Nuclear Physics help please (alpha decay of a Po-216 atom)

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SUMMARY

The discussion centers on the alpha decay of a polonium-216 (Po-216) atom, which transforms into lead-212 (Pb-212) and an alpha particle. The reaction is represented as Po → Pb + α. Participants emphasize the importance of using Einstein's mass-energy equivalence formula, E=mc², to analyze the decay process. Key calculations involve comparing the momentum and kinetic energy of the initial polonium atom with the total momentum and kinetic energy of the decay products.

PREREQUISITES
  • Understanding of nuclear decay processes, specifically alpha decay.
  • Familiarity with Einstein's mass-energy equivalence (E=mc²).
  • Knowledge of momentum and kinetic energy calculations.
  • Basic concepts of isotopes and their mass values.
NEXT STEPS
  • Study the principles of alpha decay in nuclear physics.
  • Learn how to calculate momentum and kinetic energy in decay reactions.
  • Explore the implications of mass-energy equivalence in nuclear reactions.
  • Investigate the properties and applications of isotopes in nuclear physics.
USEFUL FOR

Students of nuclear physics, physicists specializing in particle physics, and anyone interested in understanding the mechanics of alpha decay and energy transformations in atomic reactions.

Elon Musk
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Homework Statement
Can someone help me with the questions with modern physics (nuclear physics). I am studying modern physics right now, and I need help with this homework question.
Here is a link to the question:

[Link to external question/answer website deleted by the Mentors]
Relevant Equations
E = hf
K hf max = - f
h
p
l =
2 E = m
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1619830062031.png

1619830107151.png
I think that when an atom of polonium (Po-216) is moving slowly enough that it can be considered to be at rest. The Po-216 undergoes alpha decay and becomes lead ( Ph-212 ), via the reaction 깝 Po → Pb + ta. After the decay. the lead atom is moving to the left with speed v. and the alpha particle is moving to the right with speed . The masses of the three isotopes involved in the decay are given below. Mm216 = 216.001915 u Ma 4.002603 Mpm 212 211991898 u ex 17. How do the momentum and kinetic energy of the polonium atom compare with the total momentum and kinetic energy of the decay products?

I think I should use E-mc^2 to use this problem, but I don't know what to use for mass. Is it the change I am mass?
 
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Elon Musk said:
I don't know what to use for mass. Is it the change I am mass?
Find the total energy before and after, the total being (sum of KEs) + (sum of rest masses)##\times mc^2##.
 

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