Fluid Mechanics Friction Problem: Write one MATLAB m-file that solves the Type I and II problems presented in class based on the file posted for the Type III problem (use Colebrook to estimate f). Type I: Solve hL for v=0.74x10-5ft^2/s, D=3 in, L=1000 ft, e=0.006 in, and Re=80000. f=0.0258 from Moody Chart. Type II: Solve Q for v=10^-6 m^2/s, D=0.2 m, L=500 m, e=0.046 mm, and hL=30m. Use “rough” Colebrook to generate an estimate for f.

In the following videos, there is a rotating wheel hung from one side to a rope, which exerts a torque on the system by gravity. Any rotational system has an angular momentum, so using the angular momentum concept and the relationship between angular momentum and moment, answer the following questions in one or two sentences (not half of a page):
1) https://www.youtube.com/watch?v=NeXIV-wMVUk
2) https://www.youtube.com/watch?v=ty9QSiVC2g0&t=2s

Questions: 1. Why is this system in balance? (support your short answer with equations and diagrams)
Question 2. Why does the rotating wheel turn around the rope? (support your short answer with equations and diagrams)

Consider a cell based on the following line notation at 298 K:

Cu | Cu²⁺ (0.237 M) || Ni²⁺ (1.29 M) | Ni

Given:

Cu²⁺ + 2 e^- → Cu     E^o = 0.34 V
Ni²⁺ + 2 e^- → Ni     E^o = -0.23 V

How many of the following responses are true?

1. Decreasing the concentration of the Cu²⁺ will increase the concentration of the reaction
2. Using a Pt electrode in place of the Cu electrode will not change the potential of the cell
3. Oxidation takes place at the anode
4. Adding equal amounts of water to both half reactions will decrease the potential of the cell
5. Increasing the concentration of the Ni²⁺ will increase the potential of the cell

In guinea pigs, white coat (w) is recessive to black coat (W) and wavy hair (v) is recessive to straight hair (V). A breeder crosses a guinea pig that is homozygous for white coat and wavy hair with a guinea pig that is black with straight hair. The F1 are then crossed with guinea pigs having white coats and wavy hair in a series of testcrosses. The following progeny are produced from these testcrosses:

black, straight 30

black, wavy 10

white, straight 12

white, wavy 32

Total 83

a. Are these genes that determine coat color and hair type assorting independently, and Why or why not? b. What is the recombination frequency between them?

Question 2. Let the market for Wizzas be characterized by the following information:

Q = 70 – 5P [Demand]

Q = 3P – 10 [Supply]

where P is price per serving (Q) of Wizza.

Suppose the government imposes a sales tax of $2 per serving of Wizza. Answer questions (i) through (v) below: i) Calculate the magnitude of the consumer surplus and producer surplus in the pre- tax equilibrium.

ii) Calculate the tax revenue in the post-tax equilibrium.

iii) Calculate the change in consumer surplus due to the sales tax.

iv) Calculate the change in producer surplus due to the sales tax.

v) Calculate the deadweight loss due to the sales tax.

1.

a. The compound X₃Y is 35.0% X. What is the molar mass of Y if the molar mass of X is 62.4 g/mol?

b. What is the atomic mass of element X if 9.94 g XCl₃ contains 3.26 g X?

c. A 2.953-g sample of an oxide of V contains 1.654 g V. What is the empirical formula of the oxide?

d. What is the empirical formula of a hydrocarbon if complete combustion or 6.900 mg of the hydrocarbon produced 22.738 mg of CO₂ and 6.205 mg of H₂O? Be sure to write C first in the formula.

empirical formula =

What is the molecular formula if the molar mass of the hydrocarbon is found to be about 120

molecular formula =

1) Assume the following is the Budget Equation for a consumer:

19 Tequila + 30 Vodka = 6,931

What would be the intercept of the budget line on the Tequila axis?

2) Jonny only consumes beer and weed. A beer is $6 and an ounce of weed is $5. Jonny's budget is $2,807 a month. If you the expression of his budget line equation is  Weed = H + V Beer, what would be the value of V? (hint: be careful with the signs)

3) A consumer spends his income between pizza and beer. The intercept of the budget line on the pizza axis is 636, the intercept of the budget line on the beer axis is 646 and the price beer is 53. What is the consumer's income?

Given the following stocks or chemicals in your stock room:

1) 3 L of 100 mM Tris-HCl pH 8.0
2) 100 mL of 0.5 M EDTA
3) 1 kg of NaCl (MW = 58.443g/mol)

4) 400 ml of 100% Ficoll 400

5) 100 g of Bromophenol Blue (MW= 669.96 g/mol)

Make the following solutions:
1) 20 ml of   6X Gel Loading Dye [5 % (v/v) Ficoll 400; 10 mM EDTA; 4 mM Tris-HCl pH 8.0; 10 mM NaCl; 15 mg/ml Bromophenol Blue]

A very large conducting plate (grounded) covers the yz plane. An infinitely long wire with constant linear charge density λ is placed at a distance d from the plate. You can assume that the wire is at position (x, y) = (0, d) and extends along the z direction.

a) Draw the location of the image charge that gives V = 0 on the conducting plate. Indicate value(s) and position(s) of the image charge(s).

b) Determine V (x, y) where the point (x, y) is an arbitrary position (with x > 0 that is not on the line charge.

c) Determine the surface charge density at point (x, y) = (0, 0)