A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies. The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers). Electric field between the dees Dees South pole of magnet PRET North pole of magnet High-frequency alternating voltage -Source of protons Particle path A description of the cyclotron can be found in section 19.3 of the text. If a proton (of mass 1.673x10-27 kg) is accelerated to its maximum velocity inside a dee with radius 1.32cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 1.84x10-²T, what is the resulting velocity of the proton in units of km/s (kilometer per second)? Note: It is understood that the unit of your answer is in km/s, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit, your answer will be counted wrong.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 26P: (a) Viewers of Star Trek have heard of an antimatter drive on the Starship Enterprise. One...
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A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic
energies. The resulting beams of highly energetic particles then can be used for many medical
applications, including Proton Therapy (a more precise form of "radiation" used in the treatment
of some cancers).
Electric field
between the dees
Dees
South pole of magnet
PRET
North pole of magnet
High-frequency
alternating
voltage
-Source of
protons
Particle path
A description of the cyclotron can be found in section 19.3 of the text. If a proton (of mass
1.673x10-27 kg) is accelerated to its maximum velocity inside a dee with radius 1.32cm (this is
the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic
field has a magnitude of 1.84x10-²T, what is the resulting velocity of the proton in units of km/s
(kilometer per second)?
Note: It is understood that the unit of your answer is in km/s, however do not explicitly include
units in your answer. Enter only a number. If you do enter a unit, your answer will be counted
wrong.
Transcribed Image Text:A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies. The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers). Electric field between the dees Dees South pole of magnet PRET North pole of magnet High-frequency alternating voltage -Source of protons Particle path A description of the cyclotron can be found in section 19.3 of the text. If a proton (of mass 1.673x10-27 kg) is accelerated to its maximum velocity inside a dee with radius 1.32cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 1.84x10-²T, what is the resulting velocity of the proton in units of km/s (kilometer per second)? Note: It is understood that the unit of your answer is in km/s, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit, your answer will be counted wrong.
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