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In the figure, a metal wire of mass m = 25.2 mg can slide with negligible fricti

ID: 1283458 • Letter: I

Question

In the figure, a metal wire of mass m = 25.2 mg can slide with negligible friction on two horizontal parallel rails separated by distance d = 2.88 cm. The track lies in a vertical uniform magnetic field of magnitude 54.8 mT. At time t = 0 s, device G is connected to the rails, producing a constant current i = 9.46 mA in the wire and rails (even as the wire moves). At t = 73.6 ms, what are the wire's (a) speed and (b) direction of motion (Type the number of the correct answer: 1) left 2) right)?

In the figure, a metal wire of mass m = 25.2 mg can slide with negligible friction on two horizontal parallel rails separated by distance d = 2.88 cm. The track lies in a vertical uniform magnetic field of magnitude 54.8 mT. At time t = 0 s, device G is connected to the rails, producing a constant current i = 9.46 mA in the wire and rails (even as the wire moves). At t = 73.6 ms, what are the wire's (a) speed and (b) direction of motion (Type the number of the correct answer: 1) left 2) right)?

Explanation / Answer

F = IL B sin theta

F = m a

25.2E-6*a = 9.46E-3*2.88E-2*54.8E-3*sin(90 degrees)

a=0.592 m/s^2

so a) v = v0 + a t = 0 + 0.592*73.6E-3= 4.36E-2 m/s

b) I into B gives to the left

so to the left

1)

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