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x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 2




                                                                      TABLE OF INFORMATION FOR 2002

                 CONSTANTS AND CONVERSION FACTORS                                                                UNITS                          PREFIXES

                                                           = 1.66 ™ 10 -27 kg
                                                                                                        Name         Symbol        Factor     Prefix   Symbol
             1 unified atomic mass unit,            1u
                                                                                                        meter                m     10 9       giga      G
                                                           = 931 MeV/c 2
                                                                                                        kilogram          kg       10 6       mega      M
                           Proton mass,               m p = 1.67 × 10 −27 kg
                          Neutron mass,               mn = 1.67 × 10 −27 kg                             second               s     10 3       kilo      k
                         Electron mass,              me = 9.11 × 10          −31
                                                                                   kg                                                   −2
                                                                                                        ampere               A     10         centi     c
       Magnitude of the electron charge,                 e = 1.60 × 10 −19 C                                                       10   −3
                                                                                                                                              milli     m
                                                                                                        kelvin               K
                   Avogadro’s number,                N0 = 6.02 × 10 23 mol −1
                                                                                                        mole             mol       10 −6      micro        µ
                 Universal gas constant,               R = 8.31 J / ( mol ¼ K )
                                                                                                        hertz            Hz        10 −9      nano      n
                  Boltzmann’s constant,               k B = 1.38 × 10 −23 J / K
                                                                                                        newton               N          −12
                         Speed of light,                 c = 3.00 × 10 8 m / s                                                     10         pico      p
                      Planck’s constant,              h = 6.63 × 10 −34 J ⋅ s                           pascal            Pa
                                                                                                                                 VALUES OF TRIGONOMETRIC FUNCTIONS
                                                           = 4.14 × 10       −15
                                                                                   eV ⋅ s                                               FOR COMMON ANGLES
                                                                                                        joule                J
                                                     hc = 1.99 × 10 −25 J ⋅ m                           watt              W          θ        sin θ     cos θ         tan θ
                                                           = 1.24 × 10 3 eV ⋅ nm                        coulomb              C      0
                                                                                                                                        o
                                                                                                                                               0               1       0
                   Vacuum permittivity,                ⑀ 0 = 8.85 × 10       −12
                                                                                    C / N⋅m
                                                                                        2           2
                                                                                                        volt                 V
                                                                                                                                   30o        1/2              3 /2    3 /3
               Coulomb’s law constant,      k = 1 / 4π ⑀ 0 = 9.0 × 10 N ⋅ m / C
                                                                         9                  2   2       ohm               Ω

                  Vacuum permeability,                µ 0 = 4π × 10 −7 (T ⋅ m ) / A                     henry                H
                                                                                                                                   37o        3/5       4/5           3/4
                     Magnetic constant,      k 
 = µ 0 / 4π = 10 (T ⋅ m ) / A
                                                                 −7                                     farad                F
                                                                                                        tesla                T     45o          2 /2           2 /2    1
        Universal gravitational constant,              G    = 6.67 ™ 10 -11 m 3 / kg ¼ s 2
                                                                                                        degree
             Acceleration due to gravity
                 at the Earth’s surface,                 g = 9.8 m / s   2                                Celsius        o
                                                                                                                             C     53o        4/5       3/5           4/3
                 1 atmosphere pressure,            1 atm = 1.0 × 10 5 N / m 2
                                                                                                        electron-
                                                                                                          volt           eV        60o          3 /2    1/2            3
                                                           = 1.0 × 10 5 Pa
                         1 electron volt,           1 eV = 1.60 × 10 −19 J                                                         90o             1           0      ∞

      The following conventions are used in this examination.
               I. Unless otherwise stated, the frame of reference of any problem is assumed to be inertial.
              II. The direction of any electric current is the direction of flow of positive charge (conventional current).
             III. For any isolated electric charge, the electric potential is defined as zero at an infinite distance from the charge.
           *IV. For mechanics and thermodynamics equations, W represents the work done on a system.

