Speed of a beryllium nuceleus after acceleration

In summary, the problem asks for the speed of a beryllium nucleus after being accelerated over a voltage drop of 200 V. The relevant equations for this problem are the electric field strength (E=U/d) and the working force in an electric field (F=q*E). The only known property of the beryllium nucleus is its mass, and it does have a charge.
  • #1
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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  • #2
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!
 

FAQ: Speed of a beryllium nuceleus after acceleration

What is the speed of a beryllium nucleus after acceleration?

The speed of a beryllium nucleus after acceleration depends on the amount of energy applied to accelerate it. Beryllium nuclei can reach speeds close to the speed of light when accelerated to high energies in a particle accelerator.

How is the speed of a beryllium nucleus after acceleration calculated?

The speed of a beryllium nucleus after acceleration can be calculated using the formula for kinetic energy (KE = 1/2mv^2), where m is the mass of the nucleus and v is its velocity. This calculation assumes that the nucleus is accelerated from rest.

Can the speed of a beryllium nucleus after acceleration be faster than the speed of light?

No, according to Einstein's theory of relativity, nothing can travel faster than the speed of light. Therefore, the speed of a beryllium nucleus after acceleration cannot exceed the speed of light.

What factors affect the speed of a beryllium nucleus after acceleration?

The speed of a beryllium nucleus after acceleration is affected by the amount of energy applied to accelerate it, the mass of the nucleus, and any external forces acting on it.

Why is it important to study the speed of beryllium nuclei after acceleration?

Studying the speed of beryllium nuclei after acceleration can provide insight into the fundamental properties of matter and the behavior of particles at high energies. This information is essential for understanding the structure of the universe and developing advanced technologies.

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