CAIE M1 2008 November — Question 1

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2008
SessionNovember
TopicNewton's laws and connected particles

1
\includegraphics[max width=\textwidth, alt={}, center]{a4cb105b-55d2-4793-95d2-3d791990a1f6-2_341_929_269_609} Forces of magnitudes 10 N and 8 N act in directions as shown in the diagram.
  1. Write down in terms of \(\theta\) the component of the resultant of the two forces
    (a) parallel to the force of magnitude 10 N ,
    (b) perpendicular to the force of magnitude 10 N .
  2. The resultant of the two forces has magnitude 8 N . Show that \(\cos \theta = \frac { 5 } { 8 }\).