Moderate -0.3 This is a standard M1 vector resolution question requiring resolution into components, Pythagoras, and inverse tangent to find magnitude and direction. While it involves multiple forces and bearing conversions, it follows a routine procedure taught explicitly in M1 with no conceptual challenges beyond careful arithmetic and angle work.
Forces of magnitude \(4\) N, \(5\) N and \(8\) N act on a particle in directions whose bearings are \(000°\), \(090°\) and \(210°\) respectively. Find the magnitude of the resultant force and the bearing of the direction in which it acts. [7 marks]
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Forces of magnitude $4$ N, $5$ N and $8$ N act on a particle in directions whose bearings are $000°$, $090°$ and $210°$ respectively. Find the magnitude of the resultant force and the bearing of the direction in which it acts. [7 marks]
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\hfill \mbox{\textit{Edexcel M1 Q2 [7]}}