What Is the Initial Speed of the Bullet in a Bullet-Block Collision Problem?

[Nyasha]

Homework Statement

A bullet of mass 0.0100kg moving horizontally strikes a block of M=5kg and becomes embedded. If the block bullet move a distance of 6 m on a rough horizontal table. The coefficient of kinetic friction is 0.300. What is the speed of the bullet before striking the block ?

Homework Equations

m1v1= ( M+m) V2 - fkd (1)

The Attempt at a Solution

I got two unknowns and one equation. I do not have V2 and v1 so l am stuck.

 

[Doc Al]

Homework Equations

m1v1= ( M+m) V2 - fkd (1)

This looks like some mix of momentum conservation and work. No good!

I got two unknowns and one equation. I do not have V2 and v1 so l am stuck.

Find two equations:
(1) Conservation of momentum for the collision.
(2) Energy/work applied after the collision.

Hint: Use equation 2 first.