Edexcel AS Paper 2 2024 June — Question 3 5 marks

Exam BoardEdexcel
ModuleAS Paper 2 (AS Paper 2)
Year2024
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicForces, equilibrium and resultants
TypeForces in vector form: resultant and acceleration
DifficultyModerate -0.3 This is a straightforward AS-level mechanics problem requiring vector addition of forces, application of F=ma, finding magnitude of acceleration vector, and solving a quadratic equation. All steps are standard procedures with no novel insight required, making it slightly easier than average.
Spec1.10d Vector operations: addition and scalar multiplication3.03d Newton's second law: 2D vectors3.03p Resultant forces: using vectors

  1. \hspace{0pt} [In this question, \(\mathbf { i }\) and \(\mathbf { j }\) are perpendi cular unit vectors in a horizontal plane]
A particle P is moving on a smooth horizontal surface under the action of two forces.
Given that
  • the mass of P is 2 kg
  • the two forces are \(( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { N }\) and \(( \mathbf { i } - 2 \mathbf { j } ) \mathrm { N }\), where C is a constant
  • the magnitude of the acceleration of P is \(\sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 2 }\) find the two possible values of C .

Question 3:
*Correct answers (credit-worthy responses):*
AnswerMarks Guidance
The trailer could be affected by any unevenness of the road e.g. potholes, bumps etcB1 Accept equivalent statements about road surface irregularities
Does not take account of the type of groundB1 Accept equivalent statements about ground type
## Question 3:
*Correct answers (credit-worthy responses):*

The trailer could be affected by any unevenness of the road e.g. potholes, bumps etc | B1 | Accept equivalent statements about road surface irregularities

Does not take account of the type of ground | B1 | Accept equivalent statements about ground type
\begin{enumerate}
  \item \hspace{0pt} [In this question, $\mathbf { i }$ and $\mathbf { j }$ are perpendi cular unit vectors in a horizontal plane]
\end{enumerate}

A particle P is moving on a smooth horizontal surface under the action of two forces.\\
Given that

\begin{itemize}
  \item the mass of P is 2 kg
  \item the two forces are $( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { N }$ and $( \mathbf { i } - 2 \mathbf { j } ) \mathrm { N }$, where C is a constant
  \item the magnitude of the acceleration of P is $\sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 2 }$\\
find the two possible values of C .
\end{itemize}

\hfill \mbox{\textit{Edexcel AS Paper 2 2024 Q3 [5]}}