Large objects have inertia and tend to keep moving-Newton's firstlaw. Life is very different for small microorganisms that swimthrough water. For them, drag forces are so large that theyinstantly stop, without coasting, if they cease their swimmingmotion. To swim at constant speed, they must exert a constantpropulsion force by rotating corkscrew-like flagella or beatinghair-like cilia. The quadratic model of drag given by the equation,Ď= (CpAv², direction opposite the motion), fails for verysmall particles. Instead, a small object moving in a liquidexperiences a linear drag force, D = (bv, direction opposite themotion), where b is a constant. For a sphere of radius R, thedrag constant can be shown to be b = 6ŋR, where n is theviscosity of the liquid. Water at 20°C has viscosity1.0 × 10-³ N-s/m².Part AA paramecium is about 100 μm long. If it's modeled as a sphere, how much propulsion force must it exert to swim at a typical speed of 0.80 mm/s?Express your answer to two significant figures and include the appropriate units.► View Available Hint(s)F =SubmitPart BF =LOSubmitμÀValueHow about the propulsion force of a 2.0-μm-diameter E.coli bacterium swimming at 38 μm/s?Express your answer to two significant figures and include the appropriate units.► View Available Hint(s)μAUnitsValue?Units?The propulsion forces are very small, but so are the organisms. To judge whether the propulsion force is large or small relative to the organism, compute theacceleration that the propulsion force could give each organism if there were no drag. The density of both organisms is the same as that of water, 1000kg/m³.

Name: Large objects have inertia and tend to keep moving-Newton's firstlaw.
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Large objects have inertia and tend to keep moving-Newton's firstlaw. Life is very different for small microorganisms that swimthrough water. For them, drag forces are so large that theyinstantly stop, without coasting, if they cease their swimmingm