By considering the conservation of energy, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and 3294.6 m/s respectively.
Given that, r is at infinity when a spacecraft has run out of fuel and its kinetic energy is zero. if only the gravitational force of the earth were to act on the spacecraft would eventually crash into the earth.
Where
Mass of the earth [tex]m_{e}[/tex] = 5.97 × [tex]10^{24}[/tex] kg
Radius of the earth [tex]R_{e}[/tex] = 6.38 × [tex]10^{6}[/tex] m
G = 6.67 x [tex]10^{-11}[/tex]N[tex]m^{2}kg^{-2}[/tex]
a.) Since the spacecraft is primarily moving through the near vacuum of space, the speed V of the spacecraft when it eventually crash into the earth can be calculated by considering the conservation of energy.
The total initial energy = total final energy.
[tex]E_{i} = E_{f}[/tex]
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
where [tex]K.E_{i}[/tex] = 0
-G[tex]m_{e}[/tex]m/(r + [tex]R_{e}[/tex]) = 1/2m[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex]m)/[tex]R_{e}[/tex]
mass of the spacecraft will cancel out
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
G[tex]m_{e}[/tex]/(r + [tex]R_{e}[/tex]) = 0 since r is at infinity.
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/[tex]R_{e}[/tex]
Substitute all the parameters into the equation above.
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/6.38 x [tex]10^{6}[/tex]
0.5[tex]V^{2}[/tex] = 62,413,636.36
[tex]V^{2}[/tex] = 62,413,636.36 / 0.5
[tex]V^{2}[/tex] = 124,827,272.7
V = [tex]\sqrt{124,827,272.7}[/tex]
V = 11172.6 m/s
b.) Given that the distance from the earth r = x([tex]R_{e}[/tex])
That is,
r = 11.5 x 6.38 x [tex]10^{6}[/tex]
r = 73,370,000 m
To find the spacecraft's speed when its distance from the center of the earth is r, we will use the same formula. That is,
[tex]K.E_{i}[/tex] + [tex]U_{i}[/tex] = [tex]K.E_{f}[/tex] + [tex]U_{f}[/tex]
0 = 1/2[tex]V^{2}[/tex] + ( -G[tex]m_{e}[/tex])/r
Substitute all the parameters into the formula
0 = 0.5[tex]V^{2}[/tex] + ( -6.67 x [tex]10^{-11}[/tex] x 5.97 x [tex]10^{24}[/tex] )/ 73,370,000
0.5[tex]V^{2}[/tex] = 5427272.727
[tex]V^{2}[/tex] = 10854545.45
V = [tex]\sqrt{10854545.45}[/tex]
V = 3294.6 m/s
Therefore, the speed V of the spacecraft when it eventually crash into the earth and its distance from the center of the earth is r are 11172.6 m/s and
3294.6 m/s respectively.
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What was the purpose of the judiciary act of 1789 brainly.
Explanation:
The judiciary Act of 1789 established the federal court system separate from individual state courts .it was one of the first Acts of the first congress
Translate: i am hungry. Yo soy hambre. Yo estoy hambre. Yo tengo hambre. Yo es hambre.
Happy Holidays!
Yo tengo hambre.
Yo = I
Tengo = have (I form)
Hambre = hunger
Even though this literally translates to "I have hunger", this expression is used to say the equivalent "I am hungry".
The correct translation of "I am hungry" in Spanish is: "Yo tengo hambre."
Thus, option (c) is correct.
"Yo soy hambre" is not the correct translation.
In Spanish, "soy" means "am" and "hambre" means "hungry," but they are not used together in this context to mean "I am hungry."
"Yo estoy hambre" is also not the correct translation.
"Estoy" means "am" and "hambre" means "hungry."
However, in Spanish, the correct way to express hunger is by using the phrase "tener hambre."
"Yo tengo hambre" is the correct translation.
"Tengo" means "I have," and "hambre" means "hunger."
So, "Yo tengo hambre" translates directly to "I have hunger," which is the equivalent of "I am hungry" in English.
The phrase "Yo es hambre" is not grammatically correct in Spanish.
Thus, option (c) is correct.
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Which of the following statements is(are) correct when discussing homeostasis?.
Homeostasis is the physiological process by which the temperature and other functions are regulated. The internal conditions, sensor, effector, and control center of the feedback system are all related to homeostasis.
What is homeostasis?Homeostasis is the internal autoregulation of the internal environment of the body that provides stability to an organism. To maintain homeostasis the internal body conditions are regulated continuously.
The sensor, effector, and control center are the component of the feedback system that monitors, changes, and compares the physiological value of the bodily functions.
Therefore, homeostasis maintains the internal conditions of the body.
