AQA M1 2009 June — Question 1

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2009
SessionJune
TopicMomentum and Collisions

1 Two particles, \(A\) and \(B\), are moving on a smooth horizontal surface when they collide. During the collision, the two particles coalesce to form a single combined particle. Particle \(A\) has mass 3 kg and particle \(B\) has mass 7 kg . Before the collision, the velocity of \(A\) is \(\left[ \begin{array} { r } 6
- 2 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\) and the velocity of \(B\) is \(\left[ \begin{array} { r } - 1
4 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\).
  1. Find the velocity of the combined particle after the collision.
  2. Find the speed of the combined particle after the collision.