Ballistic Block on a Rough Table

A block of soft wood with a mass $M = 1$ kg sits at rest on a rough table with a coefficient of kinetic friction $\mu_k = 0.5$. A bullet of mass $m = 10$ grams and travelling at 50 m/sec hits the block and becomes embedded. Find:

a) The distance the block will slide before coming to rest.

b) Is the kinetic energy of the bullet+block system conserved during the collision (that is, before the block begins to slide)? If not, what is the kinetic energy gained or lost by the system.