Physics C Equations Sheet - AP Central

1 ADVANCED PLACEMENT Physics C TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS AP Physics C: Mechanics Course and Exam Description164 | Appendix 1643/13/19 12:15 PMProton mass, m= 10 27 kgNeutron mass, kgnm = Electron mass, 10 kgem = Avogadro's number, 10 molN = Universal gas constant, I . J (mol K)R Boltzmann's constant, 10J KBk = I Electron charge magnitude, Ce = 1 electron volt, 191 J = Speed of light, m sc= I Universal gravitational constant, I 10 N mkgG = . Acceleration due to gravity at Earth's surface, m sg I 1 unified atomic mass unit, 2721 kg931 MeVc = =I Planck's constant, 10 J eV sh = =.

2 10 J eV nmhc = = .. Vacuum permittivity, 10CN me = . I Coulomb's law constant, 92201 10 N mCkpe== I I . Vacuum permeability, 70410 (T m) Amp = . I Magnetic constant, 7041 10 (T m) Akmp == I I . 1 atmosphere pressure, 5251 N 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, Campere, A pascal, Pa ohm, Welectron volt, eV K joule, J henry, H PREFIXES Factor Prefix Symbol109giga G 106mega M 103kilo k 10 2centi C 10 3milli m 10 6micro m10 9nano n 10 12pico p VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES q0 30 37 45 53 60 90 sinq0 12I 35I 22r; 45I 32r; 1 cosq1 32r; 45I 22r; 35I 12I 0 tanq0 33r; 34I 1 43I 3 The following assumptions are used in this exam.

3 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. AP Physics C: Mechanics Course and Exam DescriptionAppendix | 165 1maxfk00762-139-CED- Physics 1653/13/19 12:15 PMADVANCED PLACEMENT Physics C Equations MECHANICS 0 xxatx2002 xxx xtat1 22002 xxxax x netFFamm dpFdt D JF dtp pmv m fNFF I - I 1~ I D E WF dr22 Km 1 dEPdt P Fv DD gUmg h 22 w carr t= rF tta netII 22Ir dmmr iicmimxxm w r w= =LrpI 212 KIw 0tww a 20012ttqq w a D sFkx 22D sUkx cos(xxtwf 21 Tpw F 2smTp 2pTgp f 122 GGm mFr I - I 12 GGm mUr 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)

4 V= velocity or speed W= work done on a system x position = = = = mcoefficient of friction q= angle t= torque wangular speed aangular acceleration f= phase angle -2-ELECTRICITY AND MAGNETISM 212014pe EqqFr EFEq 0e QE dA xdVEdx D VE dr 014pe iiiqVr 12014pe EqqUqVr D QVC 0ke AC dpiiCC 1siiC 1 CdQIdt 21122 CUQVC VDD RAr e r EJ dINev A D VIR iisRR 11iipRR D P IV FM=qv B 0m BdI 0 024mp IdrdBr = FIdB 0sBnIm F BB dA eF BdEddt -0 . dILdte 212 LULI 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.

5 AP Physics C: Mechanics Course and Exam Description166 | Appendix 00762-139-CED- Physics 1663/13/19 12:15 PM ADVANCED PLACEMENT Physics C Equations GEOMETRY AND TRIGONOMETRY Rectangle A bhTriangle 12 Abh Circle 2 Arp 2 Crp srq Rectangular Solid Vwh f Cylinder 2 Vrp 222 Srrpp qSphere 343 Vrp 24 Srp Right Triangle 22 2abc sinacq cosbcq tanabq ~a~b A =area C =circumference V =volume S = surface area b =base h =height = length w =width r =radius s = arc length q= angle CALCULUS dfdfdudxdudx 1nndxnxdx axaxdeaedx daxdxx1ln sincos daxaaxdx cossin daxaaxdx 11,11nnxdxxnn = - 1 axaxedxea ln dxxaxa 1cossin axdxaxa 1sincos axdxaxa VECTOR PRODUCTS cosABABq sinABABq =