In modern collider experiments the beam energy Khas much greater energy than its rest

Chapter 14, Problem 29

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In modern collider experiments the beam energy Khas much greater energy than its rest energy1K W mc 2 2. If two particles each of mass m collidehead-on with each having beam energy K, the energyin the center of mass Ecm 2K. Show that two particlesof the same mass m colliding head-on with eachhaving kinetic energy K 1K W mc 2 2 have the samecenter-of-mass energy as the same particle of energyKlab in a fi xed-target accelerator colliding with thesame target particle, whereKlab 2K2mc 2

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