During an earthquake, a floor oscillates horizontally in approximately simple harmonic motion. Assume it oscillates at a single frequency with a period of 0.67 s.

(a) After the earthquake, you are in charge of examining the video of the floor motion and discover that a box on the floor started to slip when the amplitude reached 11 cm. From your data, determine the coefficient of static friction between the box and the floor.

______________

(b) If the coefficient of friction between the box and floor were 0.39, what would be the maximum amplitude of vibration before the box would slip?

_______________cm

Question 4

Ghana Post Company Ltd has two divisions, EMS and the Postal division. Ghana Post Company Ltd intends to increase its investment in EMS and Postal division by GHS10,000 each. The increase in investment is expected to increase net income by GHS18,000 and GHS20,000 in EMS and Postal respectively. Currently, the assets structure of both EMS and Postal is analysed below:

                                              EMS                         Postal

                                             GHS                          GHS

                                    Investment

Motor vehicles                            70,000                     180,000

Buildings                                         30,000                     120,000

Scales/Equipment                         20,000                     100,000

                                                         120,000                     400,000

                                    Current Asset

                                     Stamps                            25,000                          50,000

                                     Stationary                       45,000                         80,000

                                      Debtors                           80,000                          70,000

                                      Bank                                                                     130,000

       60,000                         330,000

                                     Current liabilities         210,000

Creditors                         10,000    200,000     20,000        310,000

                                                            320,000                          710,000

Current Revenue for both EMS and Postal are GHS364,000 and GHS692,000 respectively. Total expenses as a percentage of revenue are 80.2% and 88.2% for EMS and Postal respectively. Assume cost of Ghana Post is 15% and the company evaluates its managers based on return on investment (ROI) and Residual Income (RI).

Required:

1. Calculate ROI before and after the expansion.
2. Using the cost of capital, determine the residual income before and after the expansion.
3. Should management of Ghana Post invest in the expansion? Give reasons

1. Describe the main characteristics and objective of profit and investment centres.
2. Explain conditions necessary for the successful introduction of both profit and investment centres.

Assignment Details:

Perform the following tasks:

• Complete the reading assignment and the interactive lesson before attempting this assignment.
• Select a recent news article about a life event of an individual. It can be health related, accident related, educational, or even achievement-oriented. It will be one "slice in the lifespan of that person." For example, you might select a story of someone who has achieved a major goal in life after experiencing a debilitating accident. An example would be Nick Vujicic. Or, you could choose the story of an individual who may be suspected of a developmental disorder, and who is involved in tragedy such as James Holmes. You are encouraged to Google these individuals and read about their stories for ideas for your own selection. Write an essay (approximately 150-175 words) in the space provided in the Assignment Worksheet section on page three addressing the following questions:

1. What is happening to this individual? Give a brief summary.
2. What stage of lifespan developmental stage/age is this person experiencing (i.e. Infant, child, adolescent, or adult and the chronological age)?
3. How might have the "twig" (person) been bent? Select at least three major developmentalist assumptions such as nature/nurture, behaviorism, genetic code, sociocultural, or any other developmental concepts from your textbook and discuss how these developmental concepts may have contributed to this person's situation before, during and after the life event featured in the news article.v

We first look at a particle that moves in a one-dimensional potential with form:
? (?) = ?₀ (1/2 ((? / ?) ^ 4) - ((? / ?) ^ 2)),
where ?₀ is a constant with unit Joule and ? a constant with unit meter. We can also imagine
a small sphere influenced by the gravitational acceleration ? that rolls along a roller coaster, where
the height above the ground can be described as:
ℎ (?) = ℎ₀ (1/2 ((? / ?) ^ 4) - ((? / ?) ^ 2)),
so that the potential energy of a mass of mass ? becomes:
? (?) = ??ℎ₀ (1/2 ((? / ?) ^ 4) - ((? / ?) ^ 2))

b) Show that the force acting on a mass of mass ? in position ? is:
? (?) = 2?? (ℎ₀ / ?) * (? / ?− ((? / ?) ^ 3))

c) Find the equilibrium points and characterize them as stable or unstable.

d) You release a particle without initial velocity at a position ?> 0. Where to escape from
that the particle should reach a position with ? <0?

We are now looking at a situation where a particle A with mass ?? = ? is released without initial velocity at
position ?? = −2?. A particle B with mass ?? = 2? is at rest in position ? = −?. The two particles
collide in an inelastic collision with the recovery coefficient
??? = - ((?_A,₁ - ?_B,₁) / (?_A,0 - v_B,0)) = 0.5
where ?_A,0 and ?_A,1 are the velocities of particle A immediately before and after the collision, and correspondingly
for particle B.

e) Find the velocity of particle A just before it collides with particle B at position ? = −?.

f) Find the velocities ?_A,1 and v_B,1 immediately after the collision.

