Finding Speed of Neutron after Decay

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SUMMARY

The forum discussion centers on calculating the speed of a neutron after the decay of Helium-5 into Helium-4 and a neutron. The masses involved are Helium-4 at 6.648 x 10^-27 kg and the neutron at 1.67493 x 10^-27 kg. The momentum of Helium-4 is given as 1.903 x 10^-20 kg·m/s, and the kinetic energy is 2.723 x 10^-14 J. Participants emphasize the importance of using conservation of momentum and energy equations to determine the velocities of both particles post-decay, suggesting that the neutron's speed may require relativistic equations if it exceeds 10% of the speed of light.

PREREQUISITES
  • Understanding of conservation of momentum in particle decay
  • Familiarity with kinetic energy equations, specifically E=(1/2)mv²
  • Knowledge of relativistic momentum and energy equations
  • Ability to manipulate equations symbolically, preferably using LaTeX
NEXT STEPS
  • Study the conservation of momentum in particle physics
  • Learn about relativistic energy equations and their applications
  • Practice using LaTeX for presenting physics equations clearly
  • Explore examples of decay processes and their resulting particle speeds
USEFUL FOR

Students of physics, particularly those studying nuclear decay processes, as well as educators and tutors looking to enhance their understanding of momentum and energy conservation in particle interactions.

  • #31
KE of He5 would be 0 since the problems states it at rest before the reaction.
KE of He4 is given to us.
KE of Neutron could be found using KE=mv2/2. The mass is given to us in the question, and we already found velocity.
Ok, so what do i do when I found the KE? Am i going to be using E=mc2?
 
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  • #32
bob dobilina said:
KE of He5 would be 0 since the problems states it at rest before the reaction.
KE of He4 is given to us.
KE of Neutron could be found using KE=mv2/2. The mass is given to us in the question, and we already found velocity.
Ok, so what do i do when I found the KE? Am i going to be using E=mc2?
Yes.
 
  • #33
haruspex said:
Yes.
Could I use the total kinetic energy to find the mass defect by manipulating e=mc2? If so, once I find the mass defect, can I add that mass to the mass of He4 and the neutron to get the mass of He5?
 
  • #34
bob dobilina said:
Could I use the total kinetic energy to find the mass defect by manipulating e=mc2? If so, once I find the mass defect, can I add that mass to the mass of He4 and the neutron to get the mass of He5?
Yes.
 

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