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13. A mass spectrometer uses a potential difference of 2.00 W to accelerate a singly charged ion. Then, a 0.4DDT magnetic field bends the ion
13. A mass spectrometer uses a potential difference of 2.00 W to accelerate a singly charged ion. Then, a 0.4DDT magnetic field bends the ion into a circular path of radius 0.226 m. What is the mass of the ion? EQUATIONS Kinematics Waves Atomic Physics Vave = Ad At d = vit - sat he T = 27VK hi = -di m = ho do W = hfo E = hf = - Av d = Vr+vit Ek = de stop N = NOCH) dave = At T = 2nNg = 7+ di d = vit + - at2 vez = viz+ 2ad T = + n2 sine Quantum Mechanics and Nuclear Physics nj sine2 AE = Amc- E = pc T2 n2 VI 21 v = fx V2 Dynamics mc(1 - cose) F net Gm m2 a = f = (VIV.)fs m F. = a = d sine n Trigonometry and Geometry 8| = Gm Line 1 = : sin0 = opposite hypotenuse Ay F , ni m = Ax Fs = -kx g = m adjacent cos0 = y = mx +b Electricity and Magnetism hypotenuse Momentum and Energy kq 192 tand = _ opposite Area AV = AE adjacent p = mv Ek = mv2 Rectangle = /w c2 = a2+62 F At = mAv Ep = mgh Triangle = Tab W = Fla|cose Ep = 5kx2 Fe a b C Circle = 172 E = q Fm = 1B sin A sin B sin C W = AE c2 = a2+62 - 2ab cos C Circumference P = W E = AV [Fm| = qv|B Circle = 2ar AdPHYSICS DATA SHEET Constants Prefixes Used with SI Units Particles Acceleration Due to Gravity Exponential Charge Mass Near Earth....". lag| =9.81 m/s2 Prefix Symbol Value Gravitational Constant ..... G =6.67 x 10-1 N.m2/kg2 10-18 Alpha Particle.... 6.65 x 10-2 kg atto Radius of Earth ... .... Te =6.37 x 105 m femto ...... f ...........10-15 Electron .... 9.11 x 10- kg Mass of Earth.................. Me =5.97 x 1024 kg pico...... P............ 10-12 Proton ..... 1.67 x 10-2 kg Elementary Charge .......... e = 1.60 x 10-19 C nano... 10-9 Coulomb's Law Constant .. k = 8.99 x 109 N.m2/C2 micro ...... / ......... 10-6 Neutron...... 0 1.67 x 10-27 kg Electron Volt .... .......... leV = 1.60 x 10-19 J milli......... m.............10-3 First-Generation Fermions Index of Refraction of Air. n = 1.00 centi..... 10-2 Charge Mass Speed of Light in Vacuum. c = 3.00 x 10 m/s deci... d..... 10 - 1 Electron .. ~0.511 MeV/c2 Planck's Constant ... h = 6.63 x 10-34 J.s deka ............ da........ 10' h = 4.14 x 10 eV.s 102 Positron ... ~0.511 MeV/c2 hecto ... h...... Atomic Mass Unit ....... u = 1.66 x 10"kg kilo .. k..... 103 Electron neutrino, v....... 0
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