A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figur

Question

A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L = 45.0 cm long. The rod carries a current of I = 46.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.520 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.)

http://www.webassign.net/serpse8/29-p-037.gif <------ Figure

_________m/s

Explanation / Answer

V = [4*I*d*B*L/(3*m)]^0.5

= [4*46*0.12*0.52*0.45/(3*0.72)]^0.5

= 1.5466 m/s

= 1.55 m/s

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