During a TV report about ground water contamination, a reporter stands next to an old style well which works by lowering a bucket at the end of a rope into a deep hole in the ground to get water. At the top of the well, the rope is wound around a vertical pulley consisting of a heavy steel ring supported by light spokes. To demonstrate the depth of the well, the reporter completely wraps the light rope around the pulley, then releases it. The bucket, which starts at rest near the pulley, unwinds the rope from the pulley as it falls, taking 2.5 seconds to hit the bottom of the well. Although the depth of the well is never mentioned, you decide to calculate it. You estimate that the pulley has the same mass of the bucket and was very well-oiled, since you didn’t hear any squeaking. The moment of inertia of the pulley is one half of the product of its mass and the square of its radius. Detail process of each and every points can only get full credit.

A) Topic :

Elaborate the China-U.S. Trade War and the impact to China Business Environment as follows:

i) Briefly elaborate the trade practices and their effects which the current U.S. President, Donald J. Trump claims are unfair such as the growing trade deficit, the theft of intellectual property, and the forced transfer of American technology to China from 2010 to present.

ii) Analyze the outcomes of the China-U.S. Trade War and U.S.’s subsequent policies impacts to current China Business Environment in terms of Political, Economic, Social and Technological (PEST) aspects.

iii) In your opinion, how to deploy Porter’s Five Forces model to predict the Trade War impacts on the near future China Hi-Tech industries’ challenges and opportunities?

iv) If you are the CEO of a Hong Kong Hi-Tech Firm with extensive business cooperation with Chinese Hi-Tech partners, what strategies would you like to propose to the Board of Directors? And why?

Should the following be classified as held for sale or discontinued operations? Explain your rationale in detail.

a) Dark Ltd is committed to a plan to sell its staff quarters in Ho Man Tin and has engaged a property agent to locate a buyer. Dark Ltd’s employees will use the Ho Man Tin staff quarters until the completion of the new staff quarters in Kowloon Bay in six months’ time. The Ho Man Tin staff quarters can be transferred to the buyer when all employees move out.

b) Dark Ltd has been using two factories to manufacture traditional light bulbs. An increasing demand for LED lights has caused a significant drop in sales of the light bulbs. Dark Ltd has decided to move all the production facilities to one of the factories but keep the empty factory in the hope that the demand for traditional light bulbs may go back up in the near future

A horizontal power line (long straight wire) caries a current that varies sinusoidally with time at a rate of 60 Hz: I(t) = I₀sin(2πft), where I₀ = 55 kA is the amplitude of the current and f = 60 Hz. The wire is 7.0 m above ground. Farmer Joe, having learned some physics, knows that the alternating current in the wire produces an alternating magnetic field around it, and that if he were to place a coil of wire near the power line he could use the induced voltage to power some of his equipment. (a) Assuming the loop is placed directly underneath the power line, how should the loop be oriented to maximize the induced emf? (b) Assume the loop is rectangular with a height of 2.0 m and a width of 12 m. How many turns of wire will the loop need to generate the 170 V peak emf Joe’s equipment requires? [An integral will be required.] (c) Is this ethical?

During an earthquake, seismic energy is released and it can travel long distance from source (location of the earthquake) to a seismic station. Path taken by a wave is similar to a ray (line with an arrow) which travels through the earth and arrives at a station. In the last assignment, we look into a case where earthquake is right beneath the station. In this assignment, we are going to investigate a case in which the station is far away from the earthquake, as seen in the diagram below. The ray bends this way because wave speed is generally slower at shallow depth compared to deeper part. Questions 8.1: Why the ray path is bending to be nearly vertical when it approaches the station near the surface? (Hint: think about how horizontal rock layers are stacked on top of each other in terms of wave speed? Which layers have faster wave speed, which ones have slower wave speed? What is the consequence?)

Problem 7.1. Let f (x, y) = x4 − 3xy + 2y2.
(a) Compute the partial derivatives of f as well as its discriminant. Then use
solve to find the critical points and to classify each one as a local maximum,
local minimum, or saddle point.
(b) Check your answer to (a) by showing that fminsearch correctly locates
the same local minima when you start at (0.5, 0.5) or at (−0.5, 0.5).
(c) What happens when you apply fminsearch with a starting value of
(0, 0)? Explain your answer.
(d) What are the values of f at the extrema? Now, using fmesh, graph the function
on a rectangle that includes all the critical points. Experiment with view
and axis until you get a picture that shows the behavior near the critical points.
Use the graph and all the previous data to justify the assertion: Sometimes symbolic
and/or numerical computations are more revealing than graphical information.

1) Angie’s 10-year-old son has been seen by the physician for a sore throat. Dr. Good has determined that an antibiotic is not needed; however, he asks you to give Angie a sample of liquid Tylenol and to recommend a dose of 12.5 ml up to 4 times per day for pain. How can you clarify these instructions for Angie?

2) Michael has arrived for his second visit near the end of the day’s office hours. He does not have an appointment, but claims to be suffering from extreme back pain. On his last visit he was given a prescription for an opioid analgesic. He says that he is new to the area, his records from his previous physician have not arrived at your office, and when asked for contact information, he promises instead to contact the office himself when he gets home. How would you handle this situation

A shell-and-tube heat exchanger uses cooling water in the tubes. There are two pressure gages installed on the the water side to the heat exchanger. Gage 1 (P₁) is installed on the inlet water line, which is connected to the lower nozzle, while Gage (P₂) is installed on the discharge water line, which is connected to the upper nozzle. Both pressure gages are very near the nozzle flanges. The pressure drop from each pressure gage to the exchanger channel is 1 psi. The vertical distance between the two pressure gages is 4’-8”. The current pressure difference in tube-side pressure drop (P₁ – P₂) is 6 psi. If the number of tube passes were changed from 2 to 4 (with no appreciable change in the exchanger tube count), the water side pressure drop P₁ – P₂ (psi) would be most nearly:

a. 34                                                         c. 20

b. 28                                                         d. 12

When 0.0425 g of magnesium metal were allowed to react with excess hydrochloric acid, 45.80 mL of hydrogen gas were collected over water. The barometric pressure at the time was reported to be 29.78 in Hg. The temperature of the water near the mouth of the eudiometer was 25.1oC. The water level inside the tube was measured to be 25.24 cm higher than the water level in the beaker.

(g) What is the molar gas volume at STP as determined in this experiment to three significant figures?

(h)  What is the percent error in this calculation? Report your answer as a number with one significant figure with no % sign (i.e. 9.32% should be reported as 9.

(i) Calculate the experimental value for the universal gas constant R in units of L atm / mol K. Report your answer to three sig figs.

(j)What is the percent error in this calculation? Report your answer as a number with two significant figures with no % sign (i.e. 9.32% should be reported as 9.3).