Question

A metal rod of mass m slides without friction along two parallel horizontal rails separated by a distance L and connected by a resistor R. A uniform magnetic field of magnitude B is applied perpendicular to the plane of the paper. A force is applied to give the bar an initial speed v. In terms of m, L, R, B, and v, find the distance the rod will slide as it coasts to a stop.

Answer 1

The distance the rod will slide as it coasts to a stop is given by:

d = (mv^2)/(2BLR)