Calculating Resultant Velocity of Colliding Particles - Homework Check

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The discussion focuses on calculating the resultant velocity of two colliding particles with masses 1 and 2, moving at specified velocities. The user seeks confirmation on their approach using the conservation of momentum and whether their final expression matches the expected answer. Feedback indicates that the approach is correct, but the representation of the final velocity direction needs adjustment. Additionally, a suggestion is made to simplify the final expression by dividing each term by 3. Overall, the user receives validation and constructive advice for refining their solution.
elle
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Quick homework check please!

Two particles of masses 1 and 2 are moving with velocities 4i and i-√3j on a smooth table. They collide and stick together.
Show that the resultant particle has velocity 2(i-j /√3)
My solution so far:
http://i26.photobucket.com/albums/c109/mathsnerd/e1f01885.jpg"
Have I approached the question correctly by using the conservation of momentum equation and is my last line the same as the answer given in the question? :confused: I'm not too fond of cancelling square roots...
Thanks for your time!
 
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Looks OK to me. (The arrow you drew to represent the final velocity isn't pointing in the right direction, though. :smile: )

To simplify the last expression, divide each term by 3, realizing that 3 = \sqrt{3} * \sqrt{3}.
 
oh, thanks! :biggrin: glad to know I am doing it right :smile:
 

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