Edexcel M2 2011 January — Question 2 5 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2011
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicImpulse and momentum (advanced)
TypeEnergy change from impulse
DifficultyModerate -0.3 This is a straightforward M2 mechanics question requiring application of the impulse-momentum theorem to find final velocity, then calculation of kinetic energy using standard formula. It involves vector arithmetic and routine procedures with no conceptual challenges or novel problem-solving, making it slightly easier than average.
Spec6.02d Mechanical energy: KE and PE concepts6.03f Impulse-momentum: relation
2. A particle of mass 2 kg is moving with velocity \(( 5 \mathbf { i } + \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\) when it receives an impulse of \(( - 6 \mathbf { i } + 8 \mathbf { j } ) \mathrm { N }\) s. Find the kinetic energy of the particle immediately after receiving the impulse.
(5) \includegraphics[max width=\textwidth, alt={}, center]{c5760fa5-3c7f-4e29-87a2-b3b4145b9361-03_41_1571_504_185}
Question 2:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
\(\mathbf{I} = (-6\mathbf{i}+8\mathbf{j}) = 2(\mathbf{v}-(5\mathbf{i}+\mathbf{j}))\)M1A1
\(-3\mathbf{i}+4\mathbf{j} = \mathbf{v}-5\mathbf{i}-\mathbf{j}\)
\(\mathbf{v} = 2\mathbf{i}+5\mathbf{j}\)A1
\(KE = \frac{1}{2}\times 2\times\mathbf{v} ^2 = \left(\sqrt{2^2+5^2}\right)^2 = 29 \text{ (J)}\)
[5] 
## Question 2:
| Answer/Working | Marks | Guidance |
|---|---|---|
| $\mathbf{I} = (-6\mathbf{i}+8\mathbf{j}) = 2(\mathbf{v}-(5\mathbf{i}+\mathbf{j}))$ | M1A1 | |
| $-3\mathbf{i}+4\mathbf{j} = \mathbf{v}-5\mathbf{i}-\mathbf{j}$ | | |
| $\mathbf{v} = 2\mathbf{i}+5\mathbf{j}$ | A1 | |
| $KE = \frac{1}{2}\times 2\times|\mathbf{v}|^2 = \left(\sqrt{2^2+5^2}\right)^2 = 29 \text{ (J)}$ | M1 A1 | |
| | **[5]** | |

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2. A particle of mass 2 kg is moving with velocity $( 5 \mathbf { i } + \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }$ when it receives an impulse of $( - 6 \mathbf { i } + 8 \mathbf { j } ) \mathrm { N }$ s. Find the kinetic energy of the particle immediately after receiving the impulse.\\
(5)\\

\includegraphics[max width=\textwidth, alt={}, center]{c5760fa5-3c7f-4e29-87a2-b3b4145b9361-03_41_1571_504_185}\\

\hfill \mbox{\textit{Edexcel M2 2011 Q2 [5]}}
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Q1 6 Q2 5 Q3 8 Q4 11 Q5 10 Q6 12 Q7 10 Q8 13