A charged particle with a mass of 2.58x10-22 kg and a charge of ±2.31x10-17 C enters a magnetic field oriented into the page with a magnitude of 0.13 T. The particle experiences a Lorentz force with a magnitude of 5.16x10-14 N while it is inside the magnetic field. Depending on the sign of the charge, the particle will take one of two circular paths shown on the figure. What velocity did the particle have when it entered the field? As soon as the particle enters the magnetic field, it experiences a Lorentz force toward the bottom of the page. Does the particle carry a positive or a negative charge? Will the Lorentz force cause the particle to speed up, slow down, or maintain the same speed?

Principles of Physics: A Calculus-Based Text
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Chapter31: Particle Physics
Section: Chapter Questions
Problem 52P
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A charged particle with a mass of 2.58x10-22 kg and a charge of ±2.31x10-17 C enters a magnetic field oriented into the page with
a magnitude of 0.13 T. The particle experiences a Lorentz force with a magnitude of 5.16x10-14 N while it is inside the magnetic
field. Depending on the sign of the charge, the particle will take one of two circular paths shown on the figure.
What velocity did the particle have when it entered the field?
V =
As soon as the particle enters the magnetic field, it experiences a Lorentz force toward the bottom of the page. Does the particle
carry a positive or a negative charge?
Will the Lorentz force cause the particle to speed up, slow down, or maintain the same speed?
How far away from where the charge enters the field will it exit the field? Find the distance marked "d" on the figure. There are two
distances marked "d" because you were asked to decide whether the charge was positive or negative. Only one of the distances
applies to your problem. The other will be irrelevant.
d =
m
Transcribed Image Text:+ 12 d d A charged particle with a mass of 2.58x10-22 kg and a charge of ±2.31x10-17 C enters a magnetic field oriented into the page with a magnitude of 0.13 T. The particle experiences a Lorentz force with a magnitude of 5.16x10-14 N while it is inside the magnetic field. Depending on the sign of the charge, the particle will take one of two circular paths shown on the figure. What velocity did the particle have when it entered the field? V = As soon as the particle enters the magnetic field, it experiences a Lorentz force toward the bottom of the page. Does the particle carry a positive or a negative charge? Will the Lorentz force cause the particle to speed up, slow down, or maintain the same speed? How far away from where the charge enters the field will it exit the field? Find the distance marked "d" on the figure. There are two distances marked "d" because you were asked to decide whether the charge was positive or negative. Only one of the distances applies to your problem. The other will be irrelevant. d = m
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