Minimum Initial Velocity for Deuterium Fusion in Center-of-Mass Frame

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The discussion focuses on calculating the minimum initial velocity required for two deuterium nuclei to overcome the Coulomb force for fusion at a distance of 1 × 10−14 m. Participants are seeking assistance with the necessary equations and values, including the mass and charge of a deuterium nucleus. Key questions include determining the potential energy due to the Coulomb field at the specified separation and how to use that to find the initial velocity in the center-of-mass frame. There is a clear need for collaboration and guidance in solving this physics problem. The conversation emphasizes the importance of understanding the underlying principles of nuclear fusion.
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Please help me with this!

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.

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


3. 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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What's the mass of a deuterium nucleus? What's its charge?

What's the potential energy due to the Coulomb field for two deuterium nuclei at the specified separation?
 
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