House of Haddock has 5,130 shares outstanding and the stock price is $153. The company is expected to pay a dividend of $22 per share next year and thereafter the dividend is expected to grow indefinitely by 2% a year. The president, George Mullet, now makes a surprise announcement: He says that the company will henceforth distribute half the cash in the form of dividends and the remainder will be used to repurchase stock. The repurchased stock will not be entitled to the dividend.

a-1. What is the total value of the company before the announcement?

a-2. What is the total value of the company after the announcement?

a-3. What is the value of one share?

b. What is the expected stream of dividends per share for an investor who plans to retain his shares rather than sell them back to the company? Check your estimate of share value by discounting this stream of dividends per share.

What is the expected stream of dividends per share for an investor who plans to retain his shares rather than sell them back to the company? Check your estimate of share value by discounting this stream of dividends per share. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Mr. Jones who is 74 years of age, is being discharged home after having a right knee replacement. the discharged orders from the orthopedic surgeon include: continous passive motion at the current setting 0-degree extension worn when wolking with crutches (nonweight bearing postdischarge day 1, and may begin weight bearing postdischarge day 2); and home nurse visits, as needed, physical therapy should begin the day after discharge at an orthopic center. the orders will be faxed to the center. The following medication with prescription attached include: lovenox (enoxaparin) 70 mg subcutanously onces daily for seven days, vicodin (hydrocodone bitartrate) 10mg every 4 hours PRN, and colace (docusate sodium) 100mg every day. The patient is to fellow up with the orthopedic surgeon in 3 weeks. His daughter plan to stay with him for several weeks to assist him with meal and other house hold chores. and take him to physical therapy and the orthopedic surgeon for follow up. Mr Jones has three other children who live in other states. he is a widower and attends a local church. (learning object 4)

what preparation should the nurse make in advance before attainingnecessary communuity resources and referrals before the patient is discharged.

what necessary community resources and referals will the patient need

1. Mr. Jones, who is 74 years of age, is being discharged home after having a right knee replacement. The discharge orders from the orthopedic surgeon include: continuous passive motion (CPM) at the current setting of 0-degrees extension worn when walking with crutches (nonweight-bearing postdischarge day 1, and may begin weight-bearing postdischarge day 2); and home nurse visits, as needed. Physical therapy should begin the day after discharge at an orthopedic center. The orders will be faxed to the center. The following medications with prescriptions attached include: Lovenox (enoxaparin) 70 mg subcutaneously once daily for 7 days, Vicodin (hydrocodone bitartrate) 10 mg every 4 hours PRN, and Colace (docusate sodium) 100 mg every day. The patient is to follow up with the orthopedic surgeon in 3 weeks. His daughter plans to stay with him for several weeks to assist him with meals and household chores, and take him to physical therapy and the orthopedic surgeon for follow-up. Mr. Jones has three other children who live in other states. He is a widower and attends a local church. (Learning Objective 4)

What preparations should the nurse make in advance before attaining necessary community resources and referrals before the patient is discharged?

What necessary community resources and referrals will the patient need

After experiencing such great success with their food cart, Nathan and Cody are considering purchasing a food truck to serve other communities. This would allow the Great Tamale, GT, to reach even more customers in different geographic locations. There would be an increase in the selling price per plate. There will also be an increase in the fixed costs of $30,000 for advertising to inform the public of this change (this amount is already included below under Food Truck data).   The financial information is presented below for this alternative as well as the original data. Assume 31,125 plates are sold for the food cart and 45,625 plates are sold for the food truck.

If the company wishes each scenario, food cart and food truck, to generate target income of $250,000, what is the amount of sales that needs to be generated? How many plates will then need to be sold? Prepare a contribution margin statement for this step and verify that your income before taxes is $250,000 (after-tax net income in fact equals $170,000 at a tax rate of 32%) for both the food cart and food truck.

THE ANSWER SHOULD BE A TARGET INCOME OF $432,727 AND 61,819 UNITS FOR THE FOOD CART. $554,695 AND 69,337 UNITS FOR THE FOOD TRUCK. SHOW WORK.

P-value calculations.

1. A) Use a t-test of comparative pairs to determine whether there is a statistically significant difference in the number of rat discoveries observed before and after a major disposal operation in nine areas. Calculate p-value.

1. B) The effect of the new oat variety on yield was studied by comparing yields with the old commonly cultivated variety. Varieties were randomized into 20 separate plots and yields (kg / ha) were measured:

New Variety: 4134, 4202, 4365, 4202, 4156, 4322, 4208, 4389, 4423, 4211.
Old variety: 3973, 4188, 4191, 3995, 4222, 3972, 3919, 4177, 4282, 3985.

Use the t-test of independent samples to determine whether the mean yields of the new and old varieties differ statistically significantly. Calculate the p-value.

1. C) Use the Levene test to determine whether the standard deviations of the yields of the new and old varieties differ statistically significantly in Question 1b. Calculate the p-value.