CAIE M1 2007 June — Question 4

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2007
SessionJune
TopicNewton's laws and connected particles

4
\includegraphics[max width=\textwidth, alt={}, center]{f7a22c07-44e3-4891-be60-cbab772f45df-3_702_709_269_719} Particles \(P\) and \(Q\), of masses 0.6 kg and 0.2 kg respectively, are attached to the ends of a light inextensible string which passes over a smooth fixed peg. The particles are held at rest with the string taut. Both particles are at a height of 0.9 m above the ground (see diagram). The system is released and each of the particles moves vertically. Find
  1. the acceleration of \(P\) and the tension in the string before \(P\) reaches the ground,
  2. the time taken for \(P\) to reach the ground.