Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

One end of a light elastic string with natural length $0.7\,\text{m}$ is fixed at point $A$ on a smooth horizontal surface. The other end is fastened to a particle $P$ of mass $0.3\,\text{kg}$, which is initially held at point $B$ on the horizontal surface, where $AB = 1.2\,\text{m}$. It is given that $P$ is released from rest at $B$ and that when $AP = 0.9\,\text{m}$, the particle has speed $4\,\text{m s}^{-1}$.
(main)[3]

Calculate the modulus of elasticity for the string.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct elastic energy expression, for example $EE = \dfrac{\lambda \times 0.5^2}{2 \times 0.7}$ or $EE = \dfrac{\lambda \times 0.2^2}{2 \times 0.7}$

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