Edexcel M1 — Question 5

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
TopicFriction

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2108a1be-0214-42c4-9cb4-8622cc0fa496-3_318_832_1165_452} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Figure 2 shows a large block of mass 50 kg being pulled on rough horizontal ground by means of a rope attached to the block. The tension in the rope is 200 N and it makes an angle of \(40 ^ { \circ }\) with the horizontal. Under these conditions, the block is on the point of moving. Modelling the block as a particle,
  1. show that the coefficient of friction between the block and the ground is 0.424 correct to 3 significant figures.
    (6 marks)
    The angle with the horizontal at which the rope is being pulled is reduced to \(30 ^ { \circ }\). Ignoring air resistance and assuming that the tension in the rope and the coefficient of friction remain unchanged,
  2. find the acceleration of the block.
    (6 marks) Turn over