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home / study / science / physics / questions and answers / a device called a railgun uses the magnetic force ... Your question has been answered! Rate it below. Let us know if you got a helpful answer. Question A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1) . A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.71 m resistance and a mass of 4.8 g . Ignore the resistance of the rails. The power supply is switched on.

Part A What is the current?

Part B What is direction of the force on the wire?

Part C What is the magnitude of the force on the wire?

Part D What will be the wire's speed after it has slid a distance of 4.0 cm ?

Explanation / Answer

a)

here

I = V / R

I = 1.2 / 0.00071

I = 1690.14 amp

b)

F = I* L X B

L X B is to the right

c)

F = i * L * B

F = 1690.14 * 0.15 * 0.8

F = 202.8 N

d)

F = m*s

a = F/ m

a = 202.8 / 0.0048 = 42250 m/s^2

then by using the third equation of motion

v^2 - u^2 = 2 * a * s

v = sqrt( 2 * a * s)

v = sqrt( 2 * 42250 * 0.04)

v = 58.14 m/s

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