Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.3\,\text{kg}$ travels round a circle centred at $O$ on a smooth horizontal surface. $P$ is connected to $O$ by a light elastic string of modulus of elasticity $12\,\text{N}$ and natural length $l\,\text{m}$. The particle moves at $4\,\text{m s}^{-1}$, and the radius of its circular path is $2l\,\text{m}$.
(main)[4]

Calculate the value of $l$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: States that $T = 12\,\text{N}$.

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