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What was the main purpose of the declaration of independence brainly.
Answer:
Explaining the colonists' position on the purpose of human government
Explanation:
Factual information can be presented with bias. Please select the best answer from the choices provided t f.
Answer:
False
Explanation:
When giving factual information it is important to be able to present your views without bias. When receiving the information it is important to be able to distinguish bias from fact.
Answer:
right
Explanation:
What is the value of x in the equation ?.
Answer:
There is no equation provided
Explanation:
In which region would an archaeologist be most likely to find evidence of roman roads?.
Answer:
saharan africa
Explanation:
. Roman roads are spread to northern Africa.
if the archeologist would go to sub Sahara Africa, he would be more likely to fijd the roads.
he could also go to Israel. the Roman's made a stone paved road and some people while traveling it dropped coins. if he were to look for the coins, he would find the road.
The author’s main purpose is to convince readers to.
A "sentiment" is a feeling or belief. Based on the meaning of this word, what is wilson’s message in this sentence?.
Based on the meaning of the word "sentiment", Wilson's message is the following:
Americans should avoid thoughts, beliefs, and actions that are partial.This exercise has three options to choose from that I was able to find online as well as the message:
A) Americans should only worry about their actions, not their beliefs. B) Americans should avoid thoughts, beliefs, and actions that are partial. C) Americans should feel free to prefer one side to another.The correct option is B.
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A dishwasher uses 65 litres of water to wash 5 loads of dishes. How many litres of water would be used to wash 12 loads?.
Answer:
156 litres of water to wash 12 loads
Explanation:
set a proportion
65 x
--- = ---
5 12
12/5 = 2.4
2.4 x 65 = 156
x = 156
Based on the description that follows how many potential.
The number of potential insider threat indicators is; 0 potential insider threat indicators
The given description is missing and it is;
How many potential insider threat indicators does a person who is married with two children, vacations at the beach every year, is pleasant to work with, but sometimes has poor work quality display?
Insider threat indicators are individuals that posses authorized access to certain encrypted government documents/resources and makes use of those government properties to cause harm to the security of a place or state or country. Now, in our question the married man goes on vacations with his family and as such there is no insider threat indicator because there is no outsider and though the person has poor work quality display, he will not harm his family.Read more about insider threat indicators at;
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Events d and e are independent, with p( d ) = 0. 6 and p( d and e ) = 0. 18. Which of the following is true?.
Answer:
(D) P(D or E) = 0.72
Explanation:
That's the correct answer.
What was a result of the efforts of john steinbeck, dorothea lange, and woody guthrie?.
Answer:
Answer:
More Americans became aware of the problems of migrants
.Explanation:
John Steinbeck, Dorothea Lange, and Woody Guthrie were all immigrants to America and their works in various ways highlighted the problems facing immigrants.
For instance, Woody Guthrie write a song which mirrored the racial injustice faced by passengers before and after a plane crash.
Their efforts made more Americans become aware of the problems of migrants.
The result of the efforts of John Steinbeck, Dorothea Lange, and woody Guthrie was more Americans became aware of the problems of migrants. The correct option is C.
Who were John Steinbeck, Dorothea Lange, and woody Guthrie?All three authors—John Steinbeck, Dorothea Lange, and Woody Guthrie—came to America as immigrants, and their writings in unique ways highlighted the difficulties immigrants face.
A song by Woody Guthrie, for instance, reflected the racial unfairness experienced by passengers both before and after an aircraft disaster. More Americans are now aware of the issues affecting migrants thanks to their work.
Therefore, the correct option is C, More Americans became aware of the problems of migrants through the work of These three people.
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The question is incomplete. Your most probably complete question is given below:
Fewer Americans felt sympathetic toward migrants.
More Americans decided to become migrants.
More Americans became aware of the problems of migrants.
Fewer Americans became unemployed.
A survey participant is randomly selected. Let f be the event that the participant’s first motor vehicle had four cylinders and let u be the event that the participant’s first motor vehicle was an suv. What is the value of p(fc and u)?.
The value of P(fc and u) is 0.09
From the complete question, we have the following highlights:
A total of 200 participants were surveyed.18 of the survey participant's first motor vehicle had four cylinders and the participant’s first motor vehicle was an SUV.These mean that;
[tex]n(fc\ and\ u) = 18[/tex]
[tex]n =200[/tex]
So, the value of P(fc and u) is calculated using:
[tex]P(fc\ and\ u) =\frac{n(fc\ and\ u)}{n}[/tex]
This gives
[tex]P(fc\ and\ u) =\frac{18}{200}[/tex]
Divide 118 by 200
[tex]P(fc\ and\ u) =0.09[/tex]
Hence, the value of P(fc and u) is 0.09
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Which of the following statements about the nitrogen cycle is true?.
