K HW 24 (Induced Currents) HW Item 5 A rail gun uses electromagnetic forces to a

Question

K HW 24 (Induced Currents) HW Item 5 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 40 0 g and electrical resistance 0.400 ? rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L 8.00 Par apart (Figure 1)The rails are also connected to a voltage source providing a voltage of V 5.00 V The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B-0.196 T. Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9 80 m/s2 for the magnitude of the acceleration due to gravity. Find Give Vie Sub

Explanation / Answer

Rod start to slide when magnetic force is equal to maximum value of static friction.

Fb = I L B = (5/0.40) (0.08)(0.196)

Fb = 0.196 N

so fs = fb = 0.196 N

and N= m g =0.040 x 9.8 = 0.392 N  

and u= fs / N = 0.50

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