College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![A metal rod of mass \( m \) slides without friction along two parallel horizontal rails, separated by a distance \( \ell \) and connected by a resistor \( R \), as shown in the figure below. A uniform vertical magnetic field of magnitude \( B \) is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed \( v \). In terms of \( m \), \( \ell \), \( R \), \( B \), and \( v \), find the distance the rod will then slide as it coasts to a stop.
\[ d = \boxed{ \ \ \ \ \ } \]
**Diagram Explanation:**
The diagram shows:
- Two parallel horizontal orange rails.
- A blue rod sliding on these rails.
- The distance between the rails is labeled as \( \ell \).
- A resistor \( R \) is connected across the rails.
- A force \( F_{\text{app}} \) is applied horizontally to the rod.
- The magnetic field is directed into the plane of the paper, perpendicular to the rod.](https://content.bartleby.com/qna-images/question/3b8a3b02-537f-461e-8b4c-b4e87785da66/d2223a23-ac6a-4365-831c-4282ddb693ea/ujt0ij1_processed.png)
Transcribed Image Text:A metal rod of mass \( m \) slides without friction along two parallel horizontal rails, separated by a distance \( \ell \) and connected by a resistor \( R \), as shown in the figure below. A uniform vertical magnetic field of magnitude \( B \) is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed \( v \). In terms of \( m \), \( \ell \), \( R \), \( B \), and \( v \), find the distance the rod will then slide as it coasts to a stop.
\[ d = \boxed{ \ \ \ \ \ } \]
**Diagram Explanation:**
The diagram shows:
- Two parallel horizontal orange rails.
- A blue rod sliding on these rails.
- The distance between the rails is labeled as \( \ell \).
- A resistor \( R \) is connected across the rails.
- A force \( F_{\text{app}} \) is applied horizontally to the rod.
- The magnetic field is directed into the plane of the paper, perpendicular to the rod.
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