Edexcel M1 2013 June — Question 1 6 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2013
SessionJune
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMomentum and Collisions
TypeDirect collision, find impulse magnitude
DifficultyModerate -0.8 This is a straightforward M1 momentum question requiring direct application of the impulse-momentum theorem to each particle separately. Students need to set up sign conventions and apply J = mv - mu twice, but no problem-solving insight is required—it's a standard textbook exercise with clearly given values and routine algebraic manipulation.
Spec6.03b Conservation of momentum: 1D two particles6.03f Impulse-momentum: relation

Two particles \(A\) and \(B\), of mass 2 kg and 3 kg respectively, are moving towards each other in opposite directions along the same straight line on a smooth horizontal surface. The particles collide directly. Immediately before the collision the speed of \(A\) is 5 m s\(^{-1}\) and the speed of \(B\) is 6 m s\(^{-1}\). The magnitude of the impulse exerted on \(B\) by \(A\) is 14 N s. Find
  1. the speed of \(A\) immediately after the collision, [3]
  2. the speed of \(B\) immediately after the collision. [3]

Two particles $A$ and $B$, of mass 2 kg and 3 kg respectively, are moving towards each other in opposite directions along the same straight line on a smooth horizontal surface. The particles collide directly. Immediately before the collision the speed of $A$ is 5 m s$^{-1}$ and the speed of $B$ is 6 m s$^{-1}$. The magnitude of the impulse exerted on $B$ by $A$ is 14 N s. Find

\begin{enumerate}[label=(\alph*)]
\item the speed of $A$ immediately after the collision, [3]
\item the speed of $B$ immediately after the collision. [3]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2013 Q1 [6]}}