A particle $P$ with mass $0.4\,\text{kg}$ is connected to one end of a light elastic string whose natural length is $0.8\,\text{m}$ and modulus of elasticity is $32\,\text{N}$. The opposite end of the string is fixed at point $O$. The particle is released from rest at $O$.
(i)[4]
Calculate the distance $OP$ at the instant when $P$ first comes to instantaneous rest.
(ii)[3]
A horizontal plane is placed at a distance $1\,\text{m}$ below $O$. The particle $P$ is once more released from rest at $O$. Calculate the speed of $P$ immediately before it hits the plane.
(iii)[3]
In the collision with the plane, $P$ loses $96\%$ of its kinetic energy. Calculate the distance $OP$ at the instant when $P$ first comes to instantaneous rest above the plane, given that this occurs when the string is slack.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies PE/EE balance equation” …