(i)[2]
Show that the mass of $P$ equals $1.8\,\text{kg}$.
(ii)[3]
The particle is drawn vertically downwards and let go from rest at the point where $OP = 1.2\,\text{m}$. Find the speed of $P$ at the instant the string first goes slack.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light elastic string has natural length $0.5\,\text{m}$ and modulus of elasticity $30\,\text{N}$. One end is fixed at point $O$. The other end is attached to a particle $P$, which hangs in equilibrium vertically beneath $O$, with $OP = 0.8\,\text{m}$.