5.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{2f2f89a6-cec4-444d-95d9-0112887d87eb-14_588_908_292_794}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{center}
\end{figure}

Two particles, $P$ and $Q$, have masses 3 kg and 5 kg respectively. The particles are connected by a light inextensible string which passes over a small smooth fixed pulley.

The particles are released from rest with the string taut and the hanging parts of the string vertical, as shown in Figure 3.

Immediately after the particles are released from rest, $P$ moves upwards with acceleration $a \mathrm {~ms} ^ { - 2 }$ and the tension in the string is $T$ newtons.
\begin{enumerate}[label=(\alph*)]
\item Write down an equation of motion for $P$.
\item Find the value of $T$.

The total force acting on the pulley due to the string has magnitude $F$ newtons.
\item Find the value of $F$.

Initially, $Q$ is 10 m above horizontal ground and $P$ is more than 2 m below the pulley.\\
At the instant when $Q$ has descended a distance of 2 m , the string breaks and $Q$ falls to the ground.
\item Find the speed of $Q$ at the instant it hits the ground.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2024 Q5}}