A body in the solar system has a period of 10,759.22 days and a perihelion speed of 10.18 km/s. a. Calculate the aphelion radius in nautical miles (14 points). b. Calculate the eccentricity (2 points). c. Extra credit: Name the object. (6 points).

Answers

Answer 1

Answer:

Explanation:

From the information given, by applying Kepler's 3rd law,

[tex]T^2 \alpha a^3[/tex]

where;

T = period

a = semi major axis

T = 356 days (for earth)

a = 1 AU = 1.496 [tex]\times 10^8 \ km[/tex]

Therefore, [tex]T^2 = ca^3[/tex]

[tex]c= \dfrac{365^2}{(1.496 \times 10^8)^3}[/tex]

c = 3.9791 [tex]\times 10^{20} \ day^2/km^3[/tex]

However, if the body in the solar system has a period of 10.759.22 days, then, a =?

[tex]T^2 = ca^3[/tex]

[tex]a3 = \dfrac{10759.22^2}{3.9791 \times 10^{-20}}[/tex]

[tex]a^3 = 2.9092 \times 10^{27}[/tex]

[tex]a= \sqrt[3]{2.9092 \times 10^{27}}[/tex]

a = 1.4275 [tex]\times 10^9 \ km[/tex]

However, the velocity for a perihelion = 10.18 km/s

Using the formula

[tex]v = \sqrt{GM ( \dfrac{2}{r}-\dfrac{1}{a})}[/tex] to calculate the radius, we have:

G = [tex]6.674 \times 10^{-11}[/tex]

M = [tex]1.989\times 10^{30} \ kg[/tex]

r = perihelion

[tex]v ^2= GM ( \dfrac{2}{r}-\dfrac{1}{a})[/tex]

[tex](10.18 \times 10^3) ^2= 6.674 \times 10^{-11} \times 1.989 \times 10^{30} ( \dfrac{2}{r}-\dfrac{1}{1.425 \times 10^{12}})[/tex]

[tex]7.8068 \times 10^{-13}= \dfrac{2}{r}-\dfrac{1}{1.425 \times 10^{12}}[/tex]

[tex]\dfrac{2}{r} = 1.4824 \times 10^{-12}[/tex]

[tex]r = \dfrac{2}{1.4824 \times 10^{-12}}[/tex]

[tex]r = 1.349 \times 10^{12}[/tex]

Similarly, the perihelion is expressed by the equation,

r = a(1 - e)

where ;

e= eccentricity

[tex]1.349 \times 10^{12} = 1.425 \times 10^{12} ( 1 - e)[/tex]

[tex]1.349 \times 10^{12} - 1.425 \times 10^{12}= - 1.425 \times 10^{12} (e)[/tex]

[tex]-7.6\times 10^{10}= - 1.425 \times 10^{12} (e)[/tex]

[tex]\dfrac{-7.6\times 10^{10}}{- 1.425 \times 10^{12}}= (e)[/tex]

e ( eccentricity) = 0.0533

Aphelion radius in natural miles, r = a( 1+ e)

[tex]r = 1.425 \times 10^{12} ( 1 + 0.0533)[/tex]

[tex]r = 1.50 \times 10^{12} \ m[/tex]

to nautical miles, we have:

[tex]r = 1.50 \times 10^{12} \times 0.00054 \ nautical \ mile[/tex]

radius of aphelion [tex]\mathbf{r = 8.10 \times 10^8}[/tex] nautical miles

In respect to the value of a( i.e [tex]1.4275 \times 10^9 \ km)[/tex]

the body of the solar system is Saturn


Related Questions

At ICS Inc., a company that deals in software products, employees regularly complain about the lack of clarity regarding the tasks they are required to perform. Often there are two employees working on overlapping tasks, while some tasks are not designated to any employee. Though employees are satisfied with the pay and work culture, this aspect of their work environment has led to a lot of conflict in the workplace. From the information provided, this complaint of the employees can be closely linked to which HR function?
A) compliance with laws
B) analysis and design of work
C) compensation and benefits
D) maintenance of employee relations
E) recruitment and selection

Answers

Answer:

E) recruitment and selection

Explanation:

The human resource department of an organization is responsible for assigning tax to employees after recruitment based on their abilities.

Hence, the human resource team at ICS Inc needs to improve on filling the gaps in the organization or selecting the best employee for a particular job. This role involves providing clarity regarding the tasks employees are required to perform.

The element of the marketing mix that describes a good, service, or idea to satisfy consumers' needs is known as socratic

Answers

Answer:

Product.

