very far from earth (at r=[infinity]), 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 it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. the mass of the earth is me and its radius is re. neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space.

Answers

Answer 1

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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Related Questions

how does characterization contribute to the theme of the tiger's whiskers

Answers

Characterization is a literary device that is used by a writer to show or describe the features of a character to the audience. The author can either choose to make use of a direct characterization to describe the character through his actions, or other means.

With this in mind, we can see that there are two main types of characterization and they include:

Indirect characterizationDirect characterization.

Please note that your question is incomplete so I gave you a general overview to help you get the right answer

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A child riding a bicycle at 15 m/s accelerates at 3. 0 m/s/s for 4. 0 s. What is the child's speed at the end of this 4. 0 s interval?.

Answers

Answer:

The final speed of bicycle would be 27 m/s².

Step-by-step explanation:

Given :

[tex]\small\red\bull[/tex] Initial velocity (u) = 15 m/s[tex]\small\red\bull[/tex] Acceleration (a) = 3.0 m/s²[tex]\small\red\bull[/tex] Time = 4 seconds

To Find :

[tex]\small\red\bull[/tex] Final velocity (v)

Using Formula :

[tex]\longrightarrow{\pmb{\sf{v = u + at}}}[/tex]

[tex]\small\blue\star[/tex] v = final velocity [tex]\small\blue\star[/tex] u = initial velocity [tex]\small\blue\star[/tex] a = acceleration [tex]\small\blue\star[/tex] t = time taken

Solution :

Substituting the values in the formula to find the final velocity :

[tex]\longrightarrow{\sf{v = u + at}}[/tex]

[tex]\longrightarrow{\sf{v = 15 + (3.0 \times 4)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 + (3 \times 4)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 +(12)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 +12}}[/tex]

[tex]\longrightarrow{\sf{v = 27 \: {m/s}^{2}}}[/tex]

[tex]\star{\underline{\boxed{\red{\sf{v = 27 \: {m/s}^{2}}}}}}[/tex]

Hence, the final speed of bicycle would be 27 m/s².

[tex]\rule{300}{1.5}[/tex]

What will you see on the next line? >>> round(7. 8).

Answers

Answer:

8.0 is a answer

your answer is 8.0

When practicing rational emotive behavior therapy, a therapist will typically.

Answers

Answer: huh?

Explanation:

Examine the logic the client uses that leads him or her to the emotional reaction. Therefore, the correct answer is option D.

Explanation: When practicing Rational Emotive Behavior Therapy, a therapist works to examine the logic or reasoning the client uses that leads to the emotional reaction they experience. This involves helping the client to understand how their thoughts and beliefs may be causing negative feelings, or helping them reinterpret their experiences to get new perspectives. The therapist can also explore potential causes of the problem that the client may be unaware of, and help them to recognize negative patterns of thinking and behavior. It does not involve looking for childhood experiences that contributed to the current problem or affirming to the client that they have good reasons to feel the way they do.

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

When practicing rational emotive behavior therapy, a therapist will typically a. look for the childhood experiences that contributed to the current problem.

b. affirm to the client that he or she has good reasons to feel the way he or she does.

c. wait for the client to discover the source of the problem rather than suggest what the source might be.

d. examine the logic the client uses that leads him or her to the emotional reaction.

Hola que me recomiendan para entender mas otro idioma que no es el mio?

Answers

Answer: Yes I do

Explanation:

Which of the following is a goal of collaborative discussions about literature?.

Answers

Answer:

I need only 5 brainlisted please give me

Explanation:

please understand my situation

Why is human capital important index important for a country brainly.

Answers

Answer:

Human capital

Explanation:

The term human capital refers to the economic value of a worker's experience and skills. Human capital includes assets like education, training, intelligence, skills, health, and other things employers value such as loyalty and punctuality.

All of the following were colonized by france except.

Answers

Answer:

A. Vanuatu

B. French guiana

An atom with the electron configuration 2-8-2 would most likely.

Answers

mangnesium is the element with that electronic configuration

How is suspense created for the reader in this passage.

Answers

There are different ways to create suspense. How is suspense created for the reader in this passage is that the narrator has details about what is going to happen next but only shares small hints.

Creating suspense by an author entails one to hold back some information and raising key questions that arouse the mind or curiosity of the readers.

In Character development, one has to generate suspense and as such the narrator by withholding some details about what is going to happen next will arouse the curiosity of the reader and the narrator can see go ahead and give them some small hints.

