Edexcel M1 2003 January — Question 1 5 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2003
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMomentum and Collisions
TypeDirect collision, find impulse magnitude
DifficultyModerate -0.8 This is a straightforward application of conservation of momentum and impulse definition with clearly stated values. Part (a) requires one equation with one unknown, and part (b) is a direct calculation using impulse = change in momentum. Both are standard textbook exercises requiring only recall and substitution into formulas, making this easier than average for A-level.
Spec6.03b Conservation of momentum: 1D two particles6.03e Impulse: by a force6.03f Impulse-momentum: relation

A railway truck \(P\) of mass 2000 kg is moving along a straight horizontal track with speed 10 m s\(^{-1}\). The truck \(P\) collides with a truck \(Q\) of mass 3000 kg, which is at rest on the same track. Immediately after the collision \(Q\) moves with speed 5 m s\(^{-1}\). Calculate
  1. the speed of \(P\) immediately after the collision, [3]
  2. the magnitude of the impulse exerted by \(P\) on \(Q\) during the collision. [2]

A railway truck $P$ of mass 2000 kg is moving along a straight horizontal track with speed 10 m s$^{-1}$. The truck $P$ collides with a truck $Q$ of mass 3000 kg, which is at rest on the same track. Immediately after the collision $Q$ moves with speed 5 m s$^{-1}$. Calculate

\begin{enumerate}[label=(\alph*)]
\item the speed of $P$ immediately after the collision, [3]
\item the magnitude of the impulse exerted by $P$ on $Q$ during the collision. [2]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2003 Q1 [5]}}