


\( \sum
\boldsymbol{p}_\mathrm{before}\)\(
= \space \boldsymbol{p}_\mathrm{1,i} +
\boldsymbol{p}_\mathrm{2,i}\)
\(= \space
m_1\boldsymbol{v}_\mathrm{1,i} +
m_2\boldsymbol{v}_\mathrm{2,i}\)
\( =\space
(\)
\()(\)
0
\() + (\)
\()(\)
0
\()
\space \)
\(= \space ( \)
\(
) +
( \)
\( ) \)
\(= \space \)
$$ \mathrm{kg} \cdot \mathrm{m} \cdot \mathrm{s}^{-1} $$
\( \sum
\boldsymbol{p}_\mathrm{after}\)\(
= \space \boldsymbol{p}_\mathrm{1,f} +
\boldsymbol{p}_\mathrm{2,f}\)
\(= \space
m_1\boldsymbol{v}_\mathrm{1,f} +
m_2\boldsymbol{v}_\mathrm{2,f}\)
\( =\space
(\)
\()(\)
\() + (\)
\()(\)
\()
\space \)
\(= \space ( \)
\( )
+
( \)
\( ) \)
\(= \space \)
$$ \mathrm{kg} \cdot \mathrm{m} \cdot \mathrm{s}^{-1} $$