5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{aaa8b297-347c-4a9b-a2c2-c4bd70d56912-07_237_657_264_703}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
A particle \(P\) of mass 2 kg is pushed up a line of greatest slope of a rough plane by a horizontal force of magnitude \(X\) newtons, as shown in Figure 2. The force acts in the vertical plane which contains \(P\) and a line of greatest slope of the plane. The plane is inclined to the horizontal at an angle \(\alpha\), where \(\tan \alpha = \frac { 3 } { 4 }\)
The coefficient of friction between \(P\) and the plane is 0.5
Given that the acceleration of \(P\) is \(1.45 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), find the value of \(X\).