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Refer to diagram 1b. As in problem 1: an atomic particle of mass m = 8.99x10²21 kg, charge 0.469x10-15 c is shot southward at v = 3.05x106 m/s toward a vertical wall, and when the particle is distance d = 4.51 cm from the wall a magnetic field is turned on: it has magnitude 22.1 T and points upward. This time, however, the magnetic field is not strong enough to stop the particle from hitting the wall. Find x, the distance the particle is deflected to the west before it hits the wall, in mm. HINT: The force on the charge is not constant, since the direction changes; therefore, you cannot use kinematics!! This problem can be solved easily with a little geometry. QUESTION: You get two roots: which is the answer you seek, and what is the meaning of the other root?

Refer to diagram 1b. As in problem 1: an atomic particle of mass m = 8.99x10²21 kg, charge 0.469x10-15 c is shot southward at v = 3.05x106 m/s toward a vertical wall, and when the particle is distance d = 4.51 cm from the wall a magnetic field is turned on: it has magnitude 22.1 T and points upward. This time, however, the magnetic field is not strong enough to stop the particle from hitting the wall. Find x, the distance the particle is deflected to the west before it hits the wall, in mm. HINT: The force on the charge is not constant, since the direction changes; therefore, you cannot use kinematics!! This problem can be solved easily with a little geometry. QUESTION: You get two roots: which is the answer you seek, and what is the meaning of the other root?

College Physics
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)...
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Refer to diagram 1b. As in problem 1: an atomic particle of mass m = 8.99x1021 kg, charge 0.469x10-15 C is shot southward at v = 3.05x106 m/s toward a vertical wall, and when the particle is distance d = 4.51 cm from the wall a magnetic field is turned on: it has magnitude 22.1 T and points upward. This time, however, the magnetic field is not strong enough to stop the particle from hitting the wall. Find x, the distance the particle is deflected to the west before it hits the wall, in mm. HINT: The force on the charge is not constant, since the direction changes; therefore, you cannot use kinematics!! This problem can be solved easily with a little geometry. QUESTION: You get two roots: which is the answer you seek, and what is the meaning of the other root?
Transcribed Image Text:Refer to diagram 1b. As in problem 1: an atomic particle of mass m = 8.99x1021 kg, charge 0.469x10-15 C is shot southward at v = 3.05x106 m/s toward a vertical wall, and when the particle is distance d = 4.51 cm from the wall a magnetic field is turned on: it has magnitude 22.1 T and points upward. This time, however, the magnetic field is not strong enough to stop the particle from hitting the wall. Find x, the distance the particle is deflected to the west before it hits the wall, in mm. HINT: The force on the charge is not constant, since the direction changes; therefore, you cannot use kinematics!! This problem can be solved easily with a little geometry. QUESTION: You get two roots: which is the answer you seek, and what is the meaning of the other root?
N Diagram la Diagram Ib W- -E B (out of the page)
Transcribed Image Text:N Diagram la Diagram Ib W- -E B (out of the page)
Expert Solution
Step 1

In the provided scenario, the magnetic field is perpendicular to the velocity. Thus, the motion of the atomic particle will be a circular motion. Therefore, the force equation along the radial direction be:

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