Edexcel M1 2003 June — Question 2 7 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2003
SessionJune
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMomentum and Collisions
TypeGiven impulse, find velocity or mass
DifficultyEasy -1.3 This is a straightforward M1 mechanics question requiring direct application of impulse-momentum theorem (part a) and conservation of momentum (part b), followed by another impulse calculation (part c). All steps are routine with no problem-solving insight needed—just plug values into standard formulas.
Spec6.03b Conservation of momentum: 1D two particles6.03f Impulse-momentum: relation

2. Two particles \(A\) and \(B\) have mass 0.12 kg and 0.08 kg respectively. They are initially at rest on a smooth horizontal table. Particle \(A\) is then given an impulse in the direction \(A B\) so that it moves with speed \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) directly towards \(B\).
  1. Find the magnitude of this impulse, stating clearly the units in which your answer is given.
    (2) Immediately after the particles collide, the speed of \(A\) is \(1.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), its direction of motion being unchanged.
  2. Find the speed of \(B\) immediately after the collision.
  3. Find the magnitude of the impulse exerted on \(A\) in the collision.

2. Two particles $A$ and $B$ have mass 0.12 kg and 0.08 kg respectively. They are initially at rest on a smooth horizontal table. Particle $A$ is then given an impulse in the direction $A B$ so that it moves with speed $3 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ directly towards $B$.
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of this impulse, stating clearly the units in which your answer is given.\\
(2)

Immediately after the particles collide, the speed of $A$ is $1.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, its direction of motion being unchanged.
\item Find the speed of $B$ immediately after the collision.
\item Find the magnitude of the impulse exerted on $A$ in the collision.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2003 Q2 [7]}}