Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 56 kg and 65.9 kg. a)A few seconds later, the first sprinter is ahead of the second by a distance 5.5 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters?  b) If the speeds of the sprinters are 4.5 m/s and 3.4 m/s, respectively, how fast, in meters per second, is the center of mass moving?  c) What is the momentum of the center of mass, in kilogram meters per second?  d) How is the momentum of the center of mass related to the total momentum of the sprinters?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 2.45P: In Chapter 9, we will define the center of mass of an object and prove that its motion is described...
icon
Related questions
Topic Video
Question

Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 56 kg and 65.9 kg.

a)A few seconds later, the first sprinter is ahead of the second by a distance 5.5 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? 

b) If the speeds of the sprinters are 4.5 m/s and 3.4 m/s, respectively, how fast, in meters per second, is the center of mass moving? 

c) What is the momentum of the center of mass, in kilogram meters per second? 

d) How is the momentum of the center of mass related to the total momentum of the sprinters? 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 4 images

Blurred answer
Knowledge Booster
Momentum
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning