Minimum Velocity of Nuclei in Nuclear Fusion

AI Thread Summary
The discussion centers on calculating the minimum initial velocity required for two deuterium nuclei to overcome the Coulomb repulsion and achieve fusion at a separation of 1 × 10−14 m. Participants express uncertainty about how to approach the problem, indicating a need for guidance on relevant equations and concepts. The conversation suggests thinking of the scenario as a classical collision, emphasizing the conservation of energy and momentum. There is a request for collaborative problem-solving to clarify the necessary steps and calculations. Overall, the thread highlights the complexities involved in nuclear fusion calculations and the importance of foundational physics principles.
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? Nuclear Fusion

Homework Statement



Two deuterium nuclei overcome the Coulomb
force of repulsion and attain the necessary
1 × 10−14 m distance for fusion.
What is the minimum initial velocity of
each nuclei, as measured in the center-of-
mass frame? The permittivity of free space
is 8.85419 × 10−12 C2/N · m2, the mass of a
proton is 1.67262 × 10−27 kg, the mass of a
neutron 1.67493 × 10−27 kg and the charge
on an electron −1.60218 × 10−19 C.
Answer in units of m/s.

Homework Equations


I do not know how to do this:
2mv.5(v)=ka/rm
r=separation b/w nuclei

The Attempt at a Solution


I am more than willing to work this out with someone. Usually I have an attempt; however, I believe I have no where to begin. Any help is appreciated.
 
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Think of it in terms of a classical collision problem. E.q. a car crashes into a spring (or something like that). What determines how close the particles get?
What is conserved throughout the process?
 
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