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## Homework Statement

## Homework Equations

m

_{1}v

_{1i}+m

_{2}v

_{2i}=m

_{1}v

_{1f}+m

_{2}v

_{2f}

## The Attempt at a Solution

I tried doing MV=m

_{1}v

_{1f}+m

_{2}v

_{2f}

I know that the sum of the momentum of the two parts is equal to the the momentum of the the full shell. Since I have two unknowns, I used the conservation of energy. I set used KE=KE

_{1}+KE

_{2}. The kinetic of the full shell equals to the sum of the kinetic energy of the two parts. Since I have two unknowns here too, I used a system of equations solve for v. Am I on the right path? I found two "ms" didn't add up to 5kg. Thank you in advance.