                  *Not on the Table of Information for Physics C, since Thermodynamics is not a Physics C topic.
x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 3




                                                  ADVANCED PLACEMENT PHYSICS B EQUATIONS FOR 2002

                              NEWTONIAN MECHANICS                                                         ELECTRICITY AND MAGNETISM
     u = u 0 + at                                   a =   acceleration                     1 q1 q 2                   A   =area
                                                                                    F=
                                                    F =   force                          4 p⑀ 0 r 2                   B   =magnetic field
                                       1 2
      x = x0 + u0 t +                    at         f =   frequency                                                   C   =capacitance
                                       2                                                 F
                                                    h =   height                    E=                                d   =distance
     u 2 = u 0 2 + 2a x - x 0      0          5     J =
                                                    K =
                                                          impulse
                                                          kinetic energy
                                                                                         q
                                                                                                        1 q1 q 2
                                                                                                                      E   =
                                                                                                                      e emf
                                                                                                                          =
                                                                                                                           electric field

                                                    k =   spring constant           UE = qV =                         F   =force
                                                                                                      4 p⑀ 0 r
      Ê F = Fnet = ma                               l =   length                                                      I   =current
                                                    m=    mass
                                                                                    E avg = −
                                                                                                  V                   l   =length
      F fric ˆ mN                                   N =   normal force                            d                   P   =power
                                                    P =   power                                                       Q charge
                                                                                                                          =
                                                                                                   ∑r
                                                                                           1               qi
             u2                                     p =   momentum                  V=                                q   =point charge
      ac =                                                                               4 p⑀ 0
                 r                                  r =   radius or distance                          i     i
                                                                                                                      R   =resistance
      t = rF sin q                                  r =   position vector               Q                             r   =distance
                                                                                    C=
                                                    T =   period                        V                             t   =time
      p = mv                                        t =   time                          ⑀0 A                          U potential (stored) energy
                                                                                                                          =
                                                    U=    potential energy          C=                                V   =electric potential or
                                                                                         d
      J = FDt =               Dp                    u =   velocity or speed                                                       potential difference
                                                                                         1   1                        u = velocity or speed
                                                    W=    work done on a system     Uc = QV = CV 2
             1                                      x =   position                       2   2                         r = resistivity
      K =      mu 2                                  m=                                                               fm = magnetic flux
             2                                            coefficient of friction             DQ
                                                    q =   angle                     I avg =
                                                                                              Dt
      DUg = mgh                                     t =   torque
                                                                                        ρl
                                                                                    R=
     W = F ؒ Dr = FDr cos q                                                              A
                                                                                    V = IR
      Pavg =
                     W                                                              P = IV
                     Dt
                                                                                    C p = ∑ Ci
      P = F ؒ v = Fu cos q                                                                    i
                                                                                    1     1
                                                                                       =∑
      Fs = - k x                                                                    Cs  i Ci

                 1 2                                                                Rs = ∑ Ri
     Us =          kx                                                                         i
                 2
                                                                                    1     1
                          m                                                            =∑
      Ts = 2 p                                                                      Rp  i Ri
                          k
                          l                                                         FB = qu B sin θ
      Tp = 2 p
                          g
                                                                                    FB = BIl sin θ
             1                                                                           m0 I
      T =                                                                           B=
             f
                                                                                         2p r
                     Gm1m2
      FG = -                                                                        fm = B • A = BA cos θ
                          r2
                                                                                                  Dfm
     UG = -
                      Gm1m2                                                         eavg = −
                        r                                                                         Dt
                                                                                    e = Blu
x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 4




                        ADVANCED PLACEMENT PHYSICS B EQUATIONS FOR 2002
        FLUID MECHANICS AND
        THERMAL PHYSICS                                 WAVES AND OPTICS

         p = p0 + rgh                    A = area                           u = fl                      d = separation
         Fbuoy = rVg                     c = specific heat or molar               c                     f = frequency or focal
                                                                            n =
        A1u1 = A2 u 2
                                                specific heat                     u                            length
                                         e = efficiency                     n 1 sin q1 = n 2 sin q 2    h = height
                     1
        p + rgy + ru 2 = const.          F = force
                                                                                        n2
                                                                                                        L = distance
                     2                   h = depth                          sin q c =                   M= magnification
        D l = a l 0 DT                   Kavg = average molecular                       n1              m = an integer
        Q = mL                                    kinetic energy            1    1    1                 n = index of refraction
                                                                               +    =
                                         L = heat of transformation         si   s0   f                 R = radius of curvature
        Q = mcDT                         l = length                                                     s = distance
                                                                                   hi     s
                                         M= molecular mass                  M =       = - i             u = speed
               F                                                                   h0     s0
         p =                             m = mass of sample                                             x = position
               A
                                         n = number of moles                      R                     l = wavelength
                                                                            f =
         pV = nRT                        p = pressure                             2                     q = angle
                                         Q = heat transferred to a system   d sin q = ml
                    3
         K avg =      k T                T = temperature                           ml L
                    2 B                                                     xm Ϸ
                                         U = internal energy                        d
                       3 RT     3k B T   V = volume
        u rms =             =
                        M         m      u = velocity or speed
                                         urms = root-mean-square
        W = - pDV                                 velocity
        Q = ncDT                         W = work done on a system
                                         y = height                            GEOMETRY AND TRIGONOMETRY
        DU = Q + W                       a = coefficient of linear
                                                 expansion                     Rectangle                 A=    area
        DU = ncV DT                      µ = mass of molecule                      A = bh                C=    circumference
                                         r = density                           Triangle                  V=    volume
               W
        e =                                                                             1                S =   surface area
               QH                                                                  A = bh
                                                                                        2                b =   base
               TH - TC                                                         Circle                    h =   height
        ec =                                                                       A = pr 2              l =   length
                 TH
                                                                                  C = 2 pr               w=    width
                                                                               Parallelepiped            r =   radius
        ATOMIC AND NUCLEAR PHYSICS                                                V = lwh
           E = hf = pc                   E   =   energy                        Cylinder
                                         f   =   frequency                        V = pr 2 l
           Kmax = hf − f                                                          S = 2 pr l + 2 pr 2
                                         K   =   kinetic energy
                   h                     m   =   mass                          Sphere
           l =                           p   =   momentum                               4
                                                                                  V = pr 3
                   p                                                                    3
                                         l   =   wavelength
           DE = ( Dm) c 2                f   =   work function                    S = 4 pr 2
                                                                               Right Triangle
                                                                                  a 2 + b2 = c2                       c        a
                                                                                           a
                                                                                  sin q =                         q       90
                                                                                           c
                                                                                                                      b
                                                                                            b
                                                                                  cos q = c
                                                                                             a
                                                                                  tan q = b
x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 5




                                         ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2002

                                   MECHANICS                                                   ELECTRICITY AND MAGNETISM
     u = u 0 + at                         a =   acceleration                     1 q1 q 2                A   =   area
                                                                          F=
                      1 2                 F =   force                          4 p⑀ 0 r 2                B   =   magnetic field
      x = x0 + u 0 t +  at
                      2                   f =   frequency                                                C   =   capacitance
                               0     5
                                                                               F
     u 2 = u 0 2 + 2a x - x 0             h =   height                    E=                             d   =   distance
                                                                               q
     Ê F = Fnet = ma
                                          I =   rotational inertia                                       E   =   electric field
                                          J =   impulse                   ͛ E • dA =
                                                                                           Q             e   =   emf
            dp                                                                             ⑀0
     F =                                  K =   kinetic energy                                           F   =   force
            dt
             I
     J = F dt = Dp
                                          k =
                                          l =
                                                spring constant
                                                length                    E=−
                                                                               dV
                                                                                dr
                                                                                                         I
                                                                                                         L
                                                                                                             =
                                                                                                             =
                                                                                                                 current
                                                                                                                 inductance
     p = mv                               L =   angular momentum                                         l   =   length
                                                                                           ∑r
                                                                               1                qi
     F fric ˆ mN                          m=    mass                      V=                             n   =   number of loops of wire per
                                                                             4 p⑀ 0
     W =         IF   œ   dr
                                          N =
                                          P =
                                                normal force
                                                power
                                                                                           i     i

                                                                                             1 q1 q 2    P =     power
                                                                                                                       unit length
             1                                                            UE = qV =
      K =       mu 2                      p =   momentum                                   4 p⑀ 0 r      Q=      charge
             2                            r =   radius or distance                                       q =     point charge
             dW                                                               Q
      P =                                 r =   position vector           C=                             R =     resistance
              dt                          T =   period                         V                         r =     distance
      P =    Fؒv                                                              k⑀ A
                                          t =   time                      C= 0                           t =     time
      DU g    = mgh                       U=    potential energy                 d                       U=      potential or stored energy
                 u 2 = w2r                u =   velocity or speed         C p = ∑ Ci                     V =     electric potential
     ac =                                 W=    work done on a system                  i                 u =     velocity or speed
           r
     t=r™F                                x =   position                  1
                                                                             =∑
                                                                                1                         r =    resistivity
     Ê t = t net = Ia                      m=   coefficient of friction   Cs  i Ci                       fm =    magnetic flux
             I
     I = r 2 dm = Ê mr 2
                                          q =
                                          t =
                                                angle
                                                torque                    I=
                                                                              dQ                         k =     dielectric constant
     rcm = Ê mr Ê m                       w=    angular speed                 dt
     u = rw                               a =   angular acceleration            1  1
                                                                          Uc = QV = CV 2
     L = r ™ p = Iw                                                             2  2
          1                                                                    rl
     K = Iw 2                                                             R=
          2                                                                    A
     w = w0 + at                                                          V = IR
     q = q 0 + w0 t + 1 at 2                                              Rs = ∑ Ri
                      2                                                                i
     Fs = - kx                                                            1     1
                                                                             =∑
            1                                                             Rp  i Ri
     Us = kx 2
            2
         2p       1                                                       P = IV
     T =      =
          w       f                                                       FM = qv × B

     Ts = 2 p
               m                                                          ͛ B • d ø = m0 I

     Tp = 2 p
                k
                l                                                              I
                                                                          F = I dø × B
                g                                                         Bs = m0 nI

     FG = -
              Gm1m2
                 r2
                      $
                      r                                                            I
                                                                          fm = B • dA
                                                                               dfm
     UG = -
              Gm1m2                                                       e=−
                  r                                                             dt
                                                                                 dI
                                                                          e = −L
                                                                                 dt
                                                                               1 2
                                                                          U L = LI
                                                                               2
x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 6




                                   ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2002

                    GEOMETRY AND TRIGONOMETRY

                Rectangle                   A=    area
                    A = bh                  C=    circumference
                Triangle                    V=    volume
                         1                  S =   surface area
                    A = bh
                         2                  b =   base
                Circle
                                            h =   height
                    A = pr 2                l=    length
                   C = 2 pr                 w=    width
                Parallelepiped              r =   radius
                   V = lwh
                Cylinder
                   V = pr 2 l
                   S = 2 prl + 2 pr 2
                Sphere
                         4
                   V = pr 3
                         3
                   S = 4 pr 2
                Right Triangle
                   a 2 + b2 = c2                         c        a
                            a
                   sin q =                           q       90
                            c
                                                         b
                           b
                   cos q =
                           c
                             a
                   tan q =
                             b


          CALCULUS

           df   d f du
              =
           dx   du dx
           d n
           dx
                2 7
              x = nx
                     n -1


           d x
           dx   2 7
              e = ex

           d             1
               (1n x) =
           dx            x
           d
               (sin x) = cos x
           dx
           d
               (cos x) = - sin x
           dx
           Ixn dx =
                         1 n +1
                      n +1
                            x    , n ž -1

