Kinetic energy dissipated during inelastic collsion

1. The problem statement, all variables and given/known data

Blocks A and B are moving toward each other. Block A has a mass of 2.0 kg and a velocity of 50 m/s, while B has a mass of 4.0 kg and a velocity of -25 m/s. They suffer a completely inelastic collision. The kinetic energy dissipated during the collision is:

2. Relevant equations

3. The attempt at a solution
So my professor has already worked out this problem, but I’m having trouble understanding why she picked the equations she did and how she manipulated them.


Plug in the numbers and you get V=0


Plug in and get -3750J

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