A rod of m = 0.45 kg rests on two parallel rails that are L = 0.85 m apart. The rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 4.3 A. A uniform magnetic field of magnitude B = 0.15 T pointing upward is applied to the region, as shown in the figure. The rod moves a distance d = 0.35 m along the rails in a given time period. Ignore the friction on the rails. a. Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B. b. Express the final speed of the rod, v, in terms of F, d, and m, if it started from rest. c. Determine the work done on the rod during its motion, in terms of the magnetic force F and the distance traveled d.
A rod of m = 0.45 kg rests on two parallel rails that are L = 0.85 m apart. The rod carries a current going between the rails (bottom to top in the figure, into the page) with a magnitude I = 4.3 A. A uniform magnetic field of magnitude B = 0.15 T pointing upward is applied to the region, as shown in the figure. The rod moves a distance d = 0.35 m along the rails in a given time period. Ignore the friction on the rails.
a. Express the magnitude of the magnetic force F on the rod, in terms of the length L, current I, and magnetic field B.
b. Express the final speed of the rod, v, in terms of F, d, and m, if it started from rest.
c. Determine the work done on the rod during its motion, in terms of the magnetic force F and the distance traveled d.
d. Which direction does the rod move?
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e. Calculate the numerical value of F, in newtons.
f. Calculate the work done on the rod, in joules.
g. Calculate the numerical value of v, in meters per second.
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