OCR MEI AS Paper 1 2019 June — Question 6

Exam BoardOCR MEI
ModuleAS Paper 1 (AS Paper 1)
Year2019
SessionJune
TopicNewton's laws and connected particles

6 Fig. 6 shows a train consisting of an engine of mass 80 tonnes pulling two trucks each of mass 25 tonnes. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0b1c272a-f0f4-4931-be89-5d045804a7af-4_189_1262_938_246} \captionsetup{labelformat=empty} \caption{Fig. 6}
\end{figure} The engine exerts a driving force of \(D \mathrm {~N}\) and experiences a resistance to motion of 2000 N . Each truck experiences a resistance of 600 N . The train travels in a straight line on a level track with an acceleration of \(0.1 \mathrm {~ms} ^ { - 2 }\).
  1. Complete the force diagram in the Printed Answer Booklet to show all the forces acting on the engine and each of the trucks.
  2. Calculate the value of \(D\).
  3. The tension in the coupling between the engine and truck A is larger than that in the coupling between the trucks. Determine how much larger.