at = x A= cos ( wt ) A cos (2p ft ) x cm =  = a  mi xi  mi   t t  = net I I a A d E F f I K k L  m P p r T t U v W = = = = = = = = = = = = = = = = = = = = x y a m = = = = ELECTRICITY AND MAGNETISM  acceleration 1 q1q2 FE = amplitude 4 pe0 r 2 distance   FE energy E = q force frequency  1 q rotational inertia E = 4 pe0 r 2 kinetic energy spring constant DUE = qDV angular momentum length 1 q V = 4 pe0 r mass power  DV momentum E = Dr radius or separation period Q DV = time C potential energy A speed C = ke0 d work done on a system Q E = position e0 A height 1 1 angular acceleration = UC = QDV C ( DV )2 2 2 coefficient of friction q = angle t = torque w = angular speed 1 Us = kx 2 2 DUg = mg Dy = T 2p = w 1 f Ts = 2 p m k DL = t Dt Tp = 2 p  g 1 K = I w2 2  mm Fg = G 1 2 2 r   Fg g = m = t r= rF sin q ^F L = Iw   Fs = k x UG = - Gm1m2 r I = DQ Dt R= r A r= q = angle F = flux    FM = qv sin q B    FM= I  ¥ B DV R    FM = I  sin q B  Ri Rs = V = v = k = area magnetic field capacitance distance electric field emf force current length power charge point charge resistance separation time potential (stored) energy electric potential speed dielectric constant resistivity    FM = qv ¥ B P = I DV I = = = = = = e= F = I =  = P = Q = q = R = r = t = U = A B C d E   F B = B A i  Ri Cp =  Ci e= 1 = Cs  C1i e = B v B= 1   FB = B cos q A 1 = Rp i i i - DFB Dt m0 I 2p r 2 of 3 Physics 2: Algebra-Based Table of Information: Equations 2020 PHYSICS 2 EQUATIONS WAVES AND OPTICS FLUID MECHANICS AND THERMAL PHYSICS r= m V P= F A = P P0 + rgh Fb = rVg A1v1 = A2 v2 1 P1 + rgy1 + rv12 2 = P2 + rgy2 + 1 rv 2 2 2 kA DT Q = Dt L = PV nRT = NkBT K = = area = force = depth = thermal conductivity = kinetic energy = thickness = mass = number of moles = number of molecules = pressure = 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 r = density A F h k K L m n N P Q 3 k T 2 B l= v f n= c à n 1 sin q1 = n 2 sin q2 1 1 1 + = si so f = M hi = ho si so DL = ml d sin q = ml GEOMETRY AND TRIGONOMETRY Rectangle A = bh Triangle 1 A = bh 2 W = -P DV D U= Q + W Circle MODERN PHYSICS E = hf K max = hf - f l= h p E = mc 2 E= f = K= m= p = l= f= energy frequency kinetic energy mass momentum wavelength work function A = pr 2 C = 2 pr Rectangular solid V = wh Cylinder V = pr 2  = S 2 pr  + 2 pr 2 Sphere V = 4 3 pr 3 S = 4 pr Physics 2: Algebra-Based d = separation f = frequency or focal length h = height L = distance M = magnification m = an integer n = index of refraction s = distance v = speed l = wavelength q = angle 2 A= C= V= S = b = h = = w= r = area circumference volume surface area base height length width radius Right triangle 2 c= a 2 + b2 a sin q = c b cos q = c a tan q = b c q a 90 b 3 of 3 Table of Information: Equations 2020