Edexcel M2 2022 January — Question 1 8 marks

Exam BoardEdexcel
ModuleM2 (Mechanics 2)
Year2022
SessionJanuary
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicImpulse and momentum (advanced)
TypeAngle change from impulse
DifficultyStandard +0.3 This is a straightforward M2 impulse-momentum question requiring application of the impulse-momentum equation (mv = mu + I), followed by routine calculations of speed using Pythagoras and angle using dot product or component methods. All steps are standard procedures with no conceptual challenges beyond knowing the basic formula.
Spec6.03e Impulse: by a force6.03f Impulse-momentum: relation

  1. A particle of mass 0.5 kg is moving with velocity \(( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { ms } ^ { - 1 }\) when it receives an impulse of ( \(- 4 \mathbf { i } + 6 \mathbf { j }\) )Ns.
    1. Find the speed of the particle immediately after it receives the impulse.
    2. Find the size of the angle between the direction of motion of the particle immediately before it receives the impulse and the direction of motion of the particle immediately after it receives the impulse.
      (3)

\begin{enumerate}
  \item A particle of mass 0.5 kg is moving with velocity $( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { ms } ^ { - 1 }$ when it receives an impulse of ( $- 4 \mathbf { i } + 6 \mathbf { j }$ )Ns.\\
(a) Find the speed of the particle immediately after it receives the impulse.\\
(b) Find the size of the angle between the direction of motion of the particle immediately before it receives the impulse and the direction of motion of the particle immediately after it receives the impulse.\\
(3)\\

\end{enumerate}

\hfill \mbox{\textit{Edexcel M2 2022 Q1 [8]}}