| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Forces in vector form: equilibrium (find unknowns) |
| Difficulty | Moderate -0.8 This is a straightforward equilibrium problem requiring students to set the sum of forces equal to zero and solve two simple linear equations for p and q. It tests basic understanding of vector addition and equilibrium conditions with minimal problem-solving demand. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors3.03b Newton's first law: equilibrium |
| Answer | Marks | Guidance |
|---|---|---|
| \(5 + 2q + 1 = 0 \Rightarrow q = 2\) | M1 A1 | |
| \(4p + 3 + 1 = 0 \Rightarrow p = -1\) | M1 A1 | (4 marks) |
$5 + 2q + 1 = 0 \Rightarrow q = 2$ | M1 A1 |
$4p + 3 + 1 = 0 \Rightarrow p = -1$ | M1 A1 | (4 marks)\begin{enumerate}
\item Three forces $( - 5 \mathbf { i } + 4 p \mathbf { j } ) \mathrm { N } , ( 2 q \mathbf { i } + 3 \mathbf { j } ) \mathrm { N }$ and $( \mathbf { i } + \mathbf { j } ) \mathrm { N }$ act on a particle $A$ of mass 2 kg .
\end{enumerate}
Given that $A$ is in equilibrium, find the values of $p$ and $q$.\\
\hfill \mbox{\textit{Edexcel M1 Q1 [4]}}