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(14%) Problem 7: A rod of m = 1.7 kg rests on two parallel rails that are L = 0.

ID: 1780915 • Letter: #

Question

(14%) Problem 7: A rod of m = 1.7 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) with a magnitude 3.9 A. A uniform magnetic field of magnitude B = 0.35 T pointing upward is applied to the region, as shown in the graph. The rod moves a distance d = 0.85 m. Ignore the friction on the rails. ©theexpertta.com Calculate the final speed, in meters per second, of the rod if it started from rest, assuming there is no friction in the contact between it and rails. Assume the current through the rod is constant at all times Grade Summary Deductions Potential v= 8% 92% sinO cos0 cotan asin acos0 atanO acotan)sinh) cosh0tanh otanh0 Submissions Attempts remaining: 18 (4% per attempt) detailed view HOME 1 23 4% 4% END Degrees Radians V) BACKSPACE DEL CLEAR Submit Feedbachk I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback:_ for a 0% deduction

Explanation / Answer

F = I L B = 3.9 x 0.55 x 0.35

F = 0.75 N

a = F / m = 0.442 m/s^2

Applyng vf^2 - vi^2 = 2 ad

v^2 - 0^2 = 2(0.442)(0.85)

v = 0.866 m/s