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Solve the given problem:

Problem: A car of mass m moving at speed 25 m/s rear ends a truck of mass 2m moving in the same direction as the car, but a speed 16 m/s. the car is stuck to the truck, so they move off together with the same speed vf afterwards.

Part I: What is speed vf?

Part II: What amount of kinetic energy is lost in the collision if m=1400kg?

Please include each step and the equations and numbers you used. Thanks!

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