(i)[4]
the speed of $P$ at the point where it is at the same horizontal level as $O$.
(ii)[3]
the speed of $P$ at the instant the string becomes slack.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
The diagram depicts a smooth narrow tube bent into a fixed vertical circle of radius $0.9\,\text{m}$ and centre $O$. One end of a light elastic string, whose modulus of elasticity is $8\,\text{N}$ and natural length is $1.2\,\text{m}$, is fixed to the highest point $A$ on the inside of the tube. The other end is attached to a particle $P$ of mass $0.2\,\text{kg}$. The particle is released from rest at the lowest point on the inside of the tube. Using energy, calculate