Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 58.5 kg and 66.5 kg. A few seconds later, the first sprinter is ahead of the second by a distance 5.1 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? If the speeds of the sprinters are 4.9 m/s and 2.2 m/s, respectively, how fast, in meters per second, is the center of mass moving? What is the momentum of the center of mass, in kilogram meters per second? How is the momentum of the center of mass related to the total momentum of the sprinters?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 18PQ: Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each...
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Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 58.5 kg and 66.5 kg. A few seconds later, the first sprinter is ahead of the second by a distance 5.1 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? If the speeds of the sprinters are 4.9 m/s and 2.2 m/s, respectively, how fast, in meters per second, is the center of mass moving? What is the momentum of the center of mass, in kilogram meters per second? How is the momentum of the center of mass related to the total momentum of the sprinters? 

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