Edexcel M1 — Question 7

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
TopicMotion on a slope

7. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ee3cbd24-55b1-4003-85bb-26d98f79a118-6_271_683_367_717} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} A small parcel of mass 2 kg moves on a rough plane inclined at an angle of \(30 ^ { \circ }\) to the horizontal. The parcel is pulled up a line of greatest slope of the plane by means of a light rope which it attached to it. The rope makes an angle of \(30 ^ { \circ }\) with the plane, as shown in Fig. 3. The coefficient of friction between the parcel and the plane is 0.4 Given that the tension in the rope is 24 N ,
  1. find, to 2 significant figures, the acceleration of the parcel. The rope now breaks. The parcel slows down and comes to rest.
  2. Show that, when the parcel comes to this position of rest, it immediately starts to move down the plane again.
  3. Find, to 2 significant figures, the acceleration of the parcel as it moves down the plane after it has come to this position of instantaneous rest.