5. Two small balls $A$ and $B$ have masses 0.6 kg and 0.2 kg respectively. They are moving towards each other in opposite directions on a horizontal table when they collide directly. Immediately before the collision, the speed of $A$ is $4.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ and the speed of $B$ is $3 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. Immediately after the collision, $A$ and $B$ move in the same direction and the speed of $B$ is twice the speed of $A$.\\
By modelling the balls as particles, find
\begin{enumerate}[label=(\alph*)]
\item the speed of $B$ immediately after the collision,
\item the magnitude of the impulse exerted on $B$ in the collision, stating the units in which your answer is given.\\
(3 marks)\\
The table is rough. After the collision, $B$ moves a distance of 2 m on the table before coming to rest.
\item Find the coefficient of friction between $B$ and the table.\\
(6 marks)
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1  Q5 [12]}}