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Rail Gun A rail gun uses electromagnetic forces to accelerate a projectile to ve

ID: 1281108 • Letter: R

Question

Rail Gun A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities. The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass 50.0g and electrical resistance 0.400 Ohm rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L = 7.00cm apart. (Figure 1) The rails are also connected to a voltage source providing a voltage of V = 5.00V . The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B = 0.280T. Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9.80m/s^2 for the magnitude of the acceleration due to gravity. Part A Find Mus, the coefficient of static friction between the rod and the rails. Give our answer numerically. Mus=

Explanation / Answer

BIL = uMg

I = V/R = 5/0.4 A = 12.5 A

0.28*12.5*0.07 = u*0.05*9.8

=> u = 0.5