rail gun uses electromagnetic forces to accelerate a projectile to very high vel

Question

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 50.0 and electrical resistance 0.100 ohms rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L= 7.00 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 valueB = 7.00

Explanation / Answer

Current I in the rod = V/R = 5/0.2 = 25 A Length through which B crosses = 0.08 m Magnetic field B = 7.35e-2 (No unit is given) Force acting on the rod = ILB = 25*0.08*7.35e-2 = 0.147 N Frictional force = µmg Net force = 0.147 - µmg = 0 when motion just begins. µ = 0.147 / (0.03*9.8) = 0.5 ================================

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