A small diamond of mass 13.3 g drops from a swimmer's earring and falls through the water, reaching a terminal velocity of 2.1 m/s.   (a) Assuming the frictional force on the diamond obeys f = −bv, what is b (in kg/s)? (Round your answer to at least four decimal places.)  kg/s   (b) How far (in m) does the diamond fall before it reaches 90 percent of its terminal speed?  m

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.15P: A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is...
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A small diamond of mass 13.3 g drops from a swimmer's earring and falls through the water, reaching a terminal velocity of 2.1 m/s.
 
(a) Assuming the frictional force on the diamond obeys f = −bv, what is b (in kg/s)? (Round your answer to at least four decimal places.)
 kg/s
 
(b)
How far (in m) does the diamond fall before it reaches 90 percent of its terminal speed?
 m
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