Edexcel M2 2013 June — Question 1 5 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2013
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicImpulse and momentum (advanced)
TypeVelocity after impulse (direct calculation)
DifficultyModerate -0.8 This is a straightforward application of the impulse-momentum theorem with vector components. Students need to apply Impulse = change in momentum, add vectors component-wise, then find the magnitude. It's a standard M2 textbook exercise requiring only direct formula application with no problem-solving insight or geometric complexity.
Spec1.10c Magnitude and direction: of vectors6.03e Impulse: by a force6.03f Impulse-momentum: relation

  1. A particle \(P\) of mass 2 kg is moving with velocity \(( \mathbf { i } - 4 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\) when it receives an impulse of \(( 3 \mathbf { i } + 6 \mathbf { j } ) \mathrm { N } \mathrm { s }\).
Find the speed of \(P\) immediately after the impulse is applied.
(5)

Question 1:
AnswerMarks Guidance
11 2
1/21/2 y
AOBOBCD DOE
12 1
11 1
Question 1:

| | |
|---|---|---|
| 1 | 1 | 2 |
| 1/2 | 1/2 | y |

AOB | OBCD | DOE | whole
1 | 2 | 1 | 4

1 | 1 | 1 | 1 | 4
\begin{enumerate}
  \item A particle $P$ of mass 2 kg is moving with velocity $( \mathbf { i } - 4 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$ when it receives an impulse of $( 3 \mathbf { i } + 6 \mathbf { j } ) \mathrm { N } \mathrm { s }$.
\end{enumerate}

Find the speed of $P$ immediately after the impulse is applied.\\
(5)\\

\hfill \mbox{\textit{Edexcel M2 2013 Q1 [5]}}