5 A small block \(P\) is attached to another small block \(Q\) by a light inextensible string. The block \(P\) rests on a rough horizontal surface and the string hangs over a smooth peg so that \(Q\) hangs freely, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{cfe0bdbc-35e3-485f-a922-b652a72f4c95-4_222_426_507_810}
The block \(P\) has mass 0.4 kg and the coefficient of friction between \(P\) and the surface is 0.5 .
The block \(Q\) has mass 0.3 kg .
The system is released from rest and \(Q\) moves vertically downwards.
- Draw a diagram to show the forces acting on \(P\).
- Show that the frictional force between \(P\) and the surface has magnitude 1.96 newtons.
- By forming an equation of motion for each block, show that the magnitude of the acceleration of each block is \(1.4 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
- Find the speed of the blocks after 3 seconds of motion.
- After 3 seconds of motion, the string breaks. The blocks continue to move. Comment on how the speed of each block will change in the subsequent motion. For each block, give a reason for your answer.