Edexcel M1 2024 January — Question 2

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2024
SessionJanuary
TopicMomentum and Collisions

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e59a66b8-c2ad-41fd-9959-9d21e9455c37-04_204_947_242_559} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 2 shows two particles, \(A\) and \(B\), moving in opposite directions on a smooth horizontal surface. Particle \(A\) has mass 5 kg and particle \(B\) has mass \(x \mathrm {~kg}\). The particles collide directly.
Immediately before the collision, the speed of \(A\) is \(3 \mathrm {~ms} ^ { - 1 }\) and the speed of \(B\) is \(x \mathrm {~ms} ^ { - 1 }\)
Immediately after the collision, the speed of \(A\) is \(1 \mathrm {~ms} ^ { - 1 }\) and its direction of motion is unchanged. Immediately after the collision, the speed of \(B\) is \(1.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
  1. Find the value of \(x\).
  2. Find the magnitude of the impulse exerted on \(A\) by \(B\) in the collision.