A rail gun accelerates a projectile from rest by using the magnetic force on a current-carrying wire. The wire has radius r = 5.91⋅10⁻⁴ m and is made of copper having a density of rho = 8960 kg/m³. The gun consists of rails of length L = 1.09 m in a constant magnetic field of magnitude B = 1.85 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 1.34⋅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.)