Kinematics and Mechanicsx = x0+ v0xt + 1/2axt2vx= v0x+ axtv2x= v20x+ 2ax(x − x0)y = y0+ v0yt + 1/2ayt2vy= v0y+ aytv2y= v20y+ 2ay(y − y0)ΣFx= maxΣFy= mayFc=mv2rFg=Gm1m2r2P Eg= mghKEtrans= 1/2mv2p = mvF =∆p∆tP =WtElectrostaticsF =kq1q2r2F =14π²0q1q2r2~E =Fq~E =kQr2∆P E = −WVba= Vb− Va=P Ea− P Ebq=−Wbaq∆P E = q ∆VE =−VbadV = kQr=14π²0QrQ = C VC = ²0AdC = ²Ad² = K²0P E = 1/2QV = 1/2CV2= 1/2Q2CCurrentsI =∆Q∆tV = I RR = ρLAP = I V = I2R =V2RReq= R1+ R2+ R3= ΣiRi1Req=1R1+1R2+1R3= Σi1RiCeq= C1+ C2+ C3= ΣiCi(parallel)1Ceq=1C1+1C2+1C3= Σi1Ci(series)VC= V0(e−t/RC)MagnetismF = IlB sinθF = qvB sinθB =µ02πIrF2=µ02πI1I2l2dB =µ0NIlΦB= BAcosθEmf = −∆ΦB∆tEmf = −N∆ΦB∆tEmf = NBωAsin(ωt)VSVP=NSNPIPIS=NSNPWavesv = fλv =sFTm/LI ∝ A2I =P4πr2L =nλn2sinθ2sinθ1=v2v1θ ≈λLSoundvs= (331 + 0.60T) m/sβ = 10 log(II0)f0= f0(v ± vov ± vs)Geometric Opticsf =12r1do+1di=1fm =hiho= −didon =cvn1sinθ1= n2sinθ2Light as a waved sinθ = m λd sinθ = (m + 1/2) λD sinθ = m λI = I0cos2θSpecial Relativityγ =1p1 − v2/c2∆t =∆t0p1 − v2/c2= γ∆t0L = L0q1 − v2/c2=L0γp = γm0v =m0vp1 − v2/c2mrel= γm0=m0p1 − v2/c2E0= m0c2KE = (γ − 1)m0c2E = KE + m0c2= γm0c2E2= p2c2+ m20c4u =v + u01 + vu0/c2Quantum & AtomλPT = 2.90 × 10−3m KE = n hfE = hfp =Ec=hfc=hλλ =hpEn= −13.6 eVn2En= −13.6 eVZ2n2ConstantsG = 6.67 × 10−11N m2/kg2k = 9.0 × 109N m2/C2²0= 8.85 × 10−12C2/N · m21 eV = 1.6 × 10−19Jµ0= 4π × 10−7Tm/Avs= (331 + 0.60T) m/sc = 3.00 × 108m/sI0= 10−12W/m21amu = 1u = 1.6605×10−27kg = 931.5 MeV/c21eV = 1.60 × 10−19Jh = 6.626 × 10−34J sme= 9.11 × 10−31kgmp= 1.67 ×