Finding Kinetic Energy of a Collision

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Loppyfoot
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Homework Statement



A 900 kg car moving east at 31 m/s runs head-on into a 2800 kg truck moving west at 15 m/s. The vehicles stick together. Use the concept of the center-of-momentum frame to determine how much kinetic energy is lost.


Homework Equations



Kf= Ki(car) + Ki(truck)
K= P^2/(2m)

The Attempt at a Solution



Well I am having difficulty with this problem because I don't know which equations would be suitable for this problem.

Any ideas?
 
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How do you think you might go about converting things to the center of momentum frame?