OCR MEI M1 — Question 2

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

2 Fig. 3 shows two people, Sam and Tom, pushing a car of mass 1000 kg along a straight line \(l\) on level ground. Sam pushes with a constant horizontal force of 300 N at an angle of \(30 ^ { \circ }\) to the line \(l\).
Tom pushes with a constant horizontal force of 175 N at an angle of \(15 ^ { \circ }\) to the line \(l\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d5a09ed4-a32f-4ff7-aa08-6e54c2ab26a0-2_289_1132_571_507} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure}
  1. The car starts at rest and moves with constant acceleration. After 6 seconds it has travelled 7.2 m . Find its acceleration.
  2. Find the resistance force acting on the car along the line \(l\).
  3. The resultant of the forces exerted by Sam and Tom is not in the direction of the car's acceleration. Explain briefly why.