           Ie x dx = e x

           I   dx
                x
                   = 1n x

           I   cos x dx = sin x
           I sin x dx = - cos x

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  • 1. x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 2 TABLE OF INFORMATION FOR 2002 CONSTANTS AND CONVERSION FACTORS UNITS PREFIXES = 1.66 ™ 10 -27 kg Name Symbol Factor Prefix Symbol 1 unified atomic mass unit, 1u meter m 10 9 giga G = 931 MeV/c 2 kilogram kg 10 6 mega M Proton mass, m p = 1.67 × 10 −27 kg Neutron mass, mn = 1.67 × 10 −27 kg second s 10 3 kilo k Electron mass, me = 9.11 × 10 −31 kg −2 ampere A 10 centi c Magnitude of the electron charge, e = 1.60 × 10 −19 C 10 −3 milli m kelvin K Avogadro’s number, N0 = 6.02 × 10 23 mol −1 mole mol 10 −6 micro µ Universal gas constant, R = 8.31 J / ( mol ¼ K ) hertz Hz 10 −9 nano n Boltzmann’s constant, k B = 1.38 × 10 −23 J / K newton N −12 Speed of light, c = 3.00 × 10 8 m / s 10 pico p Planck’s constant, h = 6.63 × 10 −34 J ⋅ s pascal Pa VALUES OF TRIGONOMETRIC FUNCTIONS = 4.14 × 10 −15 eV ⋅ s FOR COMMON ANGLES joule J hc = 1.99 × 10 −25 J ⋅ m watt W θ sin θ cos θ tan θ = 1.24 × 10 3 eV ⋅ nm coulomb C 0 o 0 1 0 Vacuum permittivity, ⑀ 0 = 8.85 × 10 −12 C / N⋅m 2 2 volt V 30o 1/2 3 /2 3 /3 Coulomb’s law constant, k = 1 / 4π ⑀ 0 = 9.0 × 10 N ⋅ m / C 9 2 2 ohm Ω Vacuum permeability, µ 0 = 4π × 10 −7 (T ⋅ m ) / A henry H 37o 3/5 4/5 3/4 Magnetic constant, k = µ 0 / 4π = 10 (T ⋅ m ) / A −7 farad F tesla T 45o 2 /2 2 /2 1 Universal gravitational constant, G = 6.67 ™ 10 -11 m 3 / kg ¼ s 2 degree Acceleration due to gravity at the Earth’s surface, g = 9.8 m / s 2 Celsius o C 53o 4/5 3/5 4/3 1 atmosphere pressure, 1 atm = 1.0 × 10 5 N / m 2 electron- volt eV 60o 3 /2 1/2 3 = 1.0 × 10 5 Pa 1 electron volt, 1 eV = 1.60 × 10 −19 J 90o 1 0 ∞ The following conventions are used in this examination. I. Unless otherwise stated, the frame of reference of any problem is assumed to be inertial. II. The direction of any electric current is the direction of flow of positive charge (conventional current). III. For any isolated electric charge, the electric potential is defined as zero at an infinite distance from the charge. *IV. For mechanics and thermodynamics equations, W represents the work done on a system. *Not on the Table of Information for Physics C, since Thermodynamics is not a Physics C topic.
  • 2. x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 3 ADVANCED PLACEMENT PHYSICS B EQUATIONS FOR 2002 NEWTONIAN MECHANICS ELECTRICITY AND MAGNETISM u = u 0 + at a = acceleration 1 q1 q 2 A =area F= F = force 4 p⑀ 0 r 2 B =magnetic field 1 2 x = x0 + u0 t + at f = frequency C =capacitance 2 F h = height E= d =distance u 2 = u 0 2 + 2a x - x 0 0 5 J = K = impulse kinetic energy q 1 q1 q 2 E = e emf = electric field k = spring constant UE = qV = F =force 4 p⑀ 0 r Ê F = Fnet = ma l = length I =current m= mass E avg = − V l =length F fric ˆ mN N = normal force d P =power P = power Q charge = ∑r 1 qi u2 p = momentum V= q =point charge ac = 4 p⑀ 0 r r = radius or distance i i R =resistance t = rF sin q r = position vector Q r =distance C= T = period V t =time p = mv t = time ⑀0 A U potential (stored) energy = U= potential energy C= V =electric potential or d J = FDt = Dp u = velocity or speed potential difference 1 1 u = velocity or speed W= work done on a system Uc = QV = CV 2 1 x = position 2 2 r = resistivity K = mu 2 m= fm = magnetic flux 2 coefficient of friction DQ q = angle I avg = Dt DUg = mgh t = torque ρl R= W = F ؒ Dr = FDr cos q A V = IR Pavg = W P = IV Dt C p = ∑ Ci P = F ؒ v = Fu cos q i 1 1 =∑ Fs = - k x Cs i Ci 1 2 Rs = ∑ Ri Us = kx i 2 1 1 m =∑ Ts = 2 p Rp i Ri k l FB = qu B sin θ Tp = 2 p g FB = BIl sin θ 1 m0 I T = B= f 2p r Gm1m2 FG = - fm = B • A = BA cos θ r2 Dfm UG = - Gm1m2 eavg = − r Dt e = Blu
