Simple derivation for elastic collisions, where is my mistake?

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SUMMARY

The discussion centers on deriving the velocity of the target in elastic collisions, specifically focusing on the expression for u2. The participants confirm that the derived expression for u2 is correct but note that the original poster incorrectly stated the answer. It is emphasized that the expression for u2 is typically presented in terms of the initial velocity v1 rather than the final velocity u1, which is a common convention in physics problems involving elastic collisions.

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  • Basic knowledge of kinematics
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mathman44
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Homework Statement



http://postimage.org/image/j2ccrtjp1/

Here is a scan of my work. The problem is on the scan. Just trying to derive the velocity of the target in an elastic collision, as sketched in the image...

Can't seem to find the problem for the life of me.
 
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Your work looks good and the expression you derived for u2 is correct! :smile: You just didn't give the correct expression for what you claim the answer should be.

Usually people are more interested in writing the answer for u2 in terms of the initial velocity v1 rather than the final velocity u1.
 

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