Explanation:

A Marketing mix can be defined as the choices about product attributes, distribution strategy, communication strategy, and pricing strategy that a business firm or entity offers its targeted markets.

Generally, a marketing mix is made up of the four (4) Ps;

1. Price.

2. Promotions.

3. Place.

4. Product.

The element of the marketing mix that describes a good, service, or idea to satisfy consumers' needs is known as product.

Hence, product typically refers to the goods and services that gives satisfaction to the customer's needs and wants. They are either tangible or intangible items. Some examples of products are automobile cars, pencils, computers, television, mobile phones etc.

If the price of Good Y falls from $10 to $8, and the quantity supplied of it falls from 1,000 units to 600 units, the price elasticity of supply is:

Answers

Answer:

Price elasticity of supply = 2.25

Explanation:

Price elasticity of supply is defined as the degree to which quantity of a product supplied is sensitive to changes in price.

In a competitive market when the price of a good increases its supply also increases. This is because suppliers want to make more profit from the higher product price.

Price elasticity of supply = %∆ Quantity ÷ %∆ price

Price elasticity of supply = {(600 - 1000) ÷ (1000 + 600)/2}/ {(8 - 10) ÷ (10+8)/2}

Price elasticity of supply = -0.5 ÷ -0.2222

Price elasticity of supply = 2.25

how has technology changed communication over the past decade?​

Answers

Answer:

Explanation:

Advancements in technology and changes in communication generally go hand in hand. Landlines displaced the telegraph and cell phones replaced landlines. The arrival of the internet opened new doors of personal communication. E-mails replaced postal mails and social media took the place of text messages

Accounting is an information and measurement system that identifies, records, and communicates relevant, reliable, and comparable information about an organization's business activities. Select the aspect of accounting associated with this activity Aspects of Accounting Activities.1. Analyzing and interpreting reports.2. Presenting financial information.3. Keeping a log of service costs.4. Measuring the costs of a product.5. Preparing financial statements.6. Seeing revenues generated from a service. 7. Observing employee tasks behind a product.8. Registering cash sales of products sold.

Answers

Answer:

    Accounting Activities                     Aspect of Accounting Activities

1. Analyzing and interpreting reports                Communicating

2. Presenting financial information                   Communicating

3. Keeping a log of service costs                      Recording

4. Measuring the costs of a product                  Recording

5. Preparing financial statements                      Communicating

6. Seeing revenues generated from                  Identifying

a service

7. Observing employee tasks behind                Identifying

a product.

8. Registering cash sales of products                Recording

sold.

The _____ perspective on management consists of the systems, contingency, and quality-management viewpoints.

Answers

Answer:

the contemporary perspective

Explanation:

contemporary perspective in management can be described as the ways in which operations are been organized, lead in order to achieve some common goals in the organization.

It should be noted that Contemporary perspective on management consists of the systems, contingency, and quality-management viewpoints.

Financial accounting is the process of identifying, measuring, and communicating financial information about an economic entity to various user groups within the political, social, legal and economic environment. The four major elements of financial accounting​ are: ​(Select four that best describe the major​ elements.) A. ​Rules-based standards​ - standards consistent with​ specific, prescriptive rules. B. Economic entities​ - An economic entity is an organization or unit whose activities are separate from its owners and other entities. Economic entities can be​ corporations

Answers

Answer:

B. Economic entities​ - An economic entity is an organization or unit whose activities are separate from its owners and other entities. Economic entities can be​ corporations

Explanation:

The above is among the right answer to the question asked.

You work for the Parks Department. Read this policy document you received during your new-employee orientation. As used in the document, what is meant by "natural and cultural resources" and what type of context clue helps determine the meaning?

Answers

Answer:

Natural Resources refers to the resources which comes from the nature, as for example, plants, trees, ponds, waterfalls, land area, etc:

Cultural Resources refers to the architecture that comes from history and has to be preserved as part of history.

The policy document received by the new employee would clearly state the importance of preserving the nature and cultural resources in order to attract the people to visit parks and maintain the history at the same time.

The context as provided that one works for the "Park Department" makes it clear that the above definition and meaning of "natural and cultural resources" is correct. As the park department considers the importance of nature along with historic monuments.

Answer:

objects or places of historical significance; example clue

Explanation:

just did the test

Final test NEED an answer 50 points Mariana wants to research a career in veterinary medicine. Where could she find accurate and objective information? Check all that apply. She could speak with a career counselor. She could visit the library and check out a book from the career section about veterinarians. She could visit the library and check out a book from the fiction section with a veterinarian in it. She could visit the online site for the US Bureau of Labor and Statistics. She could visit a personal blog site written by a veterinarian.

