At the equator, near the surface of the Earth, the magnetic field is approximately 50 ?? northward, and the electric field is about 100 N/C downward in fair weather. Find the magnitude and direction of gravitational, electric, and magnetic forces on an proton in this environment, assuming the proton has an instantaneous velocity of 5?106m/s directed to the west.

Derive the equations for a particle moving near the surface of the earth, given by

?̈= 2? cos ? ?̇

?̈= −2( cos ? ?̇ + ? sin ? ?̇)

?̈= −? + 2? sin ? ?̇

? = v/r; v=velocity; r-radius

where the earth’s rotational speed in the ?̂ direction is ?.

MARKETING!

Google is developing a self-driving car that will be in the marketplace in the near future. Identify a potential market segment and describe the value proposition that would meet the needs of this target customer group. What need is being fulfilled? What benefits are being sought?

A small village is located near a stream which is to be used as the source of water supply for

the community. The minimum flow in the stream is 550 m3/h. The population analysis

reveals that the population is expected to increase linearly from a population of 10,000 in

2008 to 30,000 in 2058.

The water consumption of the community is estimated to reach an annual average demand

of 300 L/capita/day, a maximum daily demand of 1.8 times the annual average and peak

hourly demand of 1.5 times the daily average.

Would you be able to supply these demands directly from the stream? If not, what would

you recommend?

a) In the year 2030

b) In the year 2058

There is a well near your house with a 20kg cylindrical spool (with a radius of 0.5m), wrapped with rope, upon which you attach a 5kg bucket. you let the bucket fall into the well from rest. 10s later, you can hear the bucket hit the water at the botttom. A) Determine the tension in the string B) what is the linear acceleration of the bucket? C) What is the angular acceleration of the spool? D)How much torque was required to make the spook spin at this acceleration? E)How far does the bucket ravel when it reaches the water? F)Through how many radians does the spool spin in this time? G)What is the final angular velocity of the spool? H) What is the final linear velocity of the spool?

What was the impact of the near failure of Bear Stearns and the failure of Lehman Brothers on Money Markets?

What actions did the Federal Reserve and the Treasury Department take? What were the impacts of the decisions if any?

4. In the near future, it will soon be possible for people to increase their muscle mass by introducing extra copies of the gene for insulin-like growth factor into their muscle cells.

a. What therapeutic applications can you see for such procedures? [2 marks]

b. It is possible that some people might use this procedure for cosmetic purposes—to gain muscle mass without exercise. Do you think that this would be acceptable, bearing in mind that humans already use cosmetics to change their appearance? [2 marks]

QUESTION 1

Mick, Mark and Mike are directors and shareholders of MMM Hotels Pty. Ltd. Mick, the founder of the company, owns 80% of the shares while Mark and Mike each own 10% of the shares in the company.

Mick is also a single director and shareholder of CAT Construction Pty Ltd.

Mick convinced the board of MMM Hotels that the company could improve its position by refurbishing and expanding one of its hotels. The expansion required Council approval and a loan of $2.5 million.

Mick sought quotes from other construction companies (which exceeded the quote from CAT Construction) and ensured the quote from CAT Construction is well below these other quotes.

At the Board meeting, Mick showed Mark and Mike various financial figures, prepared by Ned, the newly hired graduate accountant at MMM Hotels and said “Ned is confident the company would benefit financially if we go ahead with this”. None of the directors understood the financial figures and had not realised the company’s cash flow was low and that the loan could lead the company into insolvency. Mark and Mike were unaware that Mick was also a director and shareholder at CAT Construction.

At the Board meeting, Mick further represented that “Council approval for this expansion is not a problem – our competitors have done similar expansions and have managed to get Council approval in a month or so.”

Mark and Mike relied on Mick’s representations to the Board meeting, as they were excited about the refurbishment and the potential for profits to increase and hence their remuneration to rise accordingly.

Mick had assumed that Council approval would be easily granted and did not attempt to seek approval until after Mark and Mike had signed the contract with CAT Construction. In the meantime, CAT Construction has commenced work and collected an advance payment of $400,000 from MMM Hotels. Two months after the refurbishment commenced, the Council informed him that the approval was not granted. MMM Hotels was struggling to meet its loan repayments and has become insolvent.

Mark and Mike have now realised the true state of affairs and demand that Mick repay the $400,000 to MMM Hotels at the general meeting. Mick being a majority shareholder in the general meeting passes a resolution ratifying the contract with CAT Construction

Answer the following questions:

1. Advise Mick, Mark and Mike whether they have breached any of the directors’ duties under the Corporations Act 2001 (Cth). 2 marks

2. Advise what if any defences are available to Mick, Mark and Mike 2 marks

3. Advise Mark and Mike what member’s remedies are suitable for them in the circumstances where Mick being a majority shareholder in the general meeting passes a resolution ratifying the contract with CAT Construction 2 marks

As things transpired, the directors had no alternative but to place MMM Hotels into voluntary administration and it was subsequently placed into liquidation.

4. The liquidator now desires to commence an action against the directors alleging the directors for insolvent trading. Advise 2 marks

5. The liquidator also desires to recover the $400,000 payment to CAT Construction, a related entity to Mick, under Part 5.7B Div 2 of the Corporations Act. Advise

explain the strategies which were employed in the South near the turn of the 20th century in attempts to thwart the migration of African Americans to the north? - This is for a Political Economy of Racism course