A gun that fired charged particles

In summary, a 5-μC charge is accelerated through a potential difference of 50,000 V by a gun that fires charged particles. With a mass of 0.025 kg, the particle's speed upon leaving the gun is 4.5 m/s, as confirmed by the formula (1/2)qV = (1/2)mv^2. A misprint on the formula sheet may have caused confusion in the solution process.
  • #1
Dart82
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0

Homework Statement


A gun that fires charged particles accelerates a 5-μC charge from rest through a potential difference of 50,000 V. The particle has a mass of 0.025 kg. With what speed does it leave the gun?


Homework Equations


EPE = KE
(1/2)qV = (1/2)mv^2 , solve for v^2



The Attempt at a Solution


EPE = (1/2) x (5^-6 Coulombs) x (50,000 Volts)

KE = (1/2) x ( 0.025kg) x (v^2)

where the problem lies:
When i solve for velocity i get 3.16 m/s, however the answer my teacher gave to this problem was 4.5 m/s. Am i missing something here??
 
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  • #2
Are you sure that the electrical potential energy is (1/2)qV?
 
  • #3
ahhh...nothing like a good 'ole misprint on the formula sheet to trip you up. thanks for the insight!
 

1. What are charged particles and how are they different from bullets?

Charged particles are atoms or molecules that have gained or lost electrons, resulting in an overall electrical charge. Unlike bullets, which are propelled by chemical reactions, charged particles are propelled by electromagnetic forces.

2. How does a gun that fires charged particles work?

The gun uses an electrical charge to accelerate charged particles, typically electrons or ions, through a series of electrodes. These particles are then focused and directed by magnetic fields before being released at high speeds towards their target.

3. What are the advantages of using a gun that fires charged particles?

One advantage is the ability to control the speed and direction of the particles, allowing for more precise and targeted shots. Additionally, charged particles can penetrate deeper into materials than traditional bullets, making them useful for certain applications such as medical imaging or industrial cutting.

4. Are there any safety concerns with using a gun that fires charged particles?

Yes, there are potential safety concerns with the high voltage and magnetic fields used in these guns. Proper precautions and safety protocols must be followed to prevent accidents or injuries.

5. What are some real-world applications of guns that fire charged particles?

Guns that fire charged particles have a variety of uses, including in scientific research, medical treatment, and industrial processes. They are also used in some military technologies, such as electromagnetic railguns, which use charged particles to propel projectiles at high speeds.

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