(i)[2]
Demonstrate that the string’s extension is $0.2\,\text{m}$.
(ii)[3]
Calculate the speed with which $P$ is projected.
(iii)[2]
Calculate the speed of $P$ at the first moment after which the string becomes slack.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
An elastic string of negligible mass has natural length $0.8\,\text{m}$ and modulus of elasticity $16\,\text{N}$. One end is fixed at point $O$, while a particle $P$ of mass $0.4\,\text{kg}$ is attached to the opposite end. In equilibrium, $P$ hangs vertically beneath $O$.