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Problems are listed in approximate order of difficulty. A single dot (•) indicates straigh...

Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.

• In the Tevatron, protons are injected from a ring that uses conventional magnets into the final superconducting ring with about 150 GeV. They then gain roughly 1 MeV per orbit as they move around the final ring. (a) Roughly how many orbits does a proton have to make in the final ring to gain the full energy of 1 TeV? (b) Given that the ring has radius 1 km, how far does the proton travel inside the final ring, and how long does this final acceleration take?

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