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.
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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Which is a type of heat transfer that causes the air at the top floor.
Explanation:
Convection is the the transfer of heat my the physical movement of hot masses of air. As air is heated, it expands (as do all objects). As it expands, it becomes lighter then the surrounding air and it rises.
With the use/abuse of alcohol the heart is less efficient.
Answer:
Explanation:
because it is overloading the heart with a non regular item.
what viewpoint is conveyed by sophocles through the following lines spoken by antigone to creon regarding his decree that she disobeyed? creon. didst thou, then, dare to disobey these laws? antig. yes, for it was not zeus who gave them forth, nor justice, dwelling with the gods below, who traced these laws for all the sons of men; nor did i deem thy edicts strong enough, coming from mortal man, to set at naught the unwritten laws of god that know not change. the government is always the highest law of the land. religious law is above or greater than man's law. the laws of the government are sometimes correct and sometimes incorrect. one must be willing to accept punishment for breaking laws.
There are different kinds of laws. The viewpoint that is conveyed by Sophocles through the following lines spoken by Antigone to Creon regarding his decree that she disobeyed is that religious law is above or greater than man's law.
In the text, we can see Creon emphasizes on the unwritten laws of gods that know not change. She is trying too acknowledge the fact that the laws of the gods are greater than man's law and cannot be altered for any thing at all.The Antigone is known too be a tragedy play that was written by the ancient Greek playwright called Sophocles. It was known to be written around 442 BCE.
The play centers around Antigone’s burial of her brother Polynices (Polyneices), after defying the laws of Creon and the state, and the outcomes of her act of civil disobedience.
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What happens when the barrel goes over the waterfall?.
the barrel will crash down
What is the central idea of this passage sundays are days of rest and ceremony on the farm.
Answer:
A
Explanation:
If you don't sleep enough at night you will be very ____ in the morning.
Answer:
cansado
Explanation:
If you don't sleep enough at night, you will be very cansado (tired) in the morning.
Which describes an example of using unsecured credit?.
Answer:
An example of it is that someone buys new gutters for a home with a credit card. That a simple way to explain it and the answer should be about it xd
Explanation:
which interest group is an example of a single-issue interest group? everytown for gun safety national league of cities center for health & gender equity american civil liberties union (aclu)
Answer:
everytown for gun safety
Explanation:
got it right on edge 2021
It should be noted that the interest group is an example of a single-issue interest group is everytown for gun safety
According to the question, we are to discuss interest group and how it works and the example.
As a result of this we can discuss Interest group as special interest groups that are set up for various forms of advocacy so they can influence public opinion.
Therefore, everytown for gun safety serves as example of a single-issue interest group.
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Which is the best inference from the author's statement that world war ii ""ended the great depression""? the best inference from the author's statement is that.
Answer:i think
Explanation:
Answer:
The increased production needed to support the war effort created additional jobs for those who were unemployed.
Explanation:
Iq is determined by brainly.
Answer:
False
Explanation:
Intelligence Quotient (IQ) is a number representing a person's reasoning ability. It's determined by dividing a person's score on a special test by his or her age, then multiplying by 100
Answer:
false