Answer:
none, I am not very sure.
but I was eager and happy to help.
not an expert, I must say.
According to the age of revolution tab, who were the shakers, and what was one of their influences in this era of music?.
Who's your favorite You_Tuber ?
Explanation:
mr beast
Answer:
lisa koshy
shes my favorite
omg
What was the advantage of the location of byzantine empire's capital.
Explanation:
Their new capital was a "bridge" between Europe and Asia
The politician's earlier association.
The politicians earlier associated with the student communist movement faced doubts about his reputation with some in his party who feared his history would hurt his chances of being elected.
What is the explanation of the above statement?The statement suggests that politicians who had previous involvement with the student communist movement encountered skepticism within their own party.
Some party members expressed concerns that their association with the movement could have a negative impact on their electoral prospects.
This highlights how political history and reputations can influence perceptions and create apprehensions among party members and potentially affect electoral success.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The politicians earlier associated with the student communist movement———his reputation with some in his party who feared his history would hurt his chances of being elected
All of the following are functions of the nervous system except.
Answer:
brain is NOT a part of the peripheral nervous system. The brain, brain stem and spinal cord are all components of the central nervous system.
A food establishment that serves oysters should have what.
A food establishment that serves oysters should have a proper storage
system and shuckers.
An establishment that serves this sea animal must have shuckers . They help
in the process of removal of shells of the oyster so as to ensure it is properly
processed and edible.
They must also have a proper storage system in order to prevent spoilage,
reduce wastage and increase profit of the food establishment.
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Answer:A variance approved by the local regulatory authority
Explanation:
What should a food worker do to prevent a physical hazard.
Answer:
Wash fruits and vegetables carefully, look closely at the foods you prepare, keep the food preparation area free of things that can fall into the food
Explanation:
All of the following are examples of physical changes except.
Answer:
Thermal conductivity is not a path function.
The density of air under ordinary conditions at 25°c is 1. 19 g/l. How many kilograms of air are in a room that measures 10. 0 ft × 11. 0 ft and has an 10. 0 ft ceiling? 1 in = 2. 54 cm (exactly); 1 l = 103 cm3.
Answer: The mass of air present in the room is 37.068 kg
Explanation:
Western civilization includes which of the following countries? peru mexico south africa united states of america india russia brazil canada france china.
Answer: Peru, Mexico, United states of America, Brazil, and Canada.
Explanation:
They are all on the west
Western civilization includes the following list of countries:
PeruMexicoUnited States of AmericaBrazilCanadaFranceWestern civilization is also referred to as Western culture and it can be defined as a terminology that is used to describe the various cultural heritage of a country in the Western world. Thus, Western civilization is a cultural heritage that comprises the following:
Political systemsArtifactsSocial normsEthical valuesTraditional customsBelief systems TechnologiesIn this context, countries that are under Western civilization includes the following:
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Who's your Idol ? or role model ?
Answer:
nicki minaj
Explanation:
Cacharrerosdelaweb. Com at the time of initial recognition, an item of property, plant and equipment will be measured by its cost.
At the time of initial recognition, a property, plant and equipment asset will be measured based on its cost: True.
Tangible assets such as property, plant and equipment are assets that are owned by a business firm and are used for the production or supply of its products and services.
In Business management, an asset would only be included in property, plant, and equipment, if it has the following features;
It is expected or required to be held for use but not for sale.It is owned by the business firm.It must be tangible and permanent in nature.It must have an expected life of a normal operating cycle that is typically above a year.At the time of initial recognition, a property, plant and equipment asset will be measured based on its cost, which is typically the cash-equivalent price or financial value on the recognition date according to generally accepted accounting principles (GAAP).
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Which of the following is true of (1, 4) and (1, −7)?.
Answer:
(1,4)
Explanation:
At a football game, the ratio of filled seats to empty seats was 7 to 3. The capacity of the stadium is 70,580. How many seats were filled for the game?.
The number of seats in the stadium that were filled for the game is equal to 49,406 seats.
Let the filled seats be F.Let the empty seats be E.Given the following data:
Stadium capacity = 70,580.Ratio of F to E = 7:3Total ratio= 7 + 3 = 10To determine the number of seats in the stadium that were filled for the game:
Mathematically, the number of filled seats in the stadium is given by this expression:
[tex]F = \frac{7}{10} \times 70580\\\\F=0.7 \times 70580[/tex]
F = 49,406 seats.
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What is the purpose of this sentence within the context of the entire essay?.
Answer:
What sentence?
Explanation:
There is nothing below the question that I can see.