A device called a railgun uses the magnetic force on currents to launch projecti

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 0.85 m resistance and a mass of 5.6 g . Ignore the resistance of the rails. The power supply is switched on.

What is the current?

Express your answer with the appropriate units.

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Part B

What is direction of the force on the wire?

What is direction of the force on the wire?

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Part C

What is the magnitude of the force on the wire?

Express your answer with the appropriate units.

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Part D

What will be the wire's speed after it has slid a distance of 8.0 cm ?

Express your answer with the appropriate units.

Explanation / Answer

A) I = V/R = 1.2/0.85x10-³ = 1411.76 A

B) up

C) F = I * L * B = 1411.76(0.15)(0.8) = 169.41 N

D) F = ma = 0.056a =169.41

a = F/m =169.41/0.056 = 3025.17 m/s²

v² = 2ax = 2* 3025.17 *0.08 =484.02

v = 484.02 = 22.00 m/s

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