| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Resultant of coplanar forces |
| Difficulty | Moderate -0.3 This is a straightforward M1 mechanics question on resolving forces. Part (i) requires resolving the 6.5N force and using the perpendicularity condition to find θ (standard trigonometry), while part (ii) involves simple Pythagoras or resolution. The question is slightly easier than average because it's a standard two-force resultant problem with clear geometric constraints and the answer to part (i) is given, requiring only verification. |
| Spec | 3.03a Force: vector nature and diagrams3.03p Resultant forces: using vectors |
\includegraphics{figure_2}
Forces of magnitudes $6.5$ N and $2.5$ N act at a point in the directions shown. The resultant of the two forces has magnitude $R$ N and acts at right angles to the force of magnitude $2.5$ N (see diagram).
\begin{enumerate}[label=(\roman*)]
\item Show that $\theta = 22.6°$, correct to 3 significant figures. [3]
\item Find the value of $R$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR M1 Q2 [6]}}