8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9dbbbc01-fb66-460d-a42e-2c37ec8b451a-12_131_940_269_498}
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\caption{Figure 4}
\end{figure}
Two particles \(P\) and \(Q\), of mass 2 kg and 3 kg respectively, are joined by a light inextensible string. Initially the particles are at rest on a rough horizontal plane with the string taut. A constant force \(\mathbf { F }\) of magnitude 30 N is applied to \(Q\) in the direction \(P Q\), as shown in Figure 4. The force is applied for 3 s and during this time \(Q\) travels a distance of 6 m . The coefficient of friction between each particle and the plane is \(\mu\). Find
- the acceleration of \(Q\),
- the value of \(\mu\),
- the tension in the string.
- State how in your calculation you have used the information that the string is inextensible.
When the particles have moved for 3 s , the force \(\mathbf { F }\) is removed.
- Find the time between the instant that the force is removed and the instant that \(Q\) comes to rest.