Standard +0.3 This is a standard energy conservation problem with elastic strings requiring students to identify the slack point (natural length), apply conservation of energy between two positions, and solve for speed. While it involves multiple energy forms (gravitational PE, elastic PE, kinetic), the setup is straightforward with clearly defined positions and no geometric complications or proof elements.
1 A light elastic string has modulus of elasticity 5 N and natural length 1.5 m . One end of the string is attached to a fixed point \(O\) and a particle \(P\) of mass 0.1 kg is attached to the other end of the string. \(P\) is released from rest at the point 2.4 m vertically below \(O\). Calculate the speed of \(P\) at the instant the string first becomes slack.
1 A light elastic string has modulus of elasticity 5 N and natural length 1.5 m . One end of the string is attached to a fixed point $O$ and a particle $P$ of mass 0.1 kg is attached to the other end of the string. $P$ is released from rest at the point 2.4 m vertically below $O$. Calculate the speed of $P$ at the instant the string first becomes slack.
\hfill \mbox{\textit{CAIE M2 2014 Q1 [3]}}