### Problem Description**Context:**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 depicted in Figure 1.**Question:**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 \( g \).### Task Part C**Objective:**Write down an explicit expression for the gravitational force acting on the particle.**Instructions:**Express your answer in terms of \( m \) and the acceleration of gravity \( g \).**Input Box:**A space to input your expression for the gravitational force \( F_g \).**Hints:**Options to view available hints to assist in solving the problem.### Explanation of Diagrams and InterfaceThere is a figure (Figure 1) mentioned, which likely illustrates the setup involving the wire, particle, and vectors showing forces or velocities. However, the figure is not visible in this transcribed text. The interface provides a text box for submitting answers, allowing use of mathematical notation ( \( \displaystyle \), \( \mathbb{A} \Sigma \phi \) symbols), undo and redo buttons, and an option to view additional hints. The "Submit" button is used to send in the completed expression.

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