(Solution) - Terminal Speed A conducting rod with length L mass m -(2025 Original AI-Free Solution)

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Terminal Speed A conducting rod with length L, mass m, and resistance R moves without friction on metal rails. A uniform magnetic field B is directed into the plane of the figure. The rod starts from rest and is acted on by a constant force F directed to the right. The rails are infinitely long and have negligible resistance.
(a) Graph the speed of the rod as a function of time.
(b) Find an expression for the terminal speed (the speed when the acceleration of the rod is zero).