AQA M1 2008 January — Question 4

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2008
SessionJanuary
TopicMomentum and Collisions

4 Two particles, \(A\) and \(B\), are moving on a horizontal plane when they collide and coalesce to form a single particle. The mass of \(A\) is 5 kg and the mass of \(B\) is 15 kg . Before the collision, the velocity of \(A\) is \(\left[ \begin{array} { c } 2 U
U \end{array} \right] \mathrm { ms } ^ { - 1 }\) and the velocity of \(B\) is \(\left[ \begin{array} { c } V
- 1 \end{array} \right] \mathrm { ms } ^ { - 1 }\). After the collision, the velocity of the combined particle is \(\left[ \begin{array} { l } V
0 \end{array} \right] \mathrm { ms } ^ { - 1 }\).
  1. Find:
    1. \(U\);
    2. \(V\).
  2. Find the speed of \(A\) before the collision.