Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob, mass 45 kg, is gliding to the right at 8.03 m/s, and Ethan, mass 31.0 kg, is gliding to the left at 10.9 m/s along the same line. When they meet, they grab each other and hang on. (b) What fraction of their original kinetic energy is still mechanical energy after their collision? ________%   (c) That was so much fun that the boys repeat the collision with the same original velocities, this time moving along parallel lines 1.01 m apart. At closest approach, they lock arms and start rotating about their common center of mass. Model the boys as particles and their arms as a cord that does not stretch. Find the velocity of their center of mass. magnitude_________ m/s direction __________

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