Rail gun weapons are not only popular in video games, they are actually being developed by the Navy for practical use. The figure below shows a simple model of how a rail gun works. The entirety of the rail gun is immersed in a magnetic field of strength B = 0.56 Tesla. With the switch open, the capacitor on the left is charged to a very high voltage Vo = 9900 Volts. When the switch is closed current will flow through the bar and thereby exert a magnetic force on the bar pushing it to the right. The bar has a mass M = 1.79 kg, a resistance R = 0.194 N, and a length L = 0.246 meters. We shall assume that the rails have zero resistance, and that the bar slides without friction. The bar exits the rail gun after having accelerated over a distance of d = 3.92 meters. Immersed in a Magnetic Field Mass M V. Resistance R Length L switch d Calculate the current flowing through the bar when the switch is closed I = Amps Calculate the force on the bar due to the magnetic field F = Newtons Calculate the acceleration of the bar a = m/s2 Assuming the bar experiences constant acceleration, find the velocity of the bar when it leaves the rails: v(x=d) m/s

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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Rail gun weapons are not only popular in video games, they are actually being developed by the Navy for practical use. The
figure below shows a simple model of how a rail gun works. The entirety of the rail gun is immersed in a magnetic field of
strength B = 0.56 Tesla. With the switch open, the capacitor on the left is charged to a very high voltage Vo = 9900 Volts.
When the switch is closed current will flow through the bar and thereby exert a magnetic force on the bar pushing it to the
right. The bar has a mass M = 1.79 kg, a resistance R = 0.194 N, and a length L = 0.246 meters. We shall assume that the
rails have zero resistance, and that the bar slides without friction. The bar exits the rail gun after having accelerated over a
distance of d = 3.92 meters.
Immersed in a Magnetic Field
Mass M
Vo
Resistance R
Length L
switch
d.
Calculate the current flowing through the bar when the switch is closed I =
Amps
Calculate the force on the bar due to the magnetic field F =
Newtons
Calculate the acceleration of the bar a =
m/s2
Assuming the bar experiences constant acceleration, find the velocity of the bar when it leaves the rails: v(x=d)
m/s
Transcribed Image Text:Rail gun weapons are not only popular in video games, they are actually being developed by the Navy for practical use. The figure below shows a simple model of how a rail gun works. The entirety of the rail gun is immersed in a magnetic field of strength B = 0.56 Tesla. With the switch open, the capacitor on the left is charged to a very high voltage Vo = 9900 Volts. When the switch is closed current will flow through the bar and thereby exert a magnetic force on the bar pushing it to the right. The bar has a mass M = 1.79 kg, a resistance R = 0.194 N, and a length L = 0.246 meters. We shall assume that the rails have zero resistance, and that the bar slides without friction. The bar exits the rail gun after having accelerated over a distance of d = 3.92 meters. Immersed in a Magnetic Field Mass M Vo Resistance R Length L switch d. Calculate the current flowing through the bar when the switch is closed I = Amps Calculate the force on the bar due to the magnetic field F = Newtons Calculate the acceleration of the bar a = m/s2 Assuming the bar experiences constant acceleration, find the velocity of the bar when it leaves the rails: v(x=d) m/s
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