(Originais Teachy 2023) - Question Very Hard of Physics

A block of mass 2 kg is released from rest at the top of a ramp inclined at 30 degrees to the horizontal, which has a length of 4 meters. The surface is perfectly smooth, and the acceleration due to gravity is 10 m/s². The block then descends the ramp and encounters a spring at the end, which has a spring constant of 400 N/m. The block compresses the spring to its maximum compression. Considering that the mechanical energy of the system is conserved and that the height from the top of the ramp to the ground is negligible compared to the maximum height the block reaches after compressing the spring, determine: (1) The velocity of the block immediately before hitting the spring. (2) The maximum distance the spring is compressed. Disregard any dissipative effects and consider the ramp and the spring to be ideal, meaning there is no friction and Hooke's laws are valid.