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Advanced Placement Physics B Equations Newtonian Mechanics v v0 at 1 x x0 v0T at 2 2 2 2 v v0 2a x x0 F FNet ma F fric N 2 v r rF sin p mv J F t p 1 K mv 2 2 U g mgh ac W F r F r cos W Pavg t P F v Fv cos Fs kx 1 U s kx 2 2 m Ts 2 k l TP 2 g 1 T f Gm1m2 FG r2 Gm1m2 UG r Electricity and Magnetism a = acceleration F = Force f = frequency h = height J = impulse K = kinetic energy k = spring constant l = length m = mass N = normal force P = power p = momentum r = distance s = displacement T = period t = time U = potential energy v = velocity or speed W = work x = displacement = coefficient of friction = angle = torque 1 q1q2 4 0 r 2 F E q F U E qV E Avg 1 q1q2 4 0 r V d 1 4 0 Q C V V qi r i i 0 A d 1 1 U C QV CV 2 2 2 C Q t I Avg R l A V IR P IV CP Ci i 1 1 CS Ci i RS Ri i 1 1 RP Ri i FB qvB sin FB BIl sin I B 0 2 r m B A BA cos avg m t Blv A = Area B = Magnetic field C = Capacitance d = distance E = Electric Field Strength = emf F = Force I = Current l = length P = Power Q = charge q = point charge R = Resistance r = distance t = time U = potential (stored) energy V = Electric potential or Potential Energy v = velocity or speed = resistivity = magnetic field Fluid Mechanics and Thermal Physics p p0 gh FBuoy Vg Av 1 1 A2v2 1 p gy v 2 const. 2 l l0 T Q mL Q mcT p F A pV nRT 3 k BT 2 K avg vrms 3RT 3k BT M W pV Q ncT U Q W U ncV T a = acceleration F = Force f = frequency h = height J = impulse K = kinetic energy k = spring constant l = length m = mass N = normal force P = power p = momentum r = distance s = displacement T = period t = time U = potential (stored) energy v = velocity or speed W = work x = displacement = coefficient of friction = angle = torque d = separation f = frequency or length h = height L = Distance M = Magnification m = an integer n = index of refraction R = Radius of curvature s = distance v = speed s = distance = wavelength = angle d sin m xm m L d Circle A = bh 1 A bh 2 Triangle A r2 C 2 r Parallelepiped V lwh V r 2l S 2 rl 2 r 2 4 3 Sphere V r 3 S 4 r 2 Cylinder: Atomic and Nuclear Physics E m c 2 v f c n v n1 sin1 n2 sin 2 n sin C 2 n1 1 1 1 si so f h h M i i ho ho R f 2 Rectangle W QH T T ec H C TH h p Waves and Optics Geometry and Trigonometry e E hv pc Kmax hv Waves and Optics E = energy f = frequency K = kinetic energy m = mass p = momentum = wavelength = work function A = area C = circumference V = volume S = surface area b = base h = height l = length w = width r = radius Right Triangle a 2 b2 c2 a sin c b cos c a tan b c 9 0 b a