Constant Current and Magnetic Field: How Will the Metal Rod Move?

AI Thread Summary
A constant current of 5 Amps flows through a 0.25 m metal rod with a mass of 0.60 kg on frictionless rails within a uniform magnetic field of 0.75 T. The problem involves determining the rod's speed after 2.5 seconds and the distance it travels before stopping. The force acting on the rod can be calculated using the formula F = ILB, but the orientation of the rod and the direction of the current are not specified, which is crucial for solving the problem. Participants suggest constructing a differential equation based on Newton's second law to find velocity and position as functions of time. Clarification on the rod's orientation and current direction is necessary for a complete solution.
rmor'e
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Homework Statement



A constant current of 5 Amp flows through a metal rod of length 0.25 m long and mass m = 0.60 kg slides on frictionaless rails. A uniform magnetic field of 0.75 T is directed into the page. If the initial speed of the rod is v = 5 m/s, then (a) what is the speed of the rod 2.5 seconds later, and (b) how far does it move before coming to a stop.



Homework Equations



F=ILB

The Attempt at a Solution

 
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Welcome to PF, Rmor'e.
The question isn't entirely clear - we aren't told the orientation of the rod or the direction of the current in it. Is there a diagram with the question? There should be!

Anyway, go ahead and use your formula to find the force. We can't give you much help until we see your attempt.
 
Simply construct a differential equation through N2 and solve for v and x as a function of t.
 

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