| Exam Board | AQA |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2013 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Resultant of coplanar forces |
| Difficulty | Moderate -0.8 This is a straightforward application of the cosine and sine rules to find the resultant of two forces. It's a standard M1 question requiring only direct application of learned formulae with no problem-solving insight needed, making it easier than average but not trivial since it involves two-step vector resolution. |
| Spec | 1.10c Magnitude and direction: of vectors1.10d Vector operations: addition and scalar multiplication |
4 Two forces, acting at a point, have magnitudes of 40 newtons and 70 newtons. The angle between the two forces is $30 ^ { \circ }$, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{cb5001b1-1744-439f-aa35-8dd01bc90421-3_213_531_400_759}
\begin{enumerate}[label=(\alph*)]
\item Find the magnitude of the resultant of these two forces.
\item Find the angle between the resultant force and the 70 newton force.
\end{enumerate}
\hfill \mbox{\textit{AQA M1 2013 Q4 [7]}}