Speed of a beryllium nuceleus after acceleration

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SUMMARY

The speed of a beryllium nucleus after being accelerated through a voltage drop of 200 V can be calculated using the principles of electric field theory. The nucleus, which has a mass of approximately 1.4966 x 10^-23 grams, is influenced by the electric field due to its positive charge from protons. The relevant equations include the electric field strength (E = U/d) and the working force in an electric field (F = q*E). Understanding these concepts allows for the determination of the nucleus's speed upon exiting the accelerator.

PREREQUISITES
  • Understanding of electric field theory
  • Familiarity with the concept of voltage and its effects on charged particles
  • Basic knowledge of nuclear physics, specifically regarding protons and neutrons
  • Ability to perform calculations involving mass and charge
NEXT STEPS
  • Study the relationship between voltage and kinetic energy in charged particles
  • Learn about the motion of charged particles in electric fields
  • Explore the concept of electric potential energy and its conversion to kinetic energy
  • Investigate the properties of beryllium nuclei and their behavior in accelerators
USEFUL FOR

Students in physics, particularly those studying electromagnetism and nuclear physics, as well as educators looking for practical examples of particle acceleration.

MadsPH
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Homework Statement


A beryllium nucleus is accelerated over a voltage drop of 200 V. Calculate the speed of the particle as it leaves the accelerator.

Homework Equations


Electric field strength in a capacitor? (E=U/d).
Working force in an electric field? (F=q*E)

The Attempt at a Solution


I tried fitting this problem into electric field theory, but that requires the particle to have a charge - else it should not be influenced. The only property of a beryllium nucleus I know is its mass. I did a quick estimation of 1.4966*10^-23 grams (dividing it's atomic weight by one mole).

How can I proceed with this problem?
 
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MadsPH said:

Homework Statement


A beryllium nucleus is accelerated over a voltage drop of 200 V. Calculate the speed of the particle as it leaves the accelerator.

Homework Equations


Electric field strength in a capacitor? (E=U/d).
Working force in an electric field? (F=q*E)

The Attempt at a Solution


I tried fitting this problem into electric field theory, but that requires the particle to have a charge - else it should not be influenced. The only property of a beryllium nucleus I know is its mass. I did a quick estimation of 1.4966*10^-23 grams (dividing it's atomic weight by one mole).

How can I proceed with this problem?
The beryllium nucleus does have a charge! "Nucleus" = protons + neutrons but no electrons!
 

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