A conducting bar of mass \(m\), length \(\ell\), and negligible electrical resistance rests on two parallel, horizontal, frictionless conducting rails separated by a distance \(\ell\). The rails are connected at one end by a resistor of resistance \(R\), and the rails themselves have negligible resistance. A uniform magnetic field of magnitude \(B\) is directed perpendicular to the plane of the rails, pointing out of the page. A constant horizontal pulling force of magnitude \(F_0\) is applied to the bar, causing it to accelerate to the right until it reaches a constant terminal speed \(v_T\). What is the rate at which thermal energy is dissipated in the resistor when the bar moves at speed \(v_T\)?