AQA M1 2010 June — Question 3

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2010
SessionJune
TopicMomentum and Collisions 2

3 Two particles, \(A\) and \(B\), are moving on a smooth horizontal plane when they collide. The mass of \(A\) is 6 kg and the mass of \(B\) is \(m \mathrm {~kg}\). Before the collision, the velocity of \(A\) is \(\left[ \begin{array} { l } 2
4 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\) and the velocity of \(B\) is \(\left[ \begin{array} { r } 3
- 2 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\). After the collision, the velocity of \(A\) is \(\left[ \begin{array} { l } 1
3 \end{array} \right] \mathrm { m } \mathrm { s } ^ { - 1 }\) and the velocity of \(B\) is \(\left[ \begin{array} { l } 7
b \end{array} \right] \mathrm { ms } ^ { - 1 }\).
  1. Find \(m\).
  2. \(\quad\) Find \(b\).
    (2 marks)
    .......... \(\_\_\_\_\)
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