OCR MEI M1 2011 January — Question 5

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2011
SessionJanuary
TopicNewton's laws and connected particles

5 Fig. 5 shows two boxes, A of mass 12 kg and B of mass 6 kg , sliding in a straight line on a rough horizontal plane. The boxes are connected by a light rigid rod which is parallel to the line of motion. The only forces acting on the boxes in the line of motion are those due to the rod and a constant force of \(F \mathrm {~N}\) on each box. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e36ef805-beff-4125-b332-439ccb0d91c4-4_246_1006_479_568} \captionsetup{labelformat=empty} \caption{Fig. 5}
\end{figure} The boxes have an initial speed of \(1.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and come to rest after sliding a distance of 0.375 m .
  1. Calculate the deceleration of the boxes and the value of \(F\).
  2. Calculate the magnitude of the force in the rod and state, with a reason, whether it is a tension or a thrust (compression).