Edexcel M2 2017 June — Question 1 6 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2017
SessionJune
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicImpulse and momentum (advanced)
TypeImpulse from velocity change
DifficultyModerate -0.8 This is a straightforward application of the impulse-momentum theorem (I = mv - mu) with vector components. It requires basic vector arithmetic and finding magnitude/angle, which are standard M2 techniques with no problem-solving insight needed. Simpler than average A-level questions due to its direct plug-and-calculate nature.
Spec6.03f Impulse-momentum: relation6.03g Impulse in 2D: vector form

  1. A particle \(P\) of mass 0.5 kg is moving with velocity \(4 \mathbf { j } \mathrm {~m} \mathrm {~s} ^ { - 1 }\) when it receives an impulse I Ns. Immediately after \(P\) receives the impulse, the velocity of \(P\) is \(( 2 \mathbf { i } + 3 \mathbf { j } ) \mathrm { ms } ^ { - 1 }\).
Find
  1. the magnitude of \(\mathbf { I }\),
  2. the angle between \(\mathbf { I }\) and \(\mathbf { j }\).

\begin{enumerate}
  \item A particle $P$ of mass 0.5 kg is moving with velocity $4 \mathbf { j } \mathrm {~m} \mathrm {~s} ^ { - 1 }$ when it receives an impulse I Ns. Immediately after $P$ receives the impulse, the velocity of $P$ is $( 2 \mathbf { i } + 3 \mathbf { j } ) \mathrm { ms } ^ { - 1 }$.
\end{enumerate}

Find\\
(a) the magnitude of $\mathbf { I }$,\\
(b) the angle between $\mathbf { I }$ and $\mathbf { j }$.\\

\hfill \mbox{\textit{Edexcel M2 2017 Q1 [6]}}