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## Homework Statement

http://www.aapt.org/physicsteam/2010/upload/2010_FmaSolutions.pdf

See question 23

A' = 1/2A

## Homework Equations

Av = A'v'

## The Attempt at a Solution

I thought this was just a simple Av = A'v' problem

which would lead to v' = 2v. But there is apparently more to it, as the answer is √2v.

It could have to do with the momentum because F_net = 0 so it is conserved.

In that case,

mv = mv but I'm confused about how to use that to solve the problem.