<DIV>A conducting bar of length L = 21.6 cm and mass M = 35.0 g lies across a pa

Question

<DIV>A conducting bar of length L = 21.6 cm and mass M = 35.0 g lies across a pair of conducting rails. The contact friction between the bar and the rails is negligible, but there is a resistor at one end with a value R = 15.0 Ohms. Initially the rod is given an initial speed of v0 = 76.0 meters per second. There is a uniform magnetic field perpendicular to the plane containing the rod and rails of magnitude B = 0.6 T. <IMG alt="" src="https://s3.amazonaws.com/answer-board-image/e938a052-000e-4220-85d7-3ab72b1b6305.jpeg" src_cetemp="https://s3.amazonaws.com/answer-board-image/e938a052-000e-4220-85d7-3ab72b1b6305.jpeg"><BR><A name=Speed>What is the speed of the rod at time <I>t</I> = 106.274 s?</A><BR></DIV>
<DIV><A name=Distance>How far does the rod slide before coming to rest?</A><BR><BR></DIV>

Explanation / Answer

dx = v0*e^(-At) dt integrate, x from 0 to d, t from 0 to infinity d = v0/A = 76/0.032 = 2375 m

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