Bullet colliding into block, sliding across surface with friciton

[crandall]

Homework Statement

A 125. gram bullet traveling at 300. m/s strikes and sticks into a stationary 5.00 kg block of wood. The combined bullet + wood initially slides on a horizontal frictionless surface until they encounter a second horizontal surface with a coefficient of kinetic friction between the plane and the bottom of the block of 0.250. How far along the second surface will the block and bullet slide before coming to rest?

Homework Equations

COLM, Kinematics

The Attempt at a Solution

So far I've determined the velocity of the block+bullet with colm.

m1v1+m2v2=(m1+v2)vf

to get the final velocity as 7.317.

I've determined the force of friction to be 12.5, however I'm stuck at this part, how do I determine how far the block is going to slide?

 

[collinsmark]

I've determined the force of friction to be 12.5, however I'm stuck at this part, how do I determine how far the block is going to slide?

What's the definition of "work"? (and if that doesn't lead you to the answer, you might want to look up the "work-energy-theorem." Your goal here is to find a relationship between work, force, and distance [and how that relates to kinetic energy in this case].)