A block of mass 0.50kg is attached to a horizontal ideal spring of force constant 200Nm−1 on a frictionless table. The block is pulled to the right so that the spring is stretched by 0.20m and is then released from rest.
(i) Calculate the speed of the block when the extension of the spring reduces to 0.10m.
(ii) Determine the maximum speed attained by the block during its subsequent motion and specify the position of the block relative to the spring’s natural length when this occurs.
(iii) Find the kinetic energy of the block as it passes through the equilibrium (unstretched) position of the spring.