Acceleration of the wire from Newton's second law:
, where F is force and m is the mass of the wire.
The force, F:
Let's also consider the kinematic equation:
A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in the figure. A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.61 mΩ resistance and a mass of 9.0 g. Ignore the resistance of the rails. At some moment, the power supply is switched on. What will be the wire's speed after it has slid a distance of 1.0 mm?
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What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Straight Currents concept. You can view video lessons to learn Magnetic Field Produced by Straight Currents. Or if you need more Magnetic Field Produced by Straight Currents practice, you can also practice Magnetic Field Produced by Straight Currents practice problems.
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Based on our data, we think this problem is relevant for Professor Inman's class at VALENCIA.