Question

Constants A conducting rod with length 0.213 m , mass 0.100 kg , and resistance 83.5 Ω moves without friction on metal rails as shown in the following figure(Figure 1). A uniform magnetic field with magnitude 1.50 T is directed into the plane of the figure. The rod is initially at rest, and then a constant force with magnitude 1.90 N and directed to the right is applied to the bar.How many seconds after the force is applied does the bar reach a speed of 25.2 m/s ?

Answer 1

a = F / m = 1.90 / 0.100 = 19 m/s²

s = v² / 2 a = 25.2² / (2 * 19) = 16.71 m

s = 1/2 a t²

16.71 = 1/2 * 19 * t²

t = 1.33 s