Edexcel M2 2023 June — Question 1 7 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2023
SessionJune
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicImpulse and momentum (advanced)
TypeImpulse from velocity change
DifficultyModerate -0.3 This is a straightforward application of the impulse-momentum theorem (I = mv - mu) with vector components. Part (a) requires basic vector arithmetic and magnitude calculation, while part (b) needs a dot product or component angle calculation. Standard M2 material with no conceptual challenges beyond routine application of formulas.
Spec6.03e Impulse: by a force6.03f Impulse-momentum: relation

  1. A particle \(P\) of mass 0.3 kg is moving with velocity \(5 \mathbf { i } \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
The particle receives an impulse I Ns.
Immediately after receiving the impulse, the velocity of \(P\) is \(( 7 \mathbf { i } + 7 \mathbf { j } ) \mathrm { ms } ^ { - 1 }\)
  1. Find the magnitude of \(\mathbf { I }\)
  2. Find the angle between the direction of \(\mathbf { I }\) and the direction of motion of \(P\) immediately before receiving the impulse.

\begin{enumerate}
  \item A particle $P$ of mass 0.3 kg is moving with velocity $5 \mathbf { i } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
\end{enumerate}

The particle receives an impulse I Ns.\\
Immediately after receiving the impulse, the velocity of $P$ is $( 7 \mathbf { i } + 7 \mathbf { j } ) \mathrm { ms } ^ { - 1 }$\\
(a) Find the magnitude of $\mathbf { I }$\\
(b) Find the angle between the direction of $\mathbf { I }$ and the direction of motion of $P$ immediately before receiving the impulse.

\hfill \mbox{\textit{Edexcel M2 2023 Q1 [7]}}