- #1

kraigandrews

- 108

- 0

## Homework Statement

A mass m with initial velocity v0 collides head on with a mass 2m initially at rest. What is the final velocity of the smaller mass, as a ratio to v0?

What is the final velocity of the larger mass, as a ratio to v0?

## Homework Equations

Pi=Pf

KE=.5mv^2

## The Attempt at a Solution

for part a I am confused as to what I am doing wrong:

mv

_{o}=mv

_{1}+2mv

_{2}

it wants to find v1 in terms of vo so:

v

_{2}=.5(v

_{o}+v

_{1})

then plug into KE equation:

v

_{o}

^{2}=v

_{1}

^{2}+.25(v

_{1}

^{2}+v

_{o}

^{2})

and simplify to get

(3/4)v

_{o}

^{2}=(5/4)v

_{1}

^{2}

then v

_{1}=(3/5)

^{1/2}v

_{o}