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Determine the greatest distance of the particle from $O$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle with mass $0.3\,\text{kg}$ is fixed to one end of a light elastic string whose natural length is $0.6\,\text{m}$ and whose modulus of elasticity is $9\,\text{N}$. The other end of the string is secured at a fixed point $O$ on a smooth horizontal surface. The particle is launched horizontally from $O$ at speed $4\,\text{m s}^{-1}$.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Form an energy equation, for example $\dfrac{0.3\times 4^2}{2} = \dfrac{9e^2}{2\times 0.6}$, and note that the final velocity is zero” …
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