Mechanical engergy, energy conservation

[Gewitter_05]

Homework Statement

A 10-kg block is released from point A. The track is frictionless except from the portion between B and C which has a length of 3.0 meters. The block travels down the track, passes through BC and first collides with a small block (m=2kg), then they travel together and later hit the spring.

Q: Find the velocity of the block after it passes BC

There were two questions before it, find the velocity of the block when it reaches point B at the bottom of the track and it's 8.85m/s then I found the work between B and C which is -88.2 J. I tried setting up different equations to find the velocity after it passes B and C, but I am missing something.

Homework Equations

Wf=E2-E1
E2=E1
1/2mv^2, mgh, 1/2kx^2, mgx

The Attempt at a Solution

I tried setting the equation equal to the work, -88.2=1/2V^2(m+m), I recently tried -2μkgd=mv2^2-(mv1^2+2mgh1). I am not sure if I am supposed to have the second block in there or not.

 

[mfb]

For the velocity at point C, the second block does not matter - it is not a part of the motion yet.
You probably have the energy of the first block at point B as intermediate result. If it loses 88.2J, what is its energy at point C? This allows to calculate the velocity.