How Do You Calculate Deuteron's Velocity After a Neutron Collision?

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To calculate the deuteron's velocity after a neutron collision, the conservation of momentum must be applied in both the x and y directions. The neutron's initial momentum in the x direction is equal to the combined momentum of the deuteron and the neutron after the collision. Since the neutron is deflected by 90 degrees and moves with a reduced speed, the deuteron's velocity can be determined by solving the momentum equations. The mass relationship, with the deuteron being twice the mass of the neutron, plays a crucial role in the calculations. Understanding these principles will help in deriving the deuteron's velocity components post-collision.
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I'm at the last equation of my homework and I'm stuck

Homework Statement



In a nuclear reactor, a neutron moving at speed vo (vo is initial speed) in the positive x direction strikes a deuteron, which is at rest. The neutron is deflected by 90 degrees and moves off with a speed vo/*square root of three* in the positve y direction.



Homework Equations



Find the x and y components of the deuteron's velocity after the collision. The mass of the deuteron is twice the mass of the neutron.

The Attempt at a Solution



I tried, but I don't get it.
Plz help me show work if you can thxs.
 
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I don't get it?
 
what do I do because the mass in twice?
 
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