Moderate -0.3 This is a straightforward mechanics question requiring vector addition (F+G), division by mass (Newton's second law), then magnitude and direction calculations using Pythagoras and arctangent. All steps are routine A-level mechanics techniques with no conceptual challenges, making it slightly easier than average but the 7 marks reflect multiple computational steps.
Two forces \(\mathbf{F}\) and \(\mathbf{G}\) acting on an object are such that
$$\mathbf{F} = \mathbf{i} - 8\mathbf{j},$$
$$\mathbf{G} = 3\mathbf{i} + 11\mathbf{j}.$$
The object has a mass of 3 kg. Calculate the magnitude and direction of the acceleration of the object. [7]
Two forces $\mathbf{F}$ and $\mathbf{G}$ acting on an object are such that
$$\mathbf{F} = \mathbf{i} - 8\mathbf{j},$$
$$\mathbf{G} = 3\mathbf{i} + 11\mathbf{j}.$$
The object has a mass of 3 kg. Calculate the magnitude and direction of the acceleration of the object. [7]
\hfill \mbox{\textit{WJEC Unit 2 Q10 [7]}}