A long, horizontal wire is carrying a current I. A particle of mass m and charge q is fired horizontally at a speed vo. The initial velocity of the particle is parallel to the wire, and its initial position is a distance r directly below the wire, as shown in (Figure 1). What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of I, m, q, r, μo, and the acceleration of gravity g. Part I Determine at what initial speed vo the particle will travel in a straight horizontal line. Express your answer in terms of some, all, or none of the variables m, q, vo, I, r, and the constants 9, Ho, and T. ► View Available Hint(s) Ψ—| ΑΣΦ ?
A long, horizontal wire is carrying a current I. A particle of mass m and charge q is fired horizontally at a speed vo. The initial velocity of the particle is parallel to the wire, and its initial position is a distance r directly below the wire, as shown in (Figure 1). What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of I, m, q, r, μo, and the acceleration of gravity g. Part I Determine at what initial speed vo the particle will travel in a straight horizontal line. Express your answer in terms of some, all, or none of the variables m, q, vo, I, r, and the constants 9, Ho, and T. ► View Available Hint(s) Ψ—| ΑΣΦ ?
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![A long, horizontal wire is carrying a current \( I \). A particle of mass \( m \) and charge \( q \) is fired horizontally at a speed \( v_0 \). The initial velocity of the particle is parallel to the wire, and its initial position is a distance \( r \) directly below the wire, as shown in Figure 1. What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of \( I, m, q, r, \mu_0 \), and the acceleration of gravity \( g \).
**Part I**
Determine at what initial speed \( v_0 \) the particle will travel in a straight horizontal line.
*Express your answer in terms of some, all, or none of the variables \( m, q, v_0, I, r \), and the constants \( g, \mu_0 \), and \( \pi \).*
[Button: View Available Hint(s)]
Input box for the answer: \( v_0 = \) __________](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53e05107-ae84-499f-9aae-1455cf48f118%2Fb93f58eb-5ff0-4e49-ae92-a29ad37ecd1c%2Flhqp6k_processed.png&w=3840&q=75)
Transcribed Image Text:A long, horizontal wire is carrying a current \( I \). A particle of mass \( m \) and charge \( q \) is fired horizontally at a speed \( v_0 \). The initial velocity of the particle is parallel to the wire, and its initial position is a distance \( r \) directly below the wire, as shown in Figure 1. What initial speed must the particle have for it to travel in a straight line? Do not ignore gravity. Express your answer in terms of \( I, m, q, r, \mu_0 \), and the acceleration of gravity \( g \).
**Part I**
Determine at what initial speed \( v_0 \) the particle will travel in a straight horizontal line.
*Express your answer in terms of some, all, or none of the variables \( m, q, v_0, I, r \), and the constants \( g, \mu_0 \), and \( \pi \).*
[Button: View Available Hint(s)]
Input box for the answer: \( v_0 = \) __________
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