Sample #2 is attached A proton moves through a magnetic field of magnitude 2.0 T at a speed of5.00 x 106 m/s perpendicular to the field. Find the (a) centripetalacceleration and (b) radius of the circular path of the proton.2.Given:B = 2.0 T; v = 5.00 x 106 m/s;Mass and charge of a proton: m = 1.67 x 10-27 kg' q = 1.60 x 10-19 CSolution and Answer:(a) The magnetic force is computed first.F = lq|vB sin 6 = |1.60 x 10-19 CI(5.00 x 106 m/s)(2 T) sin 90°F = 1.6 x 10-12 NUsing Newton's second law of motion,1.6 x 10-12 Nm 1.67 x 10-27 kg= 9.58 × 1014(b) Using the formula for centripetal acceleration a =v2 (5.00 x 106 m)²r =a9.58 x 1014 m= 0.026 = 2.6 × 10-2 m 2. Refer to Sample Problem No. 2. Prove that r= 2.6 x 10-2 m using the equation%3Dmvr=-Iq|BShow your solution and answer.

Answered: Image /qna-images/answer/6c3e008e-7ecf-4b01-9bd3-fe914189dabf.jpg

Answered: 2. Refer to Sample Problem No. 2. Prove…

2. Refer to Sample Problem No. 2. Prove that r= 2.6 x 10-2 m using the equation mv r = Iq|B Show your solution and answer.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 43PQ

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Question

Sample #2 is attached

A proton moves through a magnetic field of magnitude 2.0 T at a speed of
5.00 x 106 m/s perpendicular to the field. Find the (a) centripetal
acceleration and (b) radius of the circular path of the proton.
2.
Given:
B = 2.0 T; v = 5.00 x 106 m/s;
Mass and charge of a proton: m = 1.67 x 10-27 kg' q = 1.60 x 10-19 C
Solution and Answer:
(a) The magnetic force is computed first.
F = lq|vB sin 6 = |1.60 x 10-19 CI(5.00 x 106 m/s)(2 T) sin 90°
F = 1.6 x 10-12 N
Using Newton's second law of motion,
1.6 x 10-12 N
m 1.67 x 10-27 kg
= 9.58 × 1014
(b) Using the formula for centripetal acceleration a =
v2 (5.00 x 106 m)²
r =
a
9.58 x 1014 m= 0.026 = 2.6 × 10-2 m

2. Refer to Sample Problem No. 2. Prove that r= 2.6 x 10-2 m using the equation
%3D
mv
r=-
Iq|B
Show your solution and answer.

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