(a) Find the total kinetic energy of the two model-train cars of Problem 103 before they couple....

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(a) Find the total kinetic energy of the two model-train cars of Problem 103 before they couple.

(b) Find the initial velocities of the two cars relative to the center of mass of the system, and use them to calculate the initial kinetic energy of the system relative to the center of mass.

(c) Find the kinetic energy of the center of mass.

(d) Compare your answers for (b) and (c) with that for (a).

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