Answered: *84. When an object moves through a fl…

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

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 14.32P: A spherical vessel used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 104 kg....

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*84. When an object moves through a fl uid, the fl uid exerts a viscous force
F
B
on the object that tends to slow it down. For a small sphere of radius
R, moving slowly with a speed v, the magnitude of the viscous force is
given by Stokes’ law, F 5 6phRv, where h is the viscosity of the fl uid.
(a) What is the viscous force on a sphere of radius R 5 5.0 3 1024
m that is falling through water (h51.00 3 1023mPa ?s) when the sphere has a speed of 3.0 m/s? (b) The speed of the falling sphere increases until the viscous force balances the weight of the sphere. Thereafter, no net force acts on the sphere, and it falls with a constant speed called the “terminal speed.”If the sphere has a mass of 1.0 3 1025m kg, what is its terminal speed?

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