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A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). B m JEST (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire?

A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). B m JEST (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire?

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Problem 3 A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3 mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). 410 150 (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire? (d) If there is friction between the wire and rails, then the maximum acceleration is achieved when the magnetic field is at some angle, which depends on the friction coefficient, to the vertical. Why is this true, and should B tilt to the left or right (viewed as shown in the figure above)?
Transcribed Image Text:Problem 3 A metal wire of mass m = 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by a distance d = 2.56 cm as shown below. The track lies in a vertical uniform mag- netic field of magnitude B = 56.3 mT. At time t = 0, the wire is at rest and device G is connected to the rails, producing a constant current I = 9.13 mA in the wire and rails (even as the wire moves). 410 150 (a) Draw a diagram showing the wire, the track, and the directions of the current in the wire, the magnetic field, and the direction of the magnetic force on the wire. (b) Describe how you expect the wire to move after the current starts flowing (direction? constant or increasing velocity?). Explain your reasoning. (c) At t = 61.1 ms, what is the acceleration and the speed of the wire? (d) If there is friction between the wire and rails, then the maximum acceleration is achieved when the magnetic field is at some angle, which depends on the friction coefficient, to the vertical. Why is this true, and should B tilt to the left or right (viewed as shown in the figure above)?
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