momentum : Entering (-m)(+v) and leaving is (+m)(-v) Example: for a rectangular

Question

momentum : Entering (-m)(+v) and leaving is (+m)(-v) Example: for a rectangular control volume, lets say, left side is point 1 and right side is poinit 2. assume we need to hold it in place and flow is from point 1to point 2. If I apply the equation of momentum i get: (-m)(+v) + (m)(-v) = -Fx (discarding other forces just to simplify) rearange -mv -mv= -Fx. (a) What im doing wrong that the book says, that it is : -mv + mv = -Fx. (b) Im really confused because some exanples are done like (a) and others just freaking dont know like (b)

Explanation / Answer

look u have to find the change in momemtem because force=d(mv)

initial momemtum(p1)=-mv

final momemtum(p2) =+m*-v=-mv

now change in momemtum=p2-p1=-mv--(mv)=-mv+mv

so,-mv+mv=-SX

hope u understood plz rate

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