An accelerator produces 5 × 1015 protons every 60 seconds and accelerates them up to a desired speed using a large voltage difference. (a) If the protons’ final speed is 2×105 m/s, then what is the magnitude of the voltage necessary to accelerate the protons from rest. Recall that a proton has the same magnitude of charge as an electron. (b) The accelerator also produces α particles (mass = 4 times the proton, and charge 2 times the proton). Given your answer to (a), what would be the final velocity of the α particles if they were subjected to the same voltage difference? (c) What is the current of the proton beam in amperes?

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An accelerator produces 5 × 1015 protons every 60 seconds and accelerates
them up to a desired speed using a large voltage difference.
(a) If the protons’ final speed is 2×105 m/s, then what is the magnitude of the voltage
necessary to accelerate the protons from rest. Recall that a proton has the same
magnitude of charge as an electron.
(b) The accelerator also produces α particles (mass = 4 times the proton, and charge
2 times the proton). Given your answer to (a), what would be the final velocity
of the α particles if they were subjected to the same voltage difference?
(c) What is the current of the proton beam in amperes?

 
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