On Earth, a person can jump vertically and rise to a height h.  What is the radius of the largest spherical asteroid from which this person could escape by jumping straight upward? Assume that each cubic meter of the asteroid has a mass of 3600 kg 3100  km1/2⋅√(h) 3100  m1/2⋅√(h) 3100  km1/2⋅h 3100  (1/m)⋅h

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
Section10.3: Center Of Mass Revisited
Problem 10.2CE
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On Earth, a person can jump vertically and rise to a height h. 

  1. What is the radius of the largest spherical asteroid from which this person could escape by jumping straight upward? Assume that each cubic meter of the asteroid has a mass of 3600 kg
    1. 3100  km1/2⋅√(h)
    2. 3100  m1/2⋅√(h)
    3. 3100  km1/2⋅h
    4. 3100  (1/m)⋅h
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