A car with inertia 1500kg is driving down a one-way street at 15 m. An unobservant s

driver of a 2000kg pickup truck is driving the wrong way down the street at −10 ms , and runs head on into the car. (Assuming the system consists of the car and the truck only)

a) What is the velocity of the car after the collision if the velocity of the truck is 5 ms ?

b) What is the coefficient of restitution for this collision? What type of collision is this?

c) What is the velocity of center of mass of the system?

d) Find the center-of-mass kinetic energy for the system.

e) What is convertible kinetic energy of the system before the collision?

6. f) What is the minimum amount of energy required to conserve the momentum of the system?

7. g) What is the total kinetic energy of the system before the collision?

8. h) What is the total kinetic energy of the system after the collision?

i) What is the change in kinetic energy of the system due to this collision? Since energy cannot be destroyed, explain what happens to this energy.

A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.2 m/s² for 4.4 seconds. It then continues at a constant speed for 11.8 seconds, before getting tired and slowing down with constant acceleration coming to rest 81 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop.

1)

How fast is the hare going 3.1 seconds after it starts?   See solution

2)

How fast is the hare going 12.5 seconds after it starts?
See solution

3)

How far does the hare travel before it begins to slow down?

m

4)

What is the acceleration of the hare once it begins to slow down?

m/s²

5)

What is the total time the hare is moving?

s

6)

What is the acceleration of the tortoise?

m/s²

In 2004 the Pandora made a rights issue at $5 a share of one new share for every four shares held. Before the issue there were 100 million shares outstanding and the share price was $6. For questions (a) to (c) assume that all rights were exercised.

(a) What was the total amount of new money raised?

(b) What was the value of the right to buy one new share?

(c) What was the prospective stock price after the issue?

(d) How far could the stock price after the issue fall before shareholders would be unwilling to take up their rights?

(e) Suppose that the rights issue is at $4 rather than $5 per share. How many new shares would it have needed to sell to raise the same sum of money? How do your answers to (b) and (d) change? Are the shareholders any better or worse off with the $4 exercise price?

Use the following data set – Pain Relief Study - to answer this series of questions.

Patients in a drug trial rate their pain before treatment and after treatment. Higher scores equate to higher levels of reported pain with a maximum possible score of 100.

11.1 Calculate MD for the Pain Relief Study

11.2 Calculate the t-value (tobtained) for the Pain Relief Study (SHOW WORK) 1

1.3 Calculate the 95% CI for the Pain Relief Study.

11.4 What is one problem you might encounter if you use a within-subjects design compared to a between-subjects design? Explain what the problem is, explain why it is a problem, and give an example.

What is a risk of an operating lease when compared to a finance lease?
- Higher administration costs
- No depreciation can be claimed
- Must provide maintenance
- Must provide insurance

A company is evaluating methods of raising capital to fund a massive new IT infrastructure
project.
Which financing strategy includes costs that could be deducted on the company’s corporate
tax return?

- Authorizing new shares of common stock
- Issuing corporate bonds
- Issuing a new series of preferred stock
- Reinvesting company profits

How does a company’s marginal tax rate affect the interest rate of debt?
- It raises the after-tax interest rate.
- It lowers the before-tax interest rate.
- It lowers the after-tax interest rate.
- It raises the before-tax interest rate

What is an advantage of combining outsourcing of inventory with a just-in-time inventory
system?

- Reduces inventory levels
- Easier to predict demand
- Easier to adjust reorder amount
- More Efficient use of redline method

Q3. A study tested whether working Sudoku puzzles daily improved memory function in older adults. Memory tests were performed before the study began, at 4 and 8 weeks. Using the information in the table below answering the following questions.

1. State the null and alternate hypotheses.
2. What is the total sample size?
3. Identify the independent and dependent variables
4. What is the test statistic value?
5. What is the p value?
6. What is your conclusion (assume α = .05)?
7. What is the effect size?

Which of the following are suitable null hypotheses. If not, explain why.

a. Comparing two groups

Consider comparing the average blood pressure of a group of subjects, both before and after they are placed on a low salt diet. In this case, the null hypothesis is that a low salt diet does reduce blood pressure, i.e., that the average blood pressure of the subjects is the same before and after the change in diet.

b. Classification.

Assume there are two classes, labeled + and -, where we are most interested in the positive class, e.g., the presence of a disease. H₀ is the statement that the class of an object is negative, i.e., that the patient does not have the disease.

c. Association Analysis

For frequent patterns, the null hypothesis is that the items are independent and thus, any pattern that we detect is spurious.

d. Clustering

The null hypothesis is that there is cluster structure in the data beyond what might occur at random.

e. Anomaly Detection

Our assumption, H₀, is that an object is not anomalous.

Lear Inc. has $870,000 in current assets, $385,000 of which are considered permanent current assets. In addition, the firm has $670,000 invested in fixed assets.    
  
a. Lear wishes to finance all fixed assets and half of its permanent current assets with long-term financing costing 8 percent. The balance will be financed with short-term financing, which currently costs 6 percent. Lear’s earnings before interest and taxes are $270,000. Determine Lear’s earnings after taxes under this financing plan. The tax rate is 40 percent.
  

     

b. As an alternative, Lear might wish to finance all fixed assets and permanent current assets plus half of its temporary current assets with long-term financing and the balance with short-term financing. The same interest rates apply as in part a. Earnings before interest and taxes will be $270,000. What will be Lear’s earnings after taxes? The tax rate is 40 percent.
  

Dana intends to invest $66,000 in either a treasury bond or a corporate bond. The Treasury Bond yields 5 percent before tax and the corporate bond yields 6 percent before tax.

A) Assuming dana's federal marginal rate is 24 percent and her marginal state rate is 5 percent, which of the two options should she choose? Assume the Dana itemizes deductions

Corporate bonds

Treasury Bonds

A2) How much interest after-tax would Dana earn by investing in the corporate bond?

B) if she were to move to another state were her marginal state rate would be 10 percent, which of the two options should she choose? Assume that Dana itemizes deductions

Corporate Bonds

Treasury Bond

B2) how much interest after-tax would Dana earn by investing in the corporate bond as per requirement B)?

1. There is nothing like the smell of BBQ in the summertime. Many people use propane gas Barbeques to cook the perfect steak. Here is the reaction that is occurring while the steak sizzles on the grill:

C₃­H₈(g)   + O₂(g) --> CO₂(g) +   H₂O (g)

The balanced reaction has a DH^o_rxn = -2217 kJ. If a steak must absorb 7.2x10^-4 kJ to reach a perfect medium rare, and if only 15% of the heat produced by the barbeque is actually absorbed by the steak, what mass of H₂O is emitted into the atmosphere when this steak is cooked? (Hint: don’t forget to balance the reaction)

2. A student performed this lab with a marshmallow. He used 50.0 g of water and recorded a temperature of 21°C before heating and 30°C after heating. The marshmallow and fork weighed 21.5 g before heating and 21.1 g after heating. What was the total energy (in J) of the marshmallow? What was the energy per gram of the marshmallow?