Collision of two initially moving objects

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The discussion focuses on understanding the collision of two initially moving objects and the application of conservation of momentum in a center of mass (com) frame. A user is struggling to comprehend a specific step from a referenced website that outlines the process. The key to solving the problem lies in applying the transformation to the com frame and then analyzing the resulting equations. Working backwards from these equations can clarify the steps needed to solve the collision scenario. Overall, mastering this approach is essential for accurately analyzing such collisions.
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So I know how to solve for two initially moving objects that collide one way, but I was reading on this website another way to do it and I am not understanding a step. I've included a picture of the site and underlined the step I don't understand. I've tried a couple ways but I can't get it.

Here is the link the the site as well

http://farside.ph.utexas.edu/teaching/301/lectures/node76.html

Thanks for reading.
 

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"It is easily demonstrated that"... a bunch of equations that result.
YOu should be able to work backwards from the equations - you have to apply the transform to com frame as suggested and then work through the consequences of conservation of momentum.
 
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