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A cyclotron particle accelerator (sometimes called an "atom smasher" in the popular press) is a device for accelerating charged particles, such as electrons and protons, to speeds close to the speed of light. The basic design is quite simple. The particle is bent in a circular path by a uniform magnetic field. An electric field is pulsed periodically to increase the speed of the particle. .The largest cyclotron in the United States is the Tevatron at Fermilab, near Chicago, Illinois. It is called a Tevatron because it can accelerate particles to energies in the TeV range (1.00tera -eV = 1.00×10^12eV ). Its circumference is 6.40km , and it currently can produce a maximum energy of 2.00TeV . In a certain medical experiment on the Tevatron, protons will be accelerated to energies of 1.25MeV and aimed at a tumor to destroy its cells.
Part A How fast are these protons moving when they hit the tumor?
v=____________m/s
Part B How strong must the magnetic field be to bend the protons in the circle indicated?
B=_____________T
Your expression should give 3.0 m/s for and your answer to part A for theta. Express your answer in terms of theta. Sketch a graph of v versus theta for one complete revolution.
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