5 A light elastic string has natural length 2 m and modulus of elasticity 1.5 N . One end of the string is attached to a fixed point \(O\) of a smooth plane which is inclined at \(30 ^ { \circ }\) to the horizontal. The other end of the string is attached to a particle \(P\) of mass \(0.075 \mathrm {~kg} . P\) is released from rest at \(O\). Find
- the distance of \(P\) from \(O\) when \(P\) is at its lowest point,
- the acceleration with which \(P\) starts to move up the plane immediately after it has reached its lowest point.