Answers

Answer:

The first one, the second one, the fourth one. Not the fictional book or the blog.

Mariana wants to research a career in veterinary medicine. She could find accurate and objective information from the following.

She could speak with a career counselor. She could visit the library and check out a book from the career section about veterinarians.She could visit the online site for the US Bureau of Labor and Statistics.

The correct options are A, B, and D.

Why is research important in veterinary medicine?

More than most people realize, veterinary research is the study of animals, particularly their health, disease, and behavior, and it informs and influences a significant portion of our daily lives. The entire food chain benefits from the quality and safety that veterinary research provides.

Researchers in the field of veterinary medicine look for better ways to prevent, identify, and treat issues with both human and animal health. Using carefully bred, raised, and maintained laboratory animals under the guidance of veterinarians, they investigate a variety of diseases, including cancer and cardiovascular disease.

Thus, the ideal selection is options A, B, and D.

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Because of their relatively small national economies, which of the following is most likely considered to be the most important factor for Belgium, Korea, and Canada to take full advantage of specialization?A. division of labourB. international tradeC. economies of scaleD. command economy

Answers

Answer:

B. international trade

Explanation:

Belgium, Korea and Canada all three are very small economies. In order to take the full advantage of  specialisation, these economies has to focus on international trade.

As international trade not only provides for worldwide reach but, also demands for better quality. International standards are to be met. When the economy reaches on the standard where it fulfils the international standards then it reaches the maximum level of specialisation.

As the product is accepted globally and in the international market. After that all other countries recognise it as a specialised country for that specific product.

Which of the following questions would be permissible to ask during an interview with a candidate who is in a wheelchair?

Answers

Answer:

A

Explanation:

This seems the most reasonable depending on the interview....if it was for a job then you might need something that is not done with your legs

Questions that would be permissible to ask during an interview with a candidate who is in a wheelchair is:

Does your disability affect you in any other way besides being unable to walk?

When conducting an interview with a candidate who is in a wheelchair, it is essential to adhere to anti-discrimination laws and treat the candidate with respect.

Asking questions such as

Did you become disabled on the job?This job involves making photocopies. How would you perform that task?We like 90 percent or better attendance. Do you have to visit the doctor a lot because of your disability?

These questions are irrelevant to the job and not morally correct, asking about medical conditions or visits is not permissible as it related to the candidate's disability, which is protected information.

Questions like,

Does your disability affect you in any other way besides being unable to walk?

Is relevant to understand the potential candidate may need to perform the job effectively.

During an interview the main focus must be the Qualifications, Experience, and skills of a candidate relevant for the job position instead of their disabilities.

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You read in the financial press that the economy of Finland is sliding into a recession. What will happen in the bond market and the loanable funds market in Finland, ceteris paribus

Answers

Answer:

In the case of Finland, if their economy is sliding into recession, it will create panic and fear among those who purchased bonds from their previous transaction. People will be forced to sell their bonds due to its associated risk attached to it.

The number of people will to sell will force the bond market to crash leading to fall in the prices of the bonds while the loanable funds will increase drastically.

Explanation:

In the annual report, a major food chain stated that the distribution of daily sales at its detroit stores is known to be bell-shaped, and that 95 percent of all daily sales fell between $19,200 and $36,400. based on this information, what were the mean sales?

Answers

Answer:

$27,800

Explanation:

When a set of data is bell-shaped, the mean will be in the middle. A 95% confidence level means that $19,200 and $36,400 are located at 2 standard deviations from the mean. If you want to determine the mean, you have to add $19,200 + $36,400 = $55,600 and then divide by 2 = $27,800

Which of the following contingency factors will influence whether an organization is more effective with a primarily mechanistic organization design? Group of answer choices Service technology Large size Adaptive culture Innovative strategy

Answers

Answer: adaptive culture

Explanation:

Contingency factors simply describe how the setting of an organization shapes and influences the structural dimension.

The contingency factor that will influence whether an organization is more effective with a primarily mechanistic organization design is the adaptive culture.

Adaptive culture has to do with the expectation of change and the adoption of the changes in an effective manner as this leads to growth, and innovation.

How often is the annual inventory turnover for items like​ potatoes, corn, oil and​ seed, which are all​ perishable?

Answers

Answer:

200 times

Explanation:

Inventory turnover means how many times a business has sold and bought inventory for a period, in this case annually(annual inventory turnover). From the above, the perishables often have annual inventory turnovers of 200.To calculate annual inventory turnover such as for perishable goods tomatoes, given cost of goods(tomatoes) we calculate average turnover =beginning inventory +closing inventory /2. We then divide cost of goods by average turnover to get inventory turnover

An issuer interested in reducing its interest cost can use the call provision to call in outstanding bond issues. The issuer is most likely to call bonds with

Answers

Answer: high coupon and low call premium.

