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

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SUMMARY

The discussion focuses on calculating the velocity of a deuteron after a neutron collision in a nuclear reactor scenario. The neutron, initially moving at speed v0 in the positive x direction, collides with a stationary deuteron and is deflected at a speed of v0/√3 in the positive y direction. Given that the mass of the deuteron is twice that of the neutron, the conservation of momentum principles are applied to derive the x and y components of the deuteron's velocity 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.
 
Last edited:
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I don't get it?
 
what do I do because the mass in twice?
 

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