Problem

Terminal Speed. A bar of length L = 0.36 m is free to slide without friction on horizontal...

Terminal Speed. A bar of length L = 0.36 m is free to slide without friction on horizontal rails, as shown in Figure. There is a uniform magnetic field B = 1.5 T directed into the plane of the figure. At one end of the rails there is a battery with emf ϵ = 12 V and a switch. The bar has mass 0.90 kg and resistance 5.0 Ω, and all other resistance in the circuit can be ignored. The switch is closed at time t = 0. (a) Sketch the speed of the bar as a function of time. (b) Just after the switch is closed, what is the acceleration of the bar? (c) What is the acceleration of the bar when its speed is 2.0 m/s? (d) What is the terminal speed of the bar?

Figure:

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