Tests were carried out on a three-phase 220 V, 50 Hz, 4-pole delta-connected induction motor. The following results were obtained from open circuit (no-load) and short circuit tests.

            Open Circuit (no-load) Test

            Short Circuit (locked rotor) Test

            A dc resistance test indicates that the stator resistance per phase is 1.165 W.

a)        Estimate the machine’s friction and windage loss and determine the parameters of the full equivalent circuit of the machine.

Using an appropriate form of the machine equivalent circuit:

b)         Calculate the losses in the machine and draw a power flow diagram which illustrates the flow of power through the machine when it runs on-load with a slip of 0.06

c)         Determine the starting torque, and also the torque when running with a slip of 0.06.

3a. If the molar absorptivity constant for the red dye solution is 5.56×104 M-1 cm-1 , calculate the molarity of the red dye solution with absorption = 0.900. You may assume L = 1.22cm. Hint: A=εLC

b. Convert the molarity in part a to w/v%. Show your work. Molar mass of FD&C red #3 = 879.86g/mol w/v% is defined as weight (in grams) of solute/100 mL of solution You should remember that w/v% always refers to the grams of materials in 100mL of solution. ppm is defined as mg of solute/ L of solution (1mg = 10-3 g) ppb is defined as µg of solute / L of solution (1µg = 10-6 g)

c. If you want to dilute the red dye solution in part a by 5 times in a single dilution step, explain in two sentences on how one should proceed with the dilution. In addition, what is the final concentration of the diluted solution? Show your work for the numerical part of this question. You are only allowed to use a 5-mL volumetric pipet, a 10-mL volumetric pipet, a 50-mL volumetric flask and/or a 100-mL volumetric flask during the dilution. You may NOT reuse the same pipet during the dilution.

Consider the following three projects:

The cost of capital of the firm is 10%.

Based on the IRR decision rule:

1. Should you invest in Project A?

Below are multiple choice for the IRR calculation

i) 16.55%

ii) 17.61%

iii) 18.31%

iv) 20.22%

v) Cannot calculate

Answer: I should/should not (choose one) invest in Project A.

2. Should you invest in Project B?

Below are multiple choice for the IRR calculation

i) 16.55%

ii) 17.61%

iii) 18.31%

iv) 20.22%

v) Cannot calculate

Answer: I should/should not (choose one) invest in Project B.

3. Should you invest in Project C?

Below are multiple choice for the IRR calculation

i) 16.55%

ii) 17.61%

iii) 18.31%

iv) 20.22%

v) Cannot calculate

Answer: I should/should not (circle one) invest in Project C.

4. Assume that we can only take one of the projects. Which one would we choose?

Answer: You would choose project ____________

An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B−V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star's temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.

B-V index   Distance (ly)
1.1   1380
0.4   556
1.0   771
0.5   304
1.4   532
1.0   751
0.5   267
0.8   229
0.5   552
0.2   896
1.5   1819
0.5   381
0.5   257
1.1   541
0.7   133
0.5   300
0.0   985
0.4   525
1.0   408
1.1   1367
1.07   2848
1.1   128.9
1.12   1766.2
0.64   186.5
0.87   8269.2
0.19   828.9
1.03   153
0.55   223.6
1.39   963.9
0.89   91.7

An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the color index, or B−V index, and distance (in light years) from Earth for 30 stars. The color index of a star is the difference in the light absorption measured from the star using two different light filters (a B and a V filter). This then allows the scientist to know the star's temperature and a negative value means a hot blue star. A light year is the distance light can travel in 1 year, which is approximately 5.9 trillion miles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.

