Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A light elastic string has one end fixed at point $O$. Its other end is connected to a particle $P$ with mass $0.4\,\text{kg}$. The string’s natural length is $0.6\,\text{m}$ and its modulus of elasticity is $24\,\text{N}$. The particle is let go from rest at $O$.
(main)[6]

Determine the two possible values of the distance $OP$ for which the particle’s speed is $1.5\,\text{m}\,\text{s}^{-1}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct elastic potential energy expression $\text{EPE} = \frac{24(x-0.6)^2}{2 \times 0.6}$

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