A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 10¹3 m/s² in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
D21 Ebert Just Mercy film review -1B X
Just Mercy Seminar - Google Doc X
Magnetic Field CW-C55720 HP X +
webassign.net/web/Student/Assignment-Responses/last?dep=29325785#Q5
0
A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 1013 m/s² in the positive
x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field.
Step 1
By Newton's second law, F F = ma. The magnetic force is the only force accelerating the proton, so we have the following.
F = ma = qvB sin 90°
We have a magnetic force in the +x-direction of
F
= = (1.67 × 10-27 kg)(2.75 ✔
2.75 x 10¹3 m/s²) = 4.5925
4.59 x 10-14 N.
Step 2
Solving for the magnitude of the magnetic field, we have the following.
4.59
F
✓x 10-14 N
B =
10-14 N)
x 107 m/s)
qv
1.60 x 10-19
1.65
x 10-2 T = 0.01738636364
X
Your response is off by a multiple of ten. mT
8:25
O
Submit Skip (you cannot come back)
O
Sign out
LOX
⠀
1 INTL
Transcribed Image Text:D21 Ebert Just Mercy film review -1B X Just Mercy Seminar - Google Doc X Magnetic Field CW-C55720 HP X + webassign.net/web/Student/Assignment-Responses/last?dep=29325785#Q5 0 A proton moves perpendicular to a uniform magnetic field B at a speed of 1.65 x 107 m/s and experiences an acceleration of 2.75 x 1013 m/s² in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field. Step 1 By Newton's second law, F F = ma. The magnetic force is the only force accelerating the proton, so we have the following. F = ma = qvB sin 90° We have a magnetic force in the +x-direction of F = = (1.67 × 10-27 kg)(2.75 ✔ 2.75 x 10¹3 m/s²) = 4.5925 4.59 x 10-14 N. Step 2 Solving for the magnitude of the magnetic field, we have the following. 4.59 F ✓x 10-14 N B = 10-14 N) x 107 m/s) qv 1.60 x 10-19 1.65 x 10-2 T = 0.01738636364 X Your response is off by a multiple of ten. mT 8:25 O Submit Skip (you cannot come back) O Sign out LOX ⠀ 1 INTL
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON