PHYS 0174 Final: Phys 0174 FinalEquationSheet -344

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31 Jan 2019
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= f (cid:12)(cid:12)(cid:12)(cid:12) d~p dt(cid:12)(cid:12)(cid:12)(cid:12) where r is the radius of the kissing circle and n points in the direction of ~f (toward center of circle). Speed of light c = 3 108m/s g = 6. 7 10 11 n m2 kg2. ~fspring(cid:12)(cid:12)(cid:12) where a negative u0 makes uspring < 0. It is the same value for initial and nal states, so it cancels from the energy principle formula. Idealized mass-spring oscillator x = a cos t = a cos r ks m t! f = L/l ks,i d (in terms of atomic quantities) Kinetic energy, valid at any speed less than c k = e mc2 vsound = dr ks,i m. Kinetic energy, valid at speeds much less than c k . Relationship between relativistic energy and momentum of a particle e2 (pc)2 = (mc2)2 m|~v|2. ~la = h(ypz zpy), (zpx xpz), (xpy ypx)i.