Can anyone please help on this algebraic problem I encountered while answering

DVN

New member
a physics question? The answer book shows the following:

Initial momentum = m x v = mv
Final momentum = (m x 1/2v) + (m x 1/2v) = mv

How come the answer is not 2mv.The 1/2v's added up to give v, why doesn't m + m give 2m??

Thx!
 
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