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Calculate the speed of $P$ at the instant when the string first goes slack.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light elastic string has modulus of elasticity $5\,\text{N}$ and natural length $1.5\,\text{m}$. One end of the string is fixed at point $O$, and a particle $P$ of mass $0.1\,\text{kg}$ is fastened to the other end. $P$ is released from rest at a point $2.4\,\text{m}$ vertically below $O$.
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This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply conservation of energy by setting the loss of potential energy equal to the gain in kinetic energy, e.g. $EE = \frac{1}{2}mv^2$ and $5(2.4-1.5)2$” …
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