A rail gun accelerates a projectile from rest by using the magnetic force on a current-carrying wire. The wire has radius r = 5.10 x 10-4 m and is made of copper having a density of ρ = 8960 kg/m3. The gun consists of rails of length L = 1.00 m in a constant magnetic field of magnitude B = 2.00 T, oriented perpendicular to the plane defined by the rails. The wire forms an electrical connection across the rails at one end of the rails. When triggered, a current of 1.00 x 104 A flows through the wire, which accelerates the wire along the rails. Calculate the final speed of the wire as it leaves the rails. (Neglect friction.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 29P: Within the green dashed circle shown in Figure P23.28, the magnetic field changes with time...
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A rail gun accelerates a projectile from rest by using the magnetic force on a current-carrying wire.
The wire has radius r = 5.10 x 10-4 m and is made of copper having a density of ρ = 8960 kg/m3. The gun consists of rails of length L = 1.00 m in a constant magnetic field of magnitude B = 2.00 T,
oriented perpendicular to the plane defined by the rails. The wire forms an electrical connection
across the rails at one end of the rails. When triggered, a current of 1.00 x 104 A flows through the
wire, which accelerates the wire along the rails. Calculate the final speed of the wire as it leaves the
rails. (Neglect friction.)

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