Two objects moving in the positive x direction have a perfectly inelastic collision. The first object has a mass of 12 kg and a velocity of 4 m/s. The second has a mass of 7 kg and a velocity of 1 m/s. (a) What is the velocity of the center of mass of the system? (b) What are the velocities of the masses in the center of mass frame? (I.e., imagine that you are moving with a velocity v cm. What are the velocities you observe for the two masses? (c) What is the velocity of the combined masses after the collision? (Hint: you shouldn't have to do much here.)
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