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 High-frequency alternating voltage Source of protons - Particle path North pole of magnet 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 4.85cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 1.06x10-2T, 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.

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter24: Magnetic Fields
Section24.2: Forces Caused By Magnetic Fields
Problem 33SSC
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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
B
South pole of magnet
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 1.673x10-27kg) is accelerated to its maximum velocity inside a
dee with radius 4.85cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of
1.06x10-2T, 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 B South pole of magnet 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 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 4.85cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 1.06x10-2T, 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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