Edexcel M1 2007 January — Question 6

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2007
SessionJanuary
TopicNewton's laws and connected particles

6. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 3} \includegraphics[alt={},max width=\textwidth]{7edcbe3d-dd90-41b4-9b87-fccae38927c7-10_230_642_298_659}
\end{figure} A box of mass 30 kg is being pulled along rough horizontal ground at a constant speed using a rope. The rope makes an angle of \(20 ^ { \circ }\) with the ground, as shown in Figure 3. The coefficient of friction between the box and the ground is 0.4 . The box is modelled as a particle and the rope as a light, inextensible string. The tension in the rope is \(P\) newtons.
  1. Find the value of \(P\). The tension in the rope is now increased to 150 N .
  2. Find the acceleration of the box.