An electromagnetic rail gun uses magnetic forces to launch projectiles. (Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without friction along 1.0-m-long horizontal rails. The rails are connected to a 300 V source, and a 0.10 T magnetic field fills the space between the rails. Each rail has linear resistivity λ = 0.10 Ω/m, which means that the resistance is λ multiplied by the length of rail through which current flows. Assume that the sliding wire and the left end, where the voltage source is, have zero resistance. The wire is initially placed at x0 = 30 cm, then the switch is closed. What is the wire's speed as it leaves the rails?

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Chapter1: Units, Trigonometry. And Vectors
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An electromagnetic rail gun uses magnetic forces to launch projectiles. (Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without friction along 1.0-m-long horizontal rails. The rails are connected to a 300 V source, and a 0.10 T magnetic field fills the space between the rails. Each rail has linear resistivity λ = 0.10 Ω/m, which means that the resistance is λ multiplied by the length of rail through which current flows. Assume that the sliding wire and the left end, where the voltage source is, have zero resistance. The wire is initially placed at x0 = 30 cm, then the switch is closed. What is the wire's speed as it leaves the rails? 

An electromagnetic rail gun uses magnetic forces to launch projectiles.
(Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without
friction along 1.0-m-long horizontal rails. The rails are connected to a
300 V source, and a 0.10 T magnetic field fills the space between the
rails. Each rail has linear resistivity ) = 0.10 N/m, which means that
the resistance is A multiplied by the length of rail through which current
flows. Assume that the sliding wire and the left end, where the voltage
source is, have zero resistance. The wire is initially placed at
2o = 30 cm, then the switch is closed.
Figure
< 1 of 1
ххх.
X X
0.10 T
10 cm
+
300 V
X X X X
X X
Transcribed Image Text:An electromagnetic rail gun uses magnetic forces to launch projectiles. (Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without friction along 1.0-m-long horizontal rails. The rails are connected to a 300 V source, and a 0.10 T magnetic field fills the space between the rails. Each rail has linear resistivity ) = 0.10 N/m, which means that the resistance is A multiplied by the length of rail through which current flows. Assume that the sliding wire and the left end, where the voltage source is, have zero resistance. The wire is initially placed at 2o = 30 cm, then the switch is closed. Figure < 1 of 1 ххх. X X 0.10 T 10 cm + 300 V X X X X X X
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