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## Homework Statement

https://scontent-a-sjc.xx.fbcdn.net/hphotos-prn1/t1.0-9/603671_1409914319284787_3441607163537875560_n.jpg

## Homework Equations

conservation of total momentum

M

_{1}V

_{1}+M

_{2}V

_{2}= M

_{tot}V

_{f}

## The Attempt at a Solution

I tried using the COTM

as such:

x: M

_{1}V

_{1i}COSΘ

_{1}+M

_{2}V

_{2}SINΘ

_{2}=M

_{tot}V

_{f}

y: M

_{1}V

_{1i}SINΘ

_{1}+M

_{2}V

_{2}COSΘ

_{2}=M

_{tot}V

_{f}

then dividing 1/2:

COTΘ

_{1}+ TANΘ

_{2}= 1

Θ

_{2}= TAN

^{-1}(1-COTΘ

_{1})

After plugging in the values im getting Θ

_{2}= -10.85°

What am I doing wrong?