Unfortunately, one person got infected by *V. vulnificus* after eating some oysters. We want to estimate how much power a bacteria needs in order to move inside a capillary.The Reynolds number in a capillary is about 0.001, which means that blood’s flow in a capillary is well approximated by Stokes flow model{{¹}}. In the following questions, assume that the bacteria is a sphere with an effective radius 0.55 μm (although the shape of *V. vulnificus* is more like a comma) moving at a speed of 200.0 μm/s relative to the blood flow{{²}}. For simplicity, the dynamical viscosity, μ, is set to 0.030 kg/m/s{{³}}. Give the result consistent with the significant digits in the data. That is, with two significant digits.(a) Find the drag force that the bacteria experiences in the capillary.(b) Find the power that the bacteria needs to produce in order to move at that speed with respect to the blood flow. Hint: remember that power can be written as \( P = Fv \).(c) Assuming that a mole of glucose can produce 380 kcal in the form of usable energy (ATP){{⁴}}, and that all that ATP is used for keeping the bacteria in motion, how many grams of glucose per second does the bacteria consume? Hint: find the conversion of 1 mole of glucose to gram and cal to Joule.

According to the question, the bacteria is assumed to be in the shape of a sphere of radius r = 0.55…

Unfortunately, one person got infected by V. vulnificus after eating some oysters. We want to estimate how much power a bacteria needs in order to move inside a capillary. The Reynolds number in a capillary is about 0.001, which means that blood's flow in a capillary is well approximated by Stokes flow model. In the following questions, assume that the bacteria is a sphere with an effective radius 0.55 μm (although the shape of V. vulnificus is more like a comma) moving at a speed of 200.0 μm/s relative to the blood flow. For simplicity, the dynamical viscosity, µ, is set to 0.030 kg/m/s3. Give the result consistent with the significant digits in the data. That is, with two significant digits. (a) Find the drag force that the bacteria experiences in the capillary. (b) Find the power that the bacteria needs to produce in order to move at that speed with respect to the blood flow. Hint: remember that power can be written as P = Fv. (c) Assuming that a mole of glucose can produce 380 kcal in the form of usable energy (ATP and that all that ATP is used for keeping the bacteria in motion, how many grams of glucose per second does the bacteria consume? Hint: find the conversion of 1 mole of glucose to gram and cal to Joule.

Unfortunately, one person got infected by V. vulnificus after eating some oysters. We want to estimate how much power a bacteria needs in order to move inside a capillary. The Reynolds number in a capillary is about 0.001, which means that blood's flow in a capillary is well approximated by Stokes flow model. In the following questions, assume that the bacteria is a sphere with an effective radius 0.55 μm (although the shape of V. vulnificus is more like a comma) moving at a speed of 200.0 μm/s relative to the blood flow. For simplicity, the dynamical viscosity, µ, is set to 0.030 kg/m/s3. Give the result consistent with the significant digits in the data. That is, with two significant digits. (a) Find the drag force that the bacteria experiences in the capillary. (b) Find the power that the bacteria needs to produce in order to move at that speed with respect to the blood flow. Hint: remember that power can be written as P = Fv. (c) Assuming that a mole of glucose can produce 380 kcal in the form of usable energy (ATP and that all that ATP is used for keeping the bacteria in motion, how many grams of glucose per second does the bacteria consume? Hint: find the conversion of 1 mole of glucose to gram and cal to Joule.

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