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Question1
Viscoelasticity : A deformation of cross-linked polymeric microgel particle (Carbopol) is described by the Kelvin-Voigt model (a spring with elastic modulus E and dashpot with viscosity _ connected in parallel). The elastic response is produced by the polymer skeleton of the particle while the viscous one by the liquid contained in the network. The microgel particle in an AFM experiment is confined between two flat surfaces such that it makes a cylinder with diameter of 2 _m. Under constant load of 200 pN, it sags by 5% after 10 seconds while finally shrinking by 15 percent in height. Compute the elastic modulus E and equivalent viscosity _ of the Carbopol material. Determine the time the microgel would require to recover to 99 percent of its initial height after the stress is removed.
Question2
DLVO interactions: Consider a solution of lysozyme proteins in 1 mmol/L Salt buffer with the Debye length of ca. 10 nm. The charge on proteins at these conditions is 10e, the Hamaker constant H = 10kBT. The shape of the molecule can be approximated by a sphere with radius of 1.7 nm. What is potential barrier for the molecule aggregation? Will the solution be stable at these conditions? Will it be stable at 100 mmol/L salt concentration?
Consider the Earth and a cloud layer 900 m above the planet to be the plates of a parallel-plate capacitor. (a) If the cloud layer has an area of 1.0 km2 = 1000000 m2, what is the capacitance?
mass of the earth is 5.97x10^24 kg. the radius of its orbit around the sun is 1.50x10^11m. calculate the force between the earth and the sun
The membrane that surrounds a certain type of living cell has a surface area of 5.00 10-9 m2 and a thickness of 1 10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.
A 6V battery is connected in series with a 1.5V flashlight. what possible terminal voltages are available
One end of a metal rod, which is insulated from the environment, has a length of 0.30 m and cross-sectional area 2.00 x 10-5 m2, Calculate the thermal conductivity K of the material in the rod
A cylindrical bucket, open at the top, is 29.0cm high and 12.0cm in diameter. How High will the water in the bucket rise
A ball with a mass of .100 kg is on a spring that is 10.0 m above the ground with a spring constant of 543 N/m and has been compressed .125 m. Determine the initial kinetic energy of the ball
A body of mass M is initially at rest, Find the expression for the instantaneous power delivered to the body as a function of time
create destructive interference between the speakers. Friction provides the force required for a car to travel around a flat, circular race track.
A sample of an unknown material appears to weigh 290 N in air and 155 N when immersed in alcohol of specific gravity 0.700. What is the volume of the material
A block of mass 4.0 kg is put on top of a block of mass M = 5.5 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 16 N must be applied to the top block. The assembly of blocks is ..
Assuming a fica tax rate of 8% on the first 106,800 in wages, and a federal income tax rate of 20% on all wages, illustrate what would be an employee's net pay for the year if he earned 108,000?
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