(i)[2]
Show that the tension in the string has magnitude $16\,\text{N}$.
(ii)[3]
Determine the value of $v$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ with mass $0.3\,\text{kg}$ is joined to a fixed point $A$ by a light inextensible string of length $0.8\,\text{m}$. The fixed point $O$ lies $0.15\,\text{m}$ directly beneath $A$. Particle $P$ travels at constant speed $v\,\text{m s}^{-1}$ round a horizontal circle centred at $O$ (see diagram).
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Resolve vertically to give $T\cos\theta = T \times \frac{0.15}{0.8} = 0.3g$” …
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