Explanation:

An issuer interested in reducing its interest cost can use the call provision to call in outstanding bond issues. The issuer is most likely to call bonds with a high coupon and low call premium.

Since we've been informed that the issuer is interested in reducing the interest cost and can use the call provision to call in outstanding bond issues, he or she should call in bonds with a high coupon and low call premium.

Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smartphones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000, Jamie expects a profit margin of 20 percent. This margin is 5 percent larger than that of her largest competitor, Apps, Inc.

Answers

Answer:

Accounting costs $145,000

Implicit costs $75,000

Opportunity costs $220,000

Explanation:

What her accounting cost will be during the first year of operation.

Based on the information given we were told that the annual overhead costs and operating expenses amounted to the amount of $145,000 which means that the amount of $145,000 will be the ACCOUNTING COSTS

Her IMPLICIT COSTS will be the amount of $75,000 which is the amount she earn in her current job per year.

Her OPPORTUNITY COSTS be the addition of both her Her accounting cost and implicit costs

Hence,

Opportunity cost=$145,000+$75,000

Opportunity cost=$220,000

A study of the potential demand for a new hospitality and travel business is called? strategic alliance
situation analysis,
swot analysis,
market analysis ?

Answers

Answer:

Situation  analysis

Explanation:

situation analysis is an analysis done before the start of a business and it is a part of a business plan. it includes an analysis of the firm's abilities, its potential customers, potential competitors and economy

Market analysis is the analysis of the market of a good. Market analysis includes :

analysis of the customers and their purchasing patternsanalysis of competitors an analysis of the economy

A SWOT analysis is an analysis of a firms strengths, weaknesses, and opportunities

Answer:

situation analysis

Explanation:

A bottling company sent a purchase order to a wholesaler that stated, "Ship 100,000 empty plastic bottles at the posted price." Two days after receipt of this purchase order, the wholesaler shipped the bottles, and the bottling company accepted delivery of them. A week after the bottles were delivered, the bottling company received the wholesaler's acknowledgement form, which included a provision disclaiming consequential damages. After using the bottles for two months, the bottling company discovered a defect in the bottles that caused its products to leak from them. The bottling company recalled 10,000 of the bottles containing its product, incurring lost profits of $40,000. Assuming all appropriate defenses are seasonably raised, will the bottling company succeed in recovering $40,000 in consequential damages from the wholesaler?

Answers

Answer:

The bottling company will probably succeed in recovering consequential damages because the original contract didn't include the seller's acknowledgement form. It was sent after the contract had been formed, and therefore, they cannot change the original contract unless the other party accepts that change. E.g. if you buy a car, the seller of the car cannot notify you one week after you purchased the car telling you that the car probably had a defect but they wouldn't responsible for it.

The general manager of a clothing store recently gave a motivational PowerPoint presentation to his employees on the value of being courteous to each customer. The manager’s behavior is an example of

Answers

Answer:

Leading.

Explanation:

In this scenario, the general manager of a clothing store recently gave a motivational PowerPoint presentation to his employees on the value of being courteous to each customer. The manager’s behavior is an example of leading. When you're a leader, you are saddled with the responsibility of controlling, influence, administering, guiding and dealing with the affairs of the employees working within the organization.

Generally, leadership entails setting the vision, goals and direction for the organization, as well as motivate the employees (team) to do the right thing and acting responsibly.

John F. Kennedy believed that a leader should be _____. A. elected B. successful C. a lifelong student D. in the military

Answers

John F. Kennedy believed that a leader should be successful .

He believes that as one is been elected by the people to be their leader, one should have a passionate vision to be successful. Option  b  

What was John F. Kennedy Values for a  Successful  Leadership

John F. Kennedy has  set series of Values and Rules, that can lead us and give us the insight on how to be a Successful leader.

John F. Kennedy,  as the President of the United States, was a high level Charismatic Leader and sets of  Values that should mold any Successful Leader which are

The leader should be able to  guide and  identify the way forward for a better future.A leader should be able to set a high standards what is doing what is need to done at the right time and doing them well.Set high goals and fixed your targetExpress your convictions of value and stick to them.Fight for freedom, rights for the people. Resolve differences.  Create a better future.appreciate others for their contribution.

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When attempting to determine human resource needs, HR managers prepare a(n) _____ providing details of all current employees, which includes their educational level and abilities and helps identify deficits in the workforce.

