8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bf4361b8-acd2-4133-81b7-2f68d018486f-4_478_529_1142_589}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{figure}
Figure 2 shows two particles \(P\) and \(Q\), of mass 3 kg and 2 kg respectively, attached to the ends of a light, inextensible string which passes over a smooth, fixed pulley. The system is released from rest with \(P\) and \(Q\) at the same level 1.5 metres above the ground and 2 metres below the pulley.
- Show that the initial acceleration of the system is \(\frac { g } { 5 } \mathrm {~ms} ^ { - 2 }\).
- Find the tension in the string.
- Find the speed with which \(P\) hits the ground.
When \(P\) hits the ground, it does not rebound.
- What is the closest that \(Q\) gets to the pulley.