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

[rmor'e]

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

 

[Delphi51]

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.

 

[blacknovember]

Simply construct a differential equation through N2 and solve for v and x as a function of t.