Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Particle $P$, with mass $0.3\,\text{kg}$, is moving round a circle centred at $O$ on a smooth horizontal surface. $P$ is linked to $O$ by a light elastic string whose modulus of elasticity is $12\,\text{N}$ and whose natural length is $l\,\text{m}$. The speed of $P$ is $4\,\text{m s}^{-1}$, and the circle it describes has radius $2l\,\text{m}$.
(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: State or use the relation $T = 12\,\text{N}$

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