AQA M1 2005 June — Question 1

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2005
SessionJune
TopicMomentum and Collisions

1 A particle of mass \(m\) has velocity \(\left[ \begin{array} { l } 4
2 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\). It then collides with a particle of mass 3 kg which has velocity \(\left[ \begin{array} { l } - 1
- 1 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\). During the collision the particles coalesce and move with velocity \(\left[ \begin{array} { l } 1
V \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\).
  1. Show that \(m = 2\).
  2. Find \(V\).