Protons having a kinetic energy of 3.10 MeV are moving in the positive x-direction and enter a magnetic field of 0.0670 T in the z-direction, out of the plane of the page, and extending from x = 0 to x = 1.00 m as in the figure below. A diagram contains a proton and field lines plotted on an x y coordinate plane, where the +x-axis is to the right and the +y-axis is upward. The proton enters the diagram from the left along the −x-axis, with an arrow extending from the proton pointing toward the right. Magnetic field lines point out of the page for all points on the x y plane for which 0 ≤ x ≤ 1.00 m. A dashed curve extends from the proton directly to the right along the −x-axis to the origin, enters the region of field and curves down and to the right, then leaves the field and points down and to the right in a straight line. (a) Calculate the y-component of the protons' momentum as they leave the magnetic field. (Indicate the direction with the sign of your answer.) kg · m/s (b) Find the angle ? between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Hint: Neglect relativistic effects and note that 1 eV = 1.60 10-19 J.
Protons having a kinetic energy of 3.10 MeV are moving in the positive x-direction and enter a magnetic field of 0.0670 T in the z-direction, out of the plane of the page, and extending from x = 0 to x = 1.00 m as in the figure below. A diagram contains a proton and field lines plotted on an x y coordinate plane, where the +x-axis is to the right and the +y-axis is upward. The proton enters the diagram from the left along the −x-axis, with an arrow extending from the proton pointing toward the right. Magnetic field lines point out of the page for all points on the x y plane for which 0 ≤ x ≤ 1.00 m. A dashed curve extends from the proton directly to the right along the −x-axis to the origin, enters the region of field and curves down and to the right, then leaves the field and points down and to the right in a straight line. (a) Calculate the y-component of the protons' momentum as they leave the magnetic field. (Indicate the direction with the sign of your answer.) kg · m/s (b) Find the angle ? between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Hint: Neglect relativistic effects and note that 1 eV = 1.60 10-19 J.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 75P
Related questions
Question
Protons having a kinetic energy of 3.10 MeV are moving in the positive x-direction and enter a magnetic field of 0.0670 T in the z-direction, out of the plane of the page, and extending from x = 0 to x = 1.00 m as in the figure below.
A diagram contains a proton and field lines plotted on an x y coordinate plane, where the +x-axis is to the right and the +y-axis is upward. The proton enters the diagram from the left along the −x-axis, with an arrow extending from the proton pointing toward the right. Magnetic field lines point out of the page for all points on the x y plane for which 0 ≤ x ≤ 1.00 m. A dashed curve extends from the proton directly to the right along the −x-axis to the origin, enters the region of field and curves down and to the right, then leaves the field and points down and to the right in a straight line.
(a) Calculate the y-component of the protons' momentum as they leave the magnetic field. (Indicate the direction with the sign of your answer.)
kg · m/s
(b) Find the angle ? between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Hint: Neglect relativistic effects and note that 1 eV = 1.60 10-19 J.
? = °
kg · m/s
(b) Find the angle ? between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Hint: Neglect relativistic effects and note that 1 eV = 1.60 10-19 J.
? = °
Transcribed Image Text:Protons having a kinetic energy of 3.10 MeV are moving in the positive x-direction and enter a magnetic field of 0.0670 T in the z-direction, out of the plane of the page, and
extending from x =
0 to x = 1.00 m as in the figure below.
x= 1.00 m
(a) Calculate the y-component of the protons' momentum as they leave the magnetic field. (Indicate the direction with the sign of your answer.)
kg • m/s
(b) Find the angle a between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field. Hint: Neglect relativistic
effects and note that 1 eV = 1.60 x 1019 J.
a =
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