When an object moves through a fluid, the fluid exerts a viscous force F 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 = 6aŋRv, where n is the viscosity of the fluid. (a)What is the viscous force on a sphere of radius R = 5.0 x 104 m that is falling through water (n = 1.00 x 10-3 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 x 10-5 kg, what is its terminal speed?

When an object moves through a fluid, the fluid exerts a viscous force F 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 = 6aŋRv, where n is the viscosity of the fluid. (a)What is the viscous force on a sphere of radius R = 5.0 x 104 m that is falling through water (n = 1.00 x 10-3 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 x 10-5 kg, what is its terminal speed?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Problem 1: Suppose you have a coffee mug with a circular cross section and vertical sides. What is its inside radius if it holds 375 g of coffee when filled to a depth of 7.5 cm? Assume coffee has the same density as water, 10³ kg/m³.
Please asap
A manometer containing water with one end connected to a container of gas has a column height difference of h = 0.27 m (see figure below). If the atmospheric pressure on the right column is 1.01 ✕ 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 ✕ 103 kg/m3. Pa
The density of a composite is 1.7 g/cm3. The density of an unknown fluid is 2.2 g/cm3. An object made of the composite will _____ in the unknown fluid.
A large block has dimensions of length = 0.15 m, width = 0.2 m, and depth = 0.5 m. It has a mass of 117 kg. The volume of a block, Vblock = (length) x (width) x (depth). (a) Using the table shown, what is the block made of? (b) If completely under water, what is the buoyant force acting on the block?
A block of wood with a mass of 0.57 kg is floating on the surface of a lake. What is the magnitude of the buoyant force acting on the block?
A manometer containing water with one end connected to a container of gas has a column height difference of h = 0.31 m (see figure below). If the atmospheric pressure on the right column is 1.01 ✕ 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 ✕ 103 kg/m3. Pa