A horizontal slingshot consists of two light, identical springs (with spring constants of 90 N/m) and a light cup that holds a 1-kg stone. Each spring has an equilibrium length l0 = 46 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.6 m to the left of the vertical and then released.
(a) Determine the system's total mechanical energy.
(b) Determine the speed of the stone at x = 0.