Answers

Answer: Inventory

Explanation:

The document prepared is known as a Human Resource Inventory ( Inventory for short) and is a very useful tool for analysis to human resource personnel.

In the inventory is contained the details of all current employees, which includes their educational level and abilities, their experience, age, gender, salary, special achievements and even preferred jobs.

From this inventory, certain deductions can be made such as deficits in the workforce.

Miller's office building with an adjusted basis of $625,000 and a fair market value of $885,000 is condemned on December 30, 2019. Miller is a calendar year taxpayer. He receives a condemnation award of $850,000 on March 1, 2020. He builds a new office building at a cost of $830,000, which is completed and paid for on December 31, 2022. What is Miller's recognized gain on receipt of the condemnation award and basis for the new office building assuming his objective is to minimize gain recognition

Answers

Answer:

1a. Recognized Gain $20,000

1b. Basis $625,000

Explanation:

1a. Calculation for Miller's recognized gain using this formula

Miller's recognized gain =Condemnation award-Costs of building a new office

Let plug in the formula

Miller's recognized gain=$850,000-$830,000

Miller's recognized gain=$20,000

Therefore Miller's recognized gain will be $20,000

1b.Miller's basis

Based on the information given we were told that Miller's office building had an adjusted basis of the amount of $625,000 which simply means that Miller's BASIS for the new office BUILDING will be the amount of $625,000

Therefore the Basis is $625,000

A corporation is a distinct ______ entity and as such can have a name and take advantage of the legal powers of natural persons

Answers

Answer:

Legal

Explanation:

A corporation is a business that is owned by shareholders. The corporation is a separate legal entity and so it can sue and be sued, pay taxes and own assets.

Advantages of a corporation include :

they have unlimited liabilitiesthey have unlimited life. the business doesn't end even after the death of the owners unlike a sole proprietorshipthey have more access to capital

Disadvantages of a corporation include :

high cost of setting up

Earnings to shareholders are taxed twice

On January 25, Complete Computer Services received cash of $1,500 for service revenue earned.The journal entry to record this transaction would be:

Answers

do you have a photo?

Which of the following statements is true? a. A college degree does not influence the earnings of workers. b. The median pay of economics majors increased more in dollar terms than any other majors in 2015. c. People with 0–5 years of work experience earn more than people with 10–20 years of work experience in all major fields. d. Students majoring in economics earned more than students majoring in engineering in the U.S. in 2015.

Answers

Answer:

b. The median pay of economics majors increased more in dollar terms than any other majors in 2015.

Explanation:

As it can be seen from the various sources that tha major in economics represents the largest per dollar rise for all major in the year 2015

Due to which it brings down the requirement for more economists also the word economics is not certain. Also, for the entry level jobs in the economics field, the minimum qualification should be masters

Therefore according to the given case, the option B is correct

As the demand for goods and services decreases, job growth
a increases
b. decreases
C. remains the same
d. none of the above
Please select the best answer from the choices provided
A
B
С
D

Answers

Answer:

As the demand for goods and services decreases, job growth

C. remains the same

As the demand for goods and services decreases, job growth decrease. Thus, the correct option is B). decreases.

What will be the result of increased demand over the job growth?

If the demand for a firm's output increases, then the firm will demand more labor as production will also increase, thus the job growth will increase.

If the demand of the goods and services decreases, then the production will decrease and the job growth will also decrease.

Hence, as the demand for the goods and services increases, the demand for labor will increase, the demand curve will shift to the right,

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The difference between the cost of a product or service and the selling price of that product or service is called

Answers

Answer:

rate

Explanation:

it's called at rate

The use of mathematical tools such as the application of linear programming for optimizing operations and the statistical process control for quality management is a characteristic of the _____ approach of the classical perspective of management thinking.

Answers

Answer: a. management science

Explanation:

The management approach is a method of making decisions in management by using quantitative tools and analysis which is why it is sometimes also known as a Quantitative approach.

During World War 2, maths was extensively used to come up with issues that kept creeping up and threatening to disturb the allied response and this is where this strategy traces its origins to.

Using mathematical tools such as linear programming as well as statistical process controls, management science enables managers to make decisions in light of their costs and constraints.

In order to alleviate the effects of bias in employment testing, employers might want to use ________ because they typically do not show racial or ethnic differences.

Answers

Answer: a. tests of conscientiousness

Explanation:

Test that measure conscientiousness essentially check to see if the prospective employee is capable of doing the tasks required of them well and with seriousness. The test will also show if the person is capable of showing the required diligence and care in their roles.

Such tests are free of bias in testing as conscientiousness can be measured evenly across cultures.

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