Question

(13%) Problem 3: $sig.gif?tid=2N74-88-8A-44-B7F6-13552$ A rod of m = 0.85 kg rests on two parallel rails that are L = 0.55 m apart. The rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 3.9 A. A uniform magnetic field of magnitude B = 0.95 T pointing upward is applied to the region, as shown in the figure. The rod moves a distance d = 0.85 m along the rails in a given time period. Ignore the friction on the rails.

14% Part (a) Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B.

14% Part (b) Calculate the numerical value of F, in newtons.

14% Part (c) Which direction does the rod move?

14% Part (d) Determine the work done on the rod during its motion, in terms of the magnetic force F and the distance traveled d.

14% Part (e) Calculate the work done on the rod, in joules.

14% Part (f) Express the final speed of the rod, v, in terms of F, d, and m, if it started from rest.

14% Part (g) Calculate the numerical value of v, in meters per second.

Answer 1

f) F.d = 0.5mv²

v= (2Fd/m)^0.5   

g) v = 2.02 m/s



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