(i)[6]
Since $P$ is in equilibrium, find the values of $F$ and $\tan\theta$.
(ii)[3]
The force of magnitude $F\text{ N}$ is removed. Find the magnitude and direction of the acceleration with which $P$ starts to move.
Mathematics 9709 · AS & A Level · Newton's laws of motion
Newton's laws of motion — practice question
A particle $P$, with mass $0.5\text{ kg}$, is situated on a smooth horizontal plane. Forces with magnitudes $F\text{ N}$, $2.5\text{ N}$ and $2.6\text{ N}$ act horizontally on $P$. Their directions are as shown in the diagram, where $\tan\alpha = \frac{12}{5}$ and $\tan\beta = \frac{7}{24}$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By resolving the forces, obtains $F\cos\theta = 2.5 \times 24 \div 25 + 2.6 \times 5 \div 13$.” …
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