B-V index   Distance (ly)
1.1   1380
0.4   556
1.0   771
0.5   304
1.4   532
1.0   751
0.5   267
0.8   229
0.5   552
0.2   896
1.5   1819
0.5   381
0.5   257
1.1   541
0.7   133
0.5   300
0.0   985
0.4   525
1.0   408
1.1   1367
1.07   2848
1.1   128.9
1.12   1766.2
0.64   186.5
0.87   8269.2
0.19   828.9
1.03   153
0.55   223.6
1.39   963.9
0.89   91.7

R=

Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small cart has mass m, and the mass of the larger cart is M = 5.29m. NOTE: Every velocity needs magnitude and direction (given by the sign).

a) Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity v = +4.88 m/s. - Find the velocity of the larger cart. V =

Assume now that the mass of the smaller cart is m = 8.91 kg. Assuming there is no loss of energy: find the energy stored in the spring before the explosion. Wk =

If the spring has spring constant k = 935 N/m: find x, the distance the spring was compressed before the "explosion".

b) Suppose the carts are initially moving together, with the spring compressed between them, at constant velocity vo = +9.39 m/s. After the "explosion", the smaller cart is moving at velocity v = +4.88 m/s. Find the velocity of the larger cart.

c) Suppose now that the small cart (mass m) is initially moving at velocity vo = +3.3 m/s. At what velocity would the large cart (mass 5.29m) have to be moving so, when they collide and stick together, they remain at rest?

If you can show the work/ provide explanation I would greatly appreciate it :) Thanks

Ironman steps from the top of a tall building. He falls freely from rest to the ground a distance of h. He falls a distance of h/ 4 in the last interval of time of 1.0 s of his fall.

Hint: First, compute the velocity when Ironman reaches the height equal to the distance fallen. This requires that you do the following: define origin as the bottom of the building. Then use x-x0 = -v0*(t-t0)-(1/2)g(t-t0)^2 where x=0 and x0= (distance fallen) and t-t0 is the time interval given. In this formulation, you are going to get magnitude of v0 since you already inserted the sign. You then insert v0 that you just calculated into the kinematic equation that involves v, g, and displacement (v^2-v0^2 = 2g(height-(distance fallen)), but now v (which is the final velocity is v0 from above) and v0 in this case is the velocity that the Ironman has when he begins to fall, which is 0. This gives a quadratic equation for height h, and you will need to use the binomial equation to solve for h. Choose the larger of the two solutions.

Part A

What is the height h of the building?

Express your answer using two significant figures.

To do a Case Analysis for the following (Background, Problem, Alternative course of action, Evaluating the alternatives, Recommendation, conclusion)

Shantou Real Lingerie Manufacturing Company (Shan- tou) is incorporated in China. Shantou manufactures and exports garments to the United States. Native Group International, Inc. (Native), is a corporation organized under the laws of New York engaged in the business of selling intimate wear to the wholesale and retail market. Between May and November 2013, Native placed dozens of orders with Shantou for lingerie. Following each order, Shantou issued a sales confirmation to Native, which referenced the cost, quantity, and type of goods ordered. These confirmations were signed by a representative of Native. Thereafter, Shantou manufactured the goods in accordance with the requested specifications. Between October 2013 and February 2014, Shantou delivered the goods specified in the confirmations to Native through five separate shipments. Shantou also included in each of the five shipments an invoice, indicating the total balance due, as well as the price, quantity, and type of products shipped. Native accepted each shipment, retained the goods delivered, and never claimed a set-off or credit. The total amount invoiced for the five shipments was $437,562.20. Native made payments totaling $165,522.80, leaving an unpaid balance of $272,040.40. The commu- nications between Shantou and Native were silent with respect to the governing law. Native claimed that there was no written contract between the parties when Shan- tou subsequently filed a lawsuit against Native for the unpaid balance. What law should govern the terms of the parties’ arrangement? Is a written agreement necessary in this case? What are the terms of the parties’ agreement if any? Shantou Real Lingerie Manufacturing Co. v. Native Group International, Ltd., 2016 WL 4532911

How would you do a horizontal analysis, vertical analysis and ratio analysis for IBM? Can someone an example of this? Can it be done for years 2016 and 2017?