OCR M1 2012 January — Question 1

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2012
SessionJanuary
TopicMomentum and Collisions

1 Particles \(P\) and \(Q\), of masses 0.3 kg and 0.5 kg respectively, are moving in the same direction along the same straight line on a smooth horizontal surface. \(P\) is moving with speed \(2.2 \mathrm {~ms} ^ { - 1 }\) and \(Q\) is moving with speed \(0.8 \mathrm {~ms} ^ { - 1 }\) immediately before they collide. In the collision, the speed of \(P\) is reduced by \(50 \%\) and its direction of motion is unchanged.
  1. Calculate the speed of \(Q\) immediately after the collision.
  2. Find the distance \(P Q\) at the instant 3 seconds after the collision.