Simple wuestion about the sign(+/-) in a momentum conservation problem

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SUMMARY

The discussion centers on the interpretation of the sign of angular momentum (w) in a momentum conservation problem. Participants clarify that if w is treated as a vector, it should be expressed as +w when indicating direction, despite the recoil velocity being in the negative x direction. The inconsistency arises from the mixed representation of scalars and vectors in the equations presented. This highlights the importance of maintaining consistent notation when dealing with vector quantities in physics.

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Homework Statement



http://s861.photobucket.com/albums/ab174/alkaline262/?action=view&current=momentum.jpg

why is it + w instead of -w, it seems like it sould be negative because the recoil velocity is in the negative x direction

you have to admit that is a ms paint masterpiece :D



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The Attempt at a Solution

 
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Yeah, if w is a positive number, then it should be negative.

They might have been treating w as a vector (in this case, you would use +w since the diagram shows w pointing in the negative x direction) but then that equation isn't really consistent since they're not all expressed as vectors.
 

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