An ice cube of dimensions 1.00 cm x 1.00 cm x 1.00 cm floats on water. The densities of ice -3 and water are pice = 0.917 g cm- and water = 1.00 g cm respectively. Assume constant accel- eration due to gravity g = 9.81 m s-. (a) (6 marks) Find the depth d of the ice cube sub- merged in water at equilibrium. (b) (14 marks) The ice cube is perturbed verti- cally. Denote by y the vertical displacement of the ice cube from the equilibrium position. Assume |y|