We are on the space station, so there is no effective gravity. In a small fluid experiment, a small spherical bacteria of 1 mm radius is moving at a speed of +1.50 mm/second horizontally in the fluid. The bacteria has a density of 1500. kg/m^3. (3a) Draw a free-body diagram, labeling all forces and show the likely direction of Fnet (3b) What is the mass of the bacteria? (3c) If the value of the viscosity is 1.25 kg/m/s, then what is the net acceleration experienced by the bacteria at that moment.

We are on the space station, so there is no effective gravity. In a small fluid experiment, a small spherical bacteria of 1 mm radius is moving at a speed of +1.50 mm/second horizontally in the fluid. The bacteria has a density of 1500. kg/m^3. (3a) Draw a free-body diagram, labeling all forces and show the likely direction of Fnet (3b) What is the mass of the bacteria? (3c) If the value of the viscosity is 1.25 kg/m/s, then what is the net acceleration experienced by the bacteria at that moment.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...

See similar textbooks

Similar questions

A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the dimensions of constants A and B for which the equation will be dimensionally homogeneous.
Problem 2: The capillary rise of a fluid along the walls of the tube causes the fluid to rise a distance h. This effect depends upon the diameter d of the tube, the surface tension o, the density p of the fluid, and the gravitational acceleration g. Show how to obtain the two Pi terms h/d and o/pd2g, where q = h and s (meaning h and s are the non-repeating parameters). If an experiment is performed using water at a temperature of 50°C, and the surface tension is s = 0.08 N/m, the following data is obtained of the height h versus the diameter d of the tube. Use the data and plot the relationship between the two Pi terms. Use the M-L-T System. d h (mm) d (mm) 60.12 30.06 20.04 14.84 12.02 10.02 0.5 NH 35555 1 1.5 2 2.5
A tidal barrage is in the shape of a quarter cylinder of radius r=16m, as shown in the picture above. If the barrage is 13m wide and holds back water of density 1014kg/m³ to its full height, what is the magnitude of the vertical force on the barrage? Assume that the atmospheric pressure is constant. Give your answer in Kilo Newtons to the nearest whole number. Use an acceleration due to gravity of g=9.81m/s²
Problem 2: The potential energy for a particular two-dimensional force field is given by V(x, y) = Axe-ky, where the constants A and k are chosen for dimensional consistency. (a) Choose specific (and reasonable) values for A and k, and use Mathematica, Desmos, or the equivalent to plot contours of constant potential energy for various energy levels, over a region of the plane centered on the origin. (b) Show that an infinitesimal displacement along an equipotential line has the form dr dr = dr x + ŷ. kx (c) Find the expression for the force field, and plot this vector field over the same region of the plane (and with the same choice of constants) as in part (a).
A semicircular plate with radius r= 2 is submerged in water as seen in the picture. Using the facts that the density of water is 1000 kg/m³ and acceleration due to gravity is 9.8 m/s², calculate the fluid force (in N) against the side of the plate. Make sure your answer is correct to three decimal places at least. Fluid force radius-r N
Use vectors to explain why it is difficult to hold a heavy stack of books perfectly still for a long period of time. As you become exhausted, what eventually happens? What does this mean in terms of the forces acting on the books?
IF the weight density of soup is 134 lb/ft^3, the volume of a pea totally submerged in the soup is 0.5 H3 in volume, what is the Buoyancy force of the soup on the pea? The weight density of the pea is 27 lb/H^3. Answer to the nearest 0.1 lb.
1. Find the mass and the center of mass of the cone below assuming constant density po 2. R Same cone geometry as above, but the density p(2) is known to be a linear function of 2, where z is the vertical coordinate measured upward from the base. If the density at z = 0 is Po, find the function p(2) if the center of mass is at z = h/3. Calculate the mass of this cone. [Hint: assume p(z) = po(1+kz/h), where k is an unknown constant to be determined.]
Global warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length, Ah (in mm), of a column of water 1.5 km high for a temperature increase of 1.2 °C.Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth. Properties of water: 3 = 210 x 10 /C. c= 4186 J/kg - °C, L; = 334 kJ/kg, Le = 2256 kJ/kg Enter you answer below (to the nearest mm): Ah (in mm) = Type your answer.
The belt moves at a steady velocity V and skims the top of oil tank. Assuming a linear velocity profile in the oil, what is the required belt-drive power P (watt) (P= power = force x Velocity) if the belt moves at 3.5 m/s over oil with specific gravity of S=1.7 and oil viscosity of 0.004 m2/s. Belt geometry L=2 m, b = 60 cm, and oil depth is h = 3 cm? L. Ot Moving belt, width b Oil, depth h
The sketch shows an oil manometer that is connected between two pipes which transport water. The density of water can be taken as 998kg/m3, the specific gravity of glycerol is 0.76 and atmospheric pressure is 100 kPa. The respective dimensions (as shown on the sketch) are given below: h1 = 0.17 m h2 = 350 mm h3 =15cm. From the given data, calculate the pressure difference between the two pipes.
A person is 1.65 m tall. a. Calculate the difference in blood pressure between the feet and top of the head of this person. To make sense of your answer, convert your answer to the unit of atm (101325 Pa = 1 atm). The density of blood is Pblood = 1.06 × 10³ kg/m³. b. Consider a cylindrical segment of a blood vessel 2.00 cm long and 1.50 mm in diameter. What additional outward force would such a vessel need to withstand in the person's feet compared to a similar vessel in her head? c. Justify how you solved for the area of the blood vessel.