Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$, with mass $0.3\,\text{kg}$, is fastened to one end of a light inextensible string whose length is $0.6\,\text{m}$. The string’s other end is fixed at a point $O$ on a smooth horizontal plane. $P$ travels at constant speed $5\,\text{m s}^{-1}$ round a circle with centre $O$.
(main)[2]

Calculate the tension in the string.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies centripetal acceleration relation $a_c = \dfrac{v^2}{r}$ to obtain $T = 0.3 \times \dfrac{5^2}{0.6}$

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