SPS SPS FM Mechanics 2023 January — Question 5

Exam BoardSPS
ModuleSPS FM Mechanics (SPS FM Mechanics)
Year2023
SessionJanuary
TopicMomentum and Collisions 2

5. Two smooth circular discs \(A\) and \(B\) are moving on a horizontal plane. The masses of \(A\) and \(B\) are 3 kg and 4 kg respectively. At the instant before they collide
  • the velocity of \(A\) is \(2 \mathrm {~ms} ^ { - 1 }\) at an angle of \(60 ^ { \circ }\) to the line joining their centres,
  • the velocity of \(B\) is \(5 \mathrm {~ms} ^ { - 1 }\) towards \(A\) along the line joining their centres (see Fig. 6).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{15f4500a-8eb8-4b5f-896c-de730272a35b-12_451_961_406_255} \captionsetup{labelformat=empty} \caption{Fig. 6}
\end{figure} Given that the velocity of \(A\) after the collision is perpendicular to the velocity of \(A\) before the collision find the coefficient of restitution between \(A\) and \(B\).
[0pt] [Question 5 Continued] \section*{6.}