Calculating Acceleration and Force in an Electromagnetic Rail Gun

In summary, an electromagnetic rail gun uses a combination of magnetic field and electric current to fire a projectile. In the given scenario, a 49.0-g conducting rod is placed between two parallel conducting rails, with a battery connected between them and a magnetic field of 0.750 T directed perpendicular to the rails. With a current of 2.00 A passing through the rod, the rod will experience a force of 0.8625 m/s^2 in the north direction. To calculate the final velocity of the rod after traveling 8.00 m, the acceleration is multiplied by the distance, resulting in a final velocity of 6.9 m/s^2.
  • #1
kavamo
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0

Homework Statement



An electromagnetic rail gun can fire a projectile using a magnetic field and an electric current. Consider two parallel conducting rails, separated by 0.575 m, which run north and south. A 49.0-g conducting rod is placed across the tracks and a battery is connected between the tracks, with its positive terminal connected to the east track. A magnetic field of magnitude 0.750 T is directed perpendicular to the plane of the rails and rod. A current of 2.00 A passes through the rod.

If there is no friction between the rails and the rod, how fast is the rod moving after it has traveled 8.00 m down the rails? What direction is the force on the rod?


Homework Equations



F = qVxB (where V and B are vectors)
F = I LxB
a = ILB / m

The Attempt at a Solution



a= (2.0 A)(0.575m)(0.750T)
a = 0.8625 m/s

I've drawn the picture and can determine (see) that the force in in the North direction. So I just need help figuring out the acceleration. I think there must be some cross products but don't really understand how to do that.

Thanks in advance for your help.
 
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  • #2
Didn't you already calculate the acceleration? The unit should be m/s^2, not m/s.
 
  • #3
Sorry, I got confused.

So then to answer the actual question I multiply 0.8625 by 8.0 meters

(0.8625)(8.0) = 6.9 m/s^2

Thanks.
 

Related to Calculating Acceleration and Force in an Electromagnetic Rail Gun

1. What is an electromagnetic rail gun?

An electromagnetic rail gun is a weapon that uses the force of electromagnetism to accelerate a projectile to high speeds. It consists of two parallel rails and a conductive projectile, with a large electrical current passing through the rails to create a magnetic field that propels the projectile forward.

2. How does an electromagnetic rail gun work?

When an electrical current is passed through the rails, a magnetic field is created that pushes against the magnetic field of the projectile, propelling it forward at high speeds. The projectile does not require any explosive propellant, making it a more efficient and cost-effective weapon.

3. What are the advantages of an electromagnetic rail gun?

There are several advantages to using an electromagnetic rail gun. It has a higher muzzle velocity and longer range than traditional guns, making it more accurate. It also has a lower cost per shot, as it does not require expensive propellants, and is more environmentally friendly as it does not produce chemical pollution.

4. What are the limitations of an electromagnetic rail gun?

One of the main limitations of an electromagnetic rail gun is the amount of power required to operate it. The high currents needed can put a strain on power systems and infrastructure. Additionally, the rails and projectile can experience significant wear and tear, requiring regular maintenance and replacement.

5. Are electromagnetic rail guns used in warfare?

Currently, electromagnetic rail guns are still in the testing and development phase for military use. They have been successfully tested by various countries, but have not yet been deployed in combat. However, they have the potential to greatly impact future warfare due to their speed, accuracy, and cost-effectiveness.

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