6
\includegraphics[max width=\textwidth, alt={}, center]{d3609757-50ae-4c68-8992-4304867a2d84-4_324_1267_794_440} A particle \(P\) of mass 0.35 kg is attached to the mid-point of a light elastic string of natural length 4 m . The ends of the string are attached to fixed points \(A\) and \(B\) which are 4.8 m apart at the same horizontal level. \(P\) hangs in equilibrium at a point 0.7 m vertically below the mid-point \(M\) of \(A B\) (see diagram).

1. Find the tension in the string and hence show that the modulus of elasticity of the string is 25 N .
   \(P\) is now held at rest at a point 1.8 m vertically below \(M\), and is then released.
2. Find the speed with which \(P\) passes through \(M\).