Edexcel M2 2012 June — Question 2

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2012
SessionJune
TopicMomentum and Collisions 1

2. A particle \(P\) of mass \(3 m\) is moving with speed \(2 u\) in a straight line on a smooth horizontal plane. The particle \(P\) collides directly with a particle \(Q\) of mass \(4 m\) moving on the plane with speed \(u\) in the opposite direction to \(P\). The coefficient of restitution between \(P\) and \(Q\) is \(e\).
  1. Find the speed of \(Q\) immediately after the collision. Given that the direction of motion of \(P\) is reversed by the collision,
  2. find the range of possible values of \(e\).