(i)[2]
Show that the string extends by $0.2\text{ m}$.
(ii)[3]
Calculate the speed with which $P$ is projected.
(iii)[2]
Find the speed of $P$ at the first instant the string later becomes slack.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light elastic string, with natural length $0.8\text{ m}$ and modulus of elasticity $16\text{ N}$, is fixed at one end to the point $O$. A particle $P$ of mass $0.4\text{ kg}$ is attached to the free end, and it hangs in equilibrium directly beneath $O$.