A conducting rod with length 0.157m , mass 0.150kg , and resistance 81.0 moves w

Question

A conducting rod with length 0.157m , mass 0.150kg , and resistance 81.0 moves without friction on metal rails as shown in the following figure . A uniform magnetic field with magnitude 1.50T is directed into the plane of the figure. The rod is initially at rest, and then a constant force with magnitude 1.90N 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 25.5m/s ?

A conducting rod with length 0.157m , mass 0.150kg , and resistance 81.01 moves without friction on metal rails as shown in the following figure . A uniform magnetic field with magnitude 1.50T is directed into the plane of the figure. The rod is initially at rest, and then a constant force with magnitude 1.90N 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 25.5m/s ?

Explanation / Answer

emf e = B*v*L

i = e/R = B*v*L

Fb = i*L*B = B*v*L*L*B/R

Fb = B^2*L^2*V/R

Fnet = F - Fb

from newton 2 nd law Fnet = m*a = m*v/t

F - Fb = m*v/t

1.9 - B^2*L^2*V/R = m*v/t

1.9 - (1.5*1.5*0.157*0.157*25.5)/81 = 0.15*25.5/t

t = 2.032 s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.