What is the speed of the block after a bullet embeds itself in it?

[fk378]

Homework Statement

A bullet of mass m traveling horizontally at a very high speed v embeds itself in a block of mass M that is sitting at rest on a nearly frictionless surface. What is the speed of the block after the bullet embeds itself in the block?

Homework Equations

momentum=(mass)(velocity)

The Attempt at a Solution

momentum (p) of the bullet = mv.
But I don't know how to figure out the speed of the block..since momentum is conserved, would it just be v=p/m?

 

[Doc Al]

Momentum is conserved. What would be the momentum of the "block+bullet" after the collision? (Write it mathematically.)