A metal bar of mass m slides frictionlessly on two parallel conducting rails, a distance apart. A resistor R is connected across the rails, and a uniform magnetic field B, pointing into the page, fills the entire region.
(a) If the bar moves to the right at speed v, what is the current in the resistor? [2 points]
(b) In what direction (clockwise or anticlockwise) does it flow? [2 points]
(c) What is the magnitude of the magnetic force on the bar? In what direction? [2 points]
(d) If the bar starts out with speed v0 at time t = 0 and is left to slide, what is its speed at a later time t? [2 points]