The Navy developed rail guns as a form of artillery, because rail guns can achie

Question

The Navy developed rail guns as a form of artillery, because rail guns can achieve higher projectile energies than chemical explosives. A rail gun consists of two metal rails that are powered at one end by a D.C. voltage. A metal projectile contacts both rails and slides along them, when the system is connected to the power supply. Consider the rails to be in a constant magnetic field directed into the page. Find the force on the 1 kg projectile, if V = 1000 Volts, the circuit resistance is R = 1 W, and the B-field is B = 25 T. The force is: _____ What direction should the current be so the force is to the right. Clockwise or Counter clockwise What is the acceleration of the projectile assuming no friction?

Explanation / Answer

a. for the force to be on right
from left hsand ruyle, the current in the conductor should flow from top to bottom
So the current is clockwise
b. m = 1 kg
V = 1000 V
R = 1 ohm
B = 25 T
F = Bil, l = .5 m
i = V/R
From newton's law
F = B*V*l/R = 25*1000*.5/1 = 1*a
a = 12500 m/s/s

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