  • 3. x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 4 ADVANCED PLACEMENT PHYSICS B EQUATIONS FOR 2002 FLUID MECHANICS AND THERMAL PHYSICS WAVES AND OPTICS p = p0 + rgh A = area u = fl d = separation Fbuoy = rVg c = specific heat or molar c f = frequency or focal n = A1u1 = A2 u 2 specific heat u length e = efficiency n 1 sin q1 = n 2 sin q 2 h = height 1 p + rgy + ru 2 = const. F = force n2 L = distance 2 h = depth sin q c = M= magnification D l = a l 0 DT Kavg = average molecular n1 m = an integer Q = mL kinetic energy 1 1 1 n = index of refraction + = L = heat of transformation si s0 f R = radius of curvature Q = mcDT l = length s = distance hi s M= molecular mass M = = - i u = speed F h0 s0 p = m = mass of sample x = position A n = number of moles R l = wavelength f = pV = nRT p = pressure 2 q = angle Q = heat transferred to a system d sin q = ml 3 K avg = k T T = temperature ml L 2 B xm Ϸ U = internal energy d 3 RT 3k B T V = volume u rms = = M m u = velocity or speed urms = root-mean-square W = - pDV velocity Q = ncDT W = work done on a system y = height GEOMETRY AND TRIGONOMETRY DU = Q + W a = coefficient of linear expansion Rectangle A= area DU = ncV DT µ = mass of molecule A = bh C= circumference r = density Triangle V= volume W e = 1 S = surface area QH A = bh 2 b = base TH - TC Circle h = height ec = A = pr 2 l = length TH C = 2 pr w= width Parallelepiped r = radius ATOMIC AND NUCLEAR PHYSICS V = lwh E = hf = pc E = energy Cylinder f = frequency V = pr 2 l Kmax = hf − f S = 2 pr l + 2 pr 2 K = kinetic energy h m = mass Sphere l = p = momentum 4 V = pr 3 p 3 l = wavelength DE = ( Dm) c 2 f = work function S = 4 pr 2 Right Triangle a 2 + b2 = c2 c a a sin q = q 90 c b b cos q = c a tan q = b
  • 4. x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 5 ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2002 MECHANICS ELECTRICITY AND MAGNETISM u = u 0 + at a = acceleration 1 q1 q 2 A = area F= 1 2 F = force 4 p⑀ 0 r 2 B = magnetic field x = x0 + u 0 t + at 2 f = frequency C = capacitance 0 5 F u 2 = u 0 2 + 2a x - x 0 h = height E= d = distance q Ê F = Fnet = ma I = rotational inertia E = electric field J = impulse ͛ E • dA = Q e = emf dp ⑀0 F = K = kinetic energy F = force dt I J = F dt = Dp k = l = spring constant length E=− dV dr I L = = current inductance p = mv L = angular momentum l = length ∑r 1 qi F fric ˆ mN m= mass V= n = number of loops of wire per 4 p⑀ 0 W = IF œ dr N = P = normal force power i i 1 q1 q 2 P = power unit length 1 UE = qV = K = mu 2 p = momentum 4 p⑀ 0 r Q= charge 2 r = radius or distance q = point charge dW Q P = r = position vector C= R = resistance dt T = period V r = distance P = Fؒv k⑀ A t = time C= 0 t = time DU g = mgh U= potential energy d U= potential or stored energy u 2 = w2r u = velocity or speed C p = ∑ Ci V = electric potential ac = W= work done on a system i u = velocity or speed r t=r™F x = position 1 =∑ 1 r = resistivity Ê t = t net = Ia m= coefficient of friction Cs i Ci fm = magnetic flux I I = r 2 dm = Ê mr 2 q = t = angle torque I= dQ k = dielectric constant rcm = Ê mr Ê m w= angular speed dt u = rw a = angular acceleration 1 1 Uc = QV = CV 2 L = r ™ p = Iw 2 2 1 rl K = Iw 2 R= 2 A w = w0 + at V = IR q = q 0 + w0 t + 1 at 2 Rs = ∑ Ri 2 i Fs = - kx 1 1 =∑ 1 Rp i Ri Us = kx 2 2 2p 1 P = IV T = = w f FM = qv × B Ts = 2 p m ͛ B • d ø = m0 I Tp = 2 p k l I F = I dø × B g Bs = m0 nI FG = - Gm1m2 r2 $ r I fm = B • dA dfm UG = - Gm1m2 e=− r dt dI e = −L dt 1 2 U L = LI 2
  • 5. x6-Physics Insert SINGLE PGS 3/21/01 3:24 AM Page 6 ADVANCED PLACEMENT PHYSICS C EQUATIONS FOR 2002 GEOMETRY AND TRIGONOMETRY Rectangle A= area A = bh C= circumference Triangle V= volume 1 S = surface area A = bh 2 b = base Circle h = height A = pr 2 l= length C = 2 pr w= width Parallelepiped r = radius V = lwh Cylinder V = pr 2 l S = 2 prl + 2 pr 2 Sphere 4 V = pr 3 3 S = 4 pr 2 Right Triangle a 2 + b2 = c2 c a a sin q = q 90 c b b cos q = c a tan q = b CALCULUS df d f du = dx du dx d n dx 2 7 x = nx n -1 d x dx 2 7 e = ex d 1 (1n x) = dx x d (sin x) = cos x dx d (cos x) = - sin x dx Ixn dx = 1 n +1 n +1 x , n ž -1 Ie x dx = e x I dx x = 1n x I cos x dx = sin x I sin x dx = - cos x