ch26notes - t = γ Δ t Rest frame – inertial frame where...

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Chapter 26 Notes College Physics by Giambattista et al. John B. Ross, Ph.D. IUPUI Physics Dept. Special Relativity Mechanics – theory of motion, relative velocities add as vectors E/M – charges make fields, e/m waves travel at c in vacuum Postulate 1: Laws of physics are the same in all inertial reference frames. Inertial frames do not accelerate; they are at rest or moving at constant velocity. What is the speed of the ball relative to the ground? 90 mph 50 mph What is the speed of the laser beam relative to the ground? c 0.5 c Postulate 2: Speed of light in a vacuum is the same in all inertial ref frames. Which beam hits first? c c 0.5 c Outcomes of Special Theory: Time dilation Δ
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Unformatted text preview: t = γ Δ t Rest frame – inertial frame where system is at rest (zero subscript). Length contraction L = L / γ Lorentz factor 2 ) / ( 1 1 c v Chapter 26 Notes College Physics by Giambattista et al. John B. Ross, Ph.D. IUPUI Physics Dept. Other results: Momentum p = γmv 2 2 2 ) ( KE K pc Rest energy E = mc 2 E pc c v Kinetic energy K = ( γ – 1) mc 2 Total energy 2 2 2 ) ( pc E E Units: 1 eV = 1.60×10 –19 J (energy unit) 1 eV/ c = 5.33×10 –28 kg-m/s (momentum unit) 1 eV/ c 2 = 1.78×10 –36 kg (mass unit) **Page 1 of textbook lists physical constants, including rest energies....
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