A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 27 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic?
______m/s

If the ball is in contact with the player's head for 20 ms, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.)
________ m/s²

In the inside of a TV set an electron is accerlerated by a potential difference of 20 kV in an evacuated tube. It is then passed through an uniform magnetic field of 100 mT which deflects it to the desired position on the screen.

1) Draw a diagram showing the path of the electron as it passes from the electron source to the screen.

2) After passing through the accelerating potential, what is the kinetic energy of the electron in eV? In joules?

3) What is the speed of the electron just before it enters the magnetic deflecting field?

4) What will be the radius of curvature of its path in the field?

NFL-sponsored studies of the economic impact of the Super Bowl on host communities typically generate large numbers. They report the impact of the 1999 Super Bowl on the Miami area was $396 million. However, studies that compared January spending in six Super Bowl host cities to spending in those cities during a series of non Super Bowl years before and after the event found the net economic impact of a Super Bowl is virtually zero. EXPLAIN.

Further discuss how your answer may change for a Super Bowl in Seattle.

1. The long-run cost function for LeAnn's telecommunication firm is: C(q)=0.03q². A local telecommunication tax of $0.01 has been implemented for each unit LeAnn sells. This implies the marginal cost function becomes: MC(q,t)=0.06q+t
   1. If LeAnn can sell all the units she produces at the market price of $0.70, calculate LeAnn's optimal output before and after the tax.
   2. What effect did the tax have on LeAnn's output level?
   3. How did LeAnn's profits change?

You are graduating from college at the end of this semester and after reading the The Business of Life box in this​ chapter, you have decided to invest $5100 at the end of each year into a Roth IRA for the next 47 years. If you earn 9 percent compounded annually on your investment, how much will you have when you retire in 47 years? How much will you have if you wait 10 years before beginning to save and only make 37 payments into your retirement account?

This chapter looks at personal selling, the oldest form of marketing and one of the oldest professions.   One of the key points this week concerns the difference between "transaction-oriented" personal selling and "relationship-oriented" personal selling. One of the reasons this distinction has become so important is that consumers are using other information to do initial research into the product or service before engaging the seller. After studying this concept in the text, try to come up with an example of a company that has succeeded in migrating to this new form of personal selling. Explain your choice.

A project requires an initial investment of $100,000 and is expected to produce a cash inflow before tax of $27,200 per year for five years. Company A has substantial accumulated tax losses and is unlikely to pay taxes in the foreseeable future. Company B pays corporate taxes at a rate of 21% and can claim 100% bonus depreciation on the investment. Suppose the opportunity cost of capital is 10%. Ignore inflation. a. Calculate project NPV for each company. b. What is the IRR of the after-tax cash flows for each company?

Suppose that Ally Financial Inc. issued a bond with 10 years until​ maturity, a face value of $ 1,000​, and a coupon rate of 6 % ​(annual payments). The yield to maturity on this bond when it was issued was 5 %.

a. What was the price of this bond when it was​ issued? b. Assuming the yield to maturity remains​ constant, what is the price of the bond immediately before it makes its first coupon​ payment? c. Assuming the yield to maturity remains​ constant, what is the price of the bond immediately after it makes its first coupon​ payment?

You are graduating from college at the end of this semester and after reading the The Business of Life box in this​ chapter, you have decided to invest ​$5,600 at the end of each year into a Roth IRA for the next 41 years. If you earn 10 percent compounded annually on your​ investment, how much will you have when you retire in 41 ​years? How much will you have if you wait 10 years before beginning to save and only make 31 payments into your retirement​ account?