Alpha decay and its relationship to speed

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Discussion Overview

The discussion revolves around understanding the relationship between the speeds of the emitted alpha particle and the daughter nucleus in the context of alpha decay, specifically for Uranium-238. Participants explore concepts related to energy conservation and momentum in this nuclear process.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant requests a step-by-step process to solve a problem related to the speeds of particles in alpha decay.
  • Another participant suggests that providing a brief explanation of current understanding and specific questions may lead to better assistance.
  • A participant proposes that the energy released during alpha decay is crucial for determining the velocities of the resulting particles, but expresses uncertainty about how to calculate the kinetic energy involved.
  • Another participant points out the importance of conservation of momentum in addition to conservation of energy, assuming the initial state of U-238 is at rest.
  • A later reply acknowledges the oversight regarding momentum conservation and expresses gratitude for the reminder.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of conservation of energy and momentum in solving the problem, but there remains uncertainty regarding the specifics of energy distribution and calculations needed to determine the velocities.

Contextual Notes

The discussion highlights limitations in the participants' understanding of energy distribution in alpha decay and the calculations required to apply conservation laws effectively.

solaris123
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I need some explanation to what I must know in order to solve the next problem. A step by step process and mention of the particular concept I must know would be greatly appreciated as I must learn how to do this by june 8.
" In the alpha decay of a Uranium-238 nucleus, what is the ratio v/V, of the speed v of the emitted alpha particle and the speed V of the daughter nucleus?"
Thank you.
 
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Why don't you post a brief explanation of what you do understand, followed by your ideas on how to proceed or more specific questions. I'm quite certain you will gain assistance if you put forth just a little more effort. Best of luck and welcome to PF!
 
Ok, up to now I have concluded this must related to the amount of energy released in the process of the alpha decay as energy must be constant for any reaction. Knowing this I can use the mass of the resulting particles, the alpha and the daughter nucleaus, in order to find their velocity by using the kinetic energy.
Now, the problem is that I have no clue in the exact way the energy is distributed amongst the resulting particles or the amount of energy present to begin with, making my kinetic energy idea fail because I have no idea how to calculate this kinetic energy to begin with.
So yeah, I can't think of any other way to solve the problem and lackign that information I can't solve the problem.
 
In addition to conservation of energy, one also has conservation of momentum. Assume the U-238 is at rest.
 
O_O, I feel like an idiot now... thank you kind sir, I had completely forgotten about that.
 

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