1. A doubly ionized particle of ¹⁷O (m = 2.822 x 10^-26 kg) moves at a speed of 5.680 x 10⁵ m/s through an 8.750 mT magnetic field, experiencing an acceleration of 4.370 x 10¹⁰ m/s².

(a) What is the magnitude of the centripetal force acting on the particle?

(b) What is the component of the velocity that moves the particle in a circular path?

(c) What is the angle that the velocity vector makes with the magnetic field vector?

(d) Does the particle move along the magnetic field? If so, at what speed?

(e) Elon Musk has decided that making solenoids would me much more lucrative than making electric cars, so that he wants to design and build a 1500-turn solenoid that runs on 2.750 A. What length does this solenoid need to produce the size magnetic field required for the ¹⁷O particle to move through?  

Please answer these questions:

1) A man stands on the edge of the roof of a 15.0-m tall building and throws a rock with a speed of 30.0 m/s at an angle of 33.3⁰ above the horizontal. Ignore air resistance. Calculate: the total time that the rock spends in the air?

2) A ball is thrown upward at an unknown angle with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground, and air resistance acting on the ball can be ignored. At what angle above the horizontal should the ball be thrown so that the runner catches it just before it hits the ground, and how far does the woman run before she catches the ball?

You are the manager of College Computers, a manufacturer of customized computers that meet the specifications required by the local university. Over 90 percent of your clientele consists of college students. College Computers is not the only firm that builds computers to meet this university’s specifications; indeed, it competes with many manufacturers online and through traditional retail outlets. To attract its large student clientele, College Computers runs a weekly ad in the student paper advertising its “free service after the sale” policy in an attempt to differentiate itself from the competition. The weekly demand for computers produced by College Computers is given by Q = 800 – 2P, and its weekly cost of producing computers is C(Q) = 1,200 + 2Q2. If other firms in the industry sell PCs at $300,

what price and quantity of computers should you produce to maximize your firm’s profits?

Price: $ _________________

Quantity: ________computers

You are the manager of College Computers, a manufacturer of customized computers that meet the specifications required by the local university. Over 90 percent of your clientele consists of college students. College Computers is not the only firm that builds computers to meet this university’s specifications; indeed, it competes with many manufacturers online and through traditional retail outlets. To attract its large student clientele, College Computers runs a weekly ad in the student paper advertising its “free service after the sale” policy in an attempt to differentiate itself from the competition. The weekly demand for computers produced by College Computers is given by Q = 800 – 2P, and its weekly cost of producing computers is C(Q) = 1,200 + 2Q2. If other firms in the industry sell PCs at $300, what price and quantity of computers should you produce to maximize your firm’s profits? Price: $ Quantity: computers

Mel O’Conner operates rental properties in Michigan. Each property has a manager who collects rent, arranges for repairs, and runs advertisements in the local newspaper. The property managers transfer cash to O’Conner monthly and prepare their own bank reconciliations. The manager in Lansing has been stealing from the company. To cover the theft, he overstates the amount of the outstanding checks on the monthly bank reconciliation. As a result, each monthly bank reconciliation appears to balance. However, the balance sheet reports more cash than O’Conner actually has in the bank. O’Conner is currently putting his entire business up for sale. In negotiating the sale of the business, O’Conner is showing the balance sheet to prospective buyers.

Requirements

1. Identify who, other than O’Conner, could be harmed by this theft. In what ways could they be harmed?
2. Discuss the role accounting plays in this situation.

Mount Snow operates a mountain ski resort. The company is planning its lift ticket pricing for the coming ski season. Investors would like to earn a 16% return on the company’s $109 375 000 of assets. The company primarily incurs fixed costs to groom the runs and operate the lifts. Mount Snow projects fixed costs to be $35 000 000 for the ski season. The resort serves about 700 000 skiers and snowboarders each season. Variable costs are about $12 per guest. Currently, the resort has such a favourable reputation among skiers and snowboarders that it has some control over the lift ticket prices.

Required

1. Would Mount Snow emphasise target pricing or cost-plus pricing. Why?
2. If other resorts in the area charge $83 per day, what price should Mount Snow charge?

You are the manager of College Computers, a manufacturer of customized computers that meet the specifications required by the local university. Over 90 percent of your clientele consists of college students. College Computers is not the only firm that builds computers to meet this university’s specifications; indeed, it competes with many manufacturers online and through traditional retail outlets. To attract its large student clientele, College Computers runs a weekly ad in the student paper advertising its “free service after the sale” policy in an attempt to differentiate itself from the competition. The weekly demand for computers produced by College Computers is given by Q = 800 – 2P, and its weekly cost of producing computers is C(Q) = 1,200 + 2Q².

If other firms in the industry sell PCs at $300, what price and quantity of computers should you produce to maximize your firm’s profits?

Price: $

Quantity:  

Which of following organisations is least likely to be exempt from income tax?

(a)      A croquet club established to promote the sport of croquet where no entertainment is provided to members.

(b)      A tennis club established to promote the sport of tennis where the club has poker machines on the premises to assist in funding the sporting activities of the members.

(c)      A swimming club originally established to promote swimming, but the club currently has extensive entertainment facilities available to the general public and earns substantial amounts from the entertainment activities.

(d)      A darts club originally established to promote darts where the club runs lotteries to assist in funding the sport of darts.

(e)      A trotting club originally established to promote horse racing and which currently receives income from the sale of the rights to televise the races. The funds received for the racing rights are used to improve track facilities.