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3. (25) A rod of m=4 kg rests on two parallel rails that are L0.8 m apart. Then on the current, so the rod carries a current going between the rails (bottom to top figure, into the page) with a magnitude I 2 A. A uniform magnetic field of mage B 1.5 T pointing downward is applied to the region, as shown in the figure, T moves a distance d= 5 m along the rails in a given time period. Ignore the fricti the rails and the air resistance. L. (a 10) Calculate the magnetic field force F on the rod, and show the direction force on the rod. (b 5) Compute the final velocity of the rod. (c 10) How long does it take the rod to reach this velocity? My answers are My answers (a) Sketch the magnetic fiel d lines in your scratch paper. (b) 1.4. 2. My answers (a) Clockwise (b) Upward 3. My answerS (a) F=2 4N (D. Vf-1.732m/s

3. (25) A rod of m=4 kg rests on two parallel rails that are L0.8 m apart. Then on the current, so the rod carries a current going between the rails (bottom to top figure, into the page) with a magnitude I 2 A. A uniform magnetic field of mage B 1.5 T pointing downward is applied to the region, as shown in the figure, T moves a distance d= 5 m along the rails in a given time period. Ignore the fricti the rails and the air resistance. L. (a 10) Calculate the magnetic field force F on the rod, and show the direction force on the rod. (b 5) Compute the final velocity of the rod. (c 10) How long does it take the rod to reach this velocity? My answers are My answers (a) Sketch the magnetic fiel d lines in your scratch paper. (b) 1.4. 2. My answers (a) Clockwise (b) Upward 3. My answerS (a) F=2 4N (D. Vf-1.732m/s

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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a rod of m=4kg rests on two parallel rails that are L= .8m apart. Then we turn on the current, so the rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude of I=2A. A uniform magnetic field of magnitude B=1.5 T pointing downward. I found final velocity to be 1.732 m/s. How long does it take to reach this velocity. Also, don't bother finding the force, I found this also.

**Educational Content: Magnetic Forces and Motion** **Problem Statement:** A rod with mass \( m = 4 \, \text{kg} \) rests on two parallel rails that are \( L = 0.8 \, \text{m} \) apart. When a voltage is applied, the rod carries a current, \( I = 2 \, \text{A} \), from bottom to top (into the page). A uniform magnetic field with magnitude \( B = 1.5 \, \text{T} \), pointing downward, is applied as shown in the figure. The rod moves a distance \( d = 5 \, \text{m} \) along the rails in a given time period. Ignore friction and air resistance. **Questions:** (a) Calculate the magnetic force \( F \) on the rod, and show the direction of the force on the rod. (b) Compute the final velocity of the rod. (c) How long does it take the rod to reach this velocity? **Answers:** 1. **Direction of Magnetic Field Lines:** - Sketch this on a scratch paper and observe the force's direction. - (b) 1.44 N 2. **Magnetic Field Direction:** - (a) Clockwise - (b) Upward 3. **Calculations:** - (a) \( F = 2.4 \, \text{N} \) - (b) \( \text{Final velocity } V_f = 1.732 \, \text{m/s} \) **Explanation of Diagram:** The diagram shows a rod between two rails, with a downward magnetic field \( B \) indicated by arrows. The current \( I \) runs perpendicular through the rod into the page. This setup illustrates a classic scenario to demonstrate the force experienced by a current-carrying conductor in a magnetic field, a practical application of the right-hand rule.
Transcribed Image Text:**Educational Content: Magnetic Forces and Motion** **Problem Statement:** A rod with mass \( m = 4 \, \text{kg} \) rests on two parallel rails that are \( L = 0.8 \, \text{m} \) apart. When a voltage is applied, the rod carries a current, \( I = 2 \, \text{A} \), from bottom to top (into the page). A uniform magnetic field with magnitude \( B = 1.5 \, \text{T} \), pointing downward, is applied as shown in the figure. The rod moves a distance \( d = 5 \, \text{m} \) along the rails in a given time period. Ignore friction and air resistance. **Questions:** (a) Calculate the magnetic force \( F \) on the rod, and show the direction of the force on the rod. (b) Compute the final velocity of the rod. (c) How long does it take the rod to reach this velocity? **Answers:** 1. **Direction of Magnetic Field Lines:** - Sketch this on a scratch paper and observe the force's direction. - (b) 1.44 N 2. **Magnetic Field Direction:** - (a) Clockwise - (b) Upward 3. **Calculations:** - (a) \( F = 2.4 \, \text{N} \) - (b) \( \text{Final velocity } V_f = 1.732 \, \text{m/s} \) **Explanation of Diagram:** The diagram shows a rod between two rails, with a downward magnetic field \( B \) indicated by arrows. The current \( I \) runs perpendicular through the rod into the page. This setup illustrates a classic scenario to demonstrate the force experienced by a current-carrying conductor in a magnetic field, a practical application of the right-hand rule.
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