OCR H240/03 2017 Specimen — Question 9 4 marks

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2017
SessionSpecimen
Marks4
TopicForces, equilibrium and resultants
TypeResultant of coplanar forces
DifficultyModerate -0.8 This is a straightforward vector resolution question requiring basic trigonometry (likely parallelogram/triangle of forces or component method). With only 4 marks total and standard M1 content, it's below average difficulty—more routine than the typical multi-step A-level question, but not trivial since it requires correct application of vector methods and angle calculation.
Spec3.03p Resultant forces: using vectors

Two forces, of magnitudes 2 N and 5 N, act on a particle in the directions shown in the diagram below. \includegraphics{figure_9}
  1. Calculate the magnitude of the resultant force on the particle. [3]
  2. Calculate the angle between this resultant force and the force of magnitude 5 N. [1]

Two forces, of magnitudes 2 N and 5 N, act on a particle in the directions shown in the diagram below.

\includegraphics{figure_9}

\begin{enumerate}[label=(\alph*)]
\item Calculate the magnitude of the resultant force on the particle. [3]

\item Calculate the angle between this resultant force and the force of magnitude 5 N. [1]
\end{enumerate}

\hfill \mbox{\textit{OCR H240/03 2017 Q9 [4]}}