A bacterium is swimming in a viscous medium.• The bacterium is subject to gravity, a drag force, and a buoyant forceAssume the drag force that proportional to the object's speed, with a constant of propor-tionality a• The bacterium is a uniform sphere of radius r and density po• The surrounding fluid has density ofThe bacterium is capable of "swimming" by virtue of creating a constant force F, pointingtoward the direction it wants to move in.A) Determine an expression for the bacterium's velocity as a function of time if it is swimmingdownwards (i.e., in the same direction as gravity).3) Determine an expression for the bacterium's velocity as a function of time if it is swimmingupwards (i.e., directly against gravity).C) Assume the bacterium is naturally buoyant (i.e., po = pf). Compute the ratio of terminalvelocities between the swimming upwards and downward conditions

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Description: A bacterium is swimming in a viscous medium.• The bacterium is subject to gravity, a drag force, and a buoyant forceAssume the drag force that proportional to the object's speed, with a constant of propor-tionality a• The bacterium is a uniform sphe

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A bacterium is swimming in a viscous medium. • The bacterium is subject to gravity, a drag force, and a buoyant force • Assume the drag force that proportional to the object's speed, with a constant of propor- tionality a • The bacterium is a uniform sphere of radius r and density po • The surrounding fluid has density pf The bacterium is capable of "swimming" by virtue of creating a constant force F, pointing toward the direction it wants to move in. ) Determine an expression for the bacterium's velocity as a function of time if it is swimming ownwards (i.e., in the same direction as gravity). ) Determine an expression for the bacterium's velocity as a function of time if it is swimming pwards (i.e., directly against gravity). ) Assume the bacterium is naturally buoyant (i.e., po = pf). Compute the ratio of terminal elocities between the swimming upwards and downward conditions

A bacterium is swimming in a viscous medium. • The bacterium is subject to gravity, a drag force, and a buoyant force • Assume the drag force that proportional to the object's speed, with a constant of propor- tionality a • The bacterium is a uniform sphere of radius r and density po • The surrounding fluid has density pf The bacterium is capable of "swimming" by virtue of creating a constant force F, pointing toward the direction it wants to move in. ) Determine an expression for the bacterium's velocity as a function of time if it is swimming ownwards (i.e., in the same direction as gravity). ) Determine an expression for the bacterium's velocity as a function of time if it is swimming pwards (i.e., directly against gravity). ) Assume the bacterium is naturally buoyant (i.e., po = pf). Compute the ratio of terminal elocities between the swimming upwards and downward conditions

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)...

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