A block of mass m = 2 kg goes down an inclined plane that makes an angle of 0=30 with the horizontal. The coefficient of friction between the surfaces of the block and the inclined plane is u=0.2. At the lower end of the inclined plane there is a spring with a recovery constant k = 100 N/m and negligible mass. We measure the distances on the inclined plane considering the equilibrium position of the spring as the origin. With this criterion, the initial distance between the block and the dock is L = 4 m. It is requested: a) Calculate the maximum compression experienced by the spring. b) Calculate the distance L' that the block reaches after the first impact between the block and the spring.