A block of mass M = 3 kg is dropped from rest at point A, located at a height H = 3 m, as shown in the figure. The track is smooth and with negligible friction, except between points B and C separated by a distance d = 1.5 m. The coefficient of friction between the block and the floor in that area is 0.6. After passing through the friction zone, the block compresses a spring with elastic constant k =2500 N/m. It is requested:

a) The speed of the block when it passes through point C for the first time.

b) The maximum compression of the spring after the block passes through the friction zone for the first time.

c) The distance with respect to point A where the block stops permanently