Edexcel M1 2013 June — Question 5

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2013
SessionJune
TopicMotion on a slope

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{278c8424-38aa-48c2-bc82-af4be9234f71-07_520_1143_116_406} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} A particle \(P\) of mass 0.6 kg slides with constant acceleration down a line of greatest slope of a rough plane, which is inclined at \(25 ^ { \circ }\) to the horizontal. The particle passes through two points \(A\) and \(B\), where \(A B = 10 \mathrm {~m}\), as shown in Figure 3. The speed of \(P\) at \(A\) is \(2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The particle \(P\) takes 3.5 s to move from \(A\) to \(B\). Find
  1. the speed of \(P\) at \(B\),
  2. the acceleration of \(P\),
  3. the coefficient of friction between \(P\) and the plane.