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Alex has not been keeping his banking records up to date. On his latest bank statement, he found that he had been charged an overdraft fee for writing a bad check. In addition to his being charged a fee, which of these is another possible consequence of an overdraft?.

Answers

Answer: Stop deleting the answer your mad or what xD

Contacting to your parents....

Answer: The correct answer is D) The merchant who received his check will expect repayment and a penalty fee.

Explanation:

A burning fire produces ______ energy.
A.) kinetic and potential
B.) electrical and thermal
C.) light and thermal
D.) chemical and radiant

Answers

Answer:

c

Explanation:

it's fire try that one tho

C. Light and thermal

Read the excerpt then choose the correct way to complete the sentence.

Answers

The purpose of this excerpt is to: address the concerns of a distrustful audience.

In Lincoln's message to congress, he addressed those who might be uneasy about the possible course of the government against the Southern states after conquering their rebellion.

He explained that his government will not act in an unconstitutional manner against the erring states.

So, he was trying to address the concerns of the distrustful audience.

(The excerpt is drawn from "Message To The Congress in Special Session, July 4, 1861 by Abraham Lincoln.)

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Answer:

address the concerns of a distrustful audience

Explanation:

Determine whether or not the vector field is conservative. If it is conservative, find a function f such that f = ∇f. (if the vector field is not conservative, enter dne. ) f(x, y, z) = i + sin(z)j + y cos(z)k.

Answers

If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means

∂f/∂x = 1

∂f/∂y = sin(z)

∂f/∂z = y cos(z)

Integrating each each of these equations gives

∫ ∂f/∂x dx = ∫ dx   ⇒   f(x, y, z) = x + α(y, z)

∫ ∂f/∂y dy = ∫ sin(z) dy   ⇒   f(x, y, z) = y sin(z) + β(x, z)

∫ ∂f/∂z dx = ∫ y cos(z) dz   ⇒   f(x, y, z) = y sin(z) + γ(x, y)

It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So

f(x, y, z) = x + y sin(z) + C

and F is indeed conservative.

The future for petroleum use at the moment looks rather uncertain.

Answers

The petroleum is a widely consumed economic product. The future for petroleum use at the moment looks rather uncertain is a true statement.

The future for petroleum use at the moment looks rather uncertain been though we as a nation and others all over the world are enjoying the key benefit of a very advanced infrastructure that is already put in motion.

The effects of petroleum use in  the environmental has lead to harm to public health. This is because carbon dioxide emissions in exhaust fumes, has caused a lot of respiratory problems etc.

Other harm to our  ecosystems due to oil spills and seepage etc. We must known that the key issue is  that oil is a finite resource and may soon finish.

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Decide whether the sentence is gramatically correct or incorrect as written. Va a llover hoy. Correctincorrect.

Answers

It is important to right a correct statement that one can understand.  Va a llover hoy is written correctly.

There are different kinds of Spanish words that are often used in a sentence. Va a llover hoy  is a Spanish word that means it's going to rain today.

Complete sentence

In Spanish, a complete sentence is one that always have or implies that there is a subject and a verb in the sentence and it does make a complete sense.

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Answer:

Correct

Explanation:

I got it right on Edge.

Accelerated mammary gland development in intellectually disabled.

Answers

Answer:

The vitamin D receptor (VDR) is present in mammary gland, and VDR ablation is associated with accelerated glandular development during puberty. VDR is a nuclear receptor whose ligand, 1,25-dihydroxyvitamin D [1,25-(OH)(2)D] is generated after metabolic activation of vitamin D by specific vitamin D hydroxylases. In these studies, we demonstrate that both the VDR and the vitamin D 1-alpha hydroxylase (CYP27B1), which produces 1,25-(OH)(2)D are present in mammary gland and dynamically regulated during pregnancy, lactation, and involution. Furthermore, we show that mice lacking VDR exhibit accelerated lobuloalveolar development and premature casein expression during pregnancy and delayed postlactational involution compared with mice with functional VDR. The delay in mammary gland regression after weaning of VDR knockout mice is associated with impaired apoptosis as demonstrated by reductions in terminal deoxynucleotidyl transferase-mediated deoxyuridine nick-end labeling staining, caspase-3 activation and Bax induction. Under the conditions used in this study, VDR ablation was not associated with hypocalcemia, suggesting that altered mammary gland development in the absence of the VDR is not related to disturbances in calcium homeostasis. Furthermore, in the setting of normocalcemia, VDR ablation does not affect milk protein or calcium content. These studies suggest that the VDR contributes to mammary cell turnover during the reproductive cycle, and its effects may be mediated via both endocrine and autocrine signaling pathways. Unlike many mammary regulatory factors that exert transient, stage-specific effects, VDR signaling impacts on mammary gland biology during all phases of the reproductive cycle.

Explanation:

i-summarize niyo nalang po

If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not.

Answers

If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not insured in compliance with the financial responsibility law? You may be required to pay for the damages before your driving privileges is reinstated.

Which factors led to the ming dynasty’s decline? choose four answers. Low taxes declining trade rebellion poor leadership increased exploration food shortages.

Answers

The answers are:

B. Declining trade

C. Rebellion

D. Poor Leadership

F. Food shortages

The factors that led to the decline of the Ming dynasty were declining trade, rebellion, poor leadership, and food shortages.

The Ming Dynasty was a dynasty that governed China from 1368 to 1640 (A.D.).

During this period, the size of the population in China doubled as a consequence of the economic bonanza.

The decline of this dynasty (Ming dynasty) was mainly due to economic issues associated with the lack of minerals (silver), rebellion in the population and natural disasters.

In conclusion, the factors that led to the decline of the Ming dynasty were declining trade, rebellion, poor leadership, and food shortages.

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What is a good way to make your podcast more interesting brainly.

Answers

A way to make your podcast more interesting is to talk about deep stuff or important topics that is going on in the worlds and that you thing is affecting the world now. Talk about things you're interested in.
Focus on your target audience.
Tell lots of stories.
Help your audience take the next step.
Ask your listeners questions and report their responses.
Stay on topic and don't wander too much.
Invite unique experts onto your show.

Answer:

Add music or sound affects

Explanation:

I-ready

Which of the following is an effect of global warming? a. Falling sea levels b. Decrease in the acidity of seawater c. Heavier rainfall and flooding d. Health improvements please select the best answer from the choices provided a b c d.

Answers

Answer:

The answer is C.

Explanation:

As air warms, it can “hold” more water vapor than air at cooler temperatures. As temperatures rise, more water evaporates from soils, plants, oceans and waterways — this becomes vapor. Additional water vapor means there’s more water available for heavier rain.

Answer:

c

Explanation:

because i got it right

Change the following to improper fraction or mixed number 35/8.

Answers

Answer:

4 3/8  

 

Explanation: Step 1 - Find Whole Number.  

35 / 8 = 4.3750 = 4

35 - (8 x 4) = 3 Step 2 - Find New Numerator

Which of the following is not considered a result of global warming?.

Answers

Answer:

.B.ncrease in fossil fuel emissions

Explanation:

The increase in fossil fuel emissions cause global warming, not the other way around

How does the poster most likely demonstrate the use of the testimonial technique? the photograph shows fictional film characters, used to "sell" immunization. The text references the health department, a revered government institution. The phrase "call your doctor" adds a reference to an esteemed authority. The phrase "parents of earth" reminds the audience of the importance of parenting.

Answers

Answer:

The answer is "The photograph shows fictional film characters, used to 'sell' immunization."

Explanation:

your welcome

The poster that most likely demonstrates the use of the testimonial technique is the photograph showing fictional film characters, used to "sell" immunization. The correct option is A.

What is the testimonial technique?

When a well-known person (or alternatively, someone who is despised by most people) says something is good (or bad). This method is employed to persuade us without properly scrutinizing the facts.

The "man-on-the-street" interview is a method for getting testimonials from people who can relate to a product. In order to establish credibility, this strategy tries to demonstrate customer pleasure by a user who, in many ways, resembles members of the target demographic.

Therefore, the correct option is A, the photograph shows fictional film characters, used to "sell" immunization.

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A data analyst uses the color tool in tableau to apply a color scheme to a data visualization. In order to make the visualization accessible for people with color vision deficiencies, what should they do next?.

Answers

Considering the situation described above, to make the visualization accessible for people with color vision deficiencies, the data analyst should use a color scheme with lots of contrast.

The Essence of Color Contrast.

The essence or significance of color contrast is that it ensures that data or characters are well lighted and shown such that people can easily see things clearly.

Since people with color vision deficiency would have difficulty seeing the characters clearly from the background, a more color contrast would help them see them better.

Hence, in this case, it is concluded that the correct answer is that "the data analyst should use a color scheme with lots of contrast."

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Which would be the best label for the circle in the center.

Answers

Answer:

Is there a picture that comes with this?

One of the researchers proposes using oxygen gas production to measure reaction rates. Which of the following statements best justifies the use of the proposed modification as a way of creating an appropriate control for the investigation?.

Answers

There are different factors taken into consideration in production process. The statement that best justifies the use of the proposed modification as a way of creating an appropriate control for the investigation is that;

The experiment can be repeated without the use of guaiacol, which will therefore show the effect of guaiacol on the reaction rates.

Oxygen is an element that exist naturally and can also be produced from different kinds of materials. This is often done by using a lot of different methods.

The natural method of getting oxygen is through photosynthesis where plants are known to use sunlight to convert carbon dioxide in the air into oxygen.

By not using guaiacol again when repeating the same experiment, one can therefore know if the guaiacol in one or different ways affect the chemical reaction of the elements.

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Answer:

C. The experiment can be repeated without guaiacol, which will reveal the effect of guaiacol on the reaction rates.

Explanation:

In the original experiment, the researchers used guaiacol as a reaction indicator. By using oxygen gas production to measure reaction rates, the researchers no longer need the guaiacol and can repeat the experiment without it, which will reveal the effect of guaiacol on the reaction rates.

I also got this question correct so I am sure

Complete the table by dragging the correct sequence or formula to the correct container.

Answers

There are a lot of functions in mathematics. The answers are:

Arithmetic are: 3, 8, 13, 18,... , 4, 8, 12, 16,...

Geometric are : 4, 8, 12, 16,... , 2,6, 18, 54,...

Neither Arithmetic  nor Geometric are: 5, 10, 20, 30,...

Arithmetic sequence

An arithmetic sequence is known to be a type of sequence that progresses through addition while a geometric sequence is one that progresses upward by multiplication.

3, 8, 13, 18.. is an addition so it is arithmetic sequence because you have to add 5 constantly to find the next term.

5, 10, 20, 40,... is multiplication and so it is geometric because you multiply the previous term by a factor of 2 each time to find the next term of the sequence.

5, 10, 20, 30,... is neither both as it does not follow the ways set by the rules of geometric or arithmetic sequences.

See full question below

Drag each sequence to the correct location on the table.

Consider the given sequences. Place each sequence in the appropriate column in the table

3, 8, 13, 18,..

5, 10, 20, 40,...

2,6, 18, 54,...

5, 10, 20, 30,...

4, 8, 12, 16,...

Arithmetic

Geometric

Neither Arithmetic  nor Geometric

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A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. A graph titled comparing schools has mean class size (students) on the x-axis, and mean state test score on the y-axis. Points decrease in a line with negative slope. Which statement regarding the association shown could explain the relationship? class size appears to have little effect on test scores. Schools in more affluent areas have larger class sizes, which is associated with higher test scores. Schools in more affluent areas have smaller class sizes, which is associated with higher test scores. Schools in less affluent areas tend to have smaller class sizes, which is associated with lower test scores.

Answers

The statement that could explain the relationship regarding the association  on the scatter plot is  (c) schools in more affluent areas have smaller class sizes, which is associated with higher test scores.

From the given scatter plot (see attachment), we have the following highlights

The mean state score decreases as the mean class size increasesThe points are approximately linear, with a negative slope

The above highlights mean that:

The smaller the class size, the higher the test score.

Hence, the correct statement is (c)

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Answer:

C)Schools in more affluent areas have smallwr class sizes, which is associated with higher test scores.

Explanation:

which of the following correctly describes the main purpose of the narrative in this paragraph? developing character creating conflict creating setting resolving conflict

Answers

The main purpose of the narrative in the paragraph is;

Option A; Creating setting

In this given paragraph, the author is making use of vivid language and good imagination to carefully describe the setting of the room. This description of the setting of the room means that the reader will have  a very clear picture of what the room used as character will look like.

The definition of setting simply means the nature of the time and the place that a particular thing took place. This means setting could take the form of a bright room, a dark tunnel, a cold car e.t.c

In conclusion, what the main purpose of the narrative of the paragraph is to create a setting.

The paragraph is missing and it is found in the brainly link below.

Read more about creating setting at; https://brainly.com/question/8208753

Answer:

Creating setting

Explanation:

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