When an object moves through a fl uid, the fl uid exerts a
Chapter , Problem 84(choose chapter or problem)
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 1023 Pa ?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 1025 kg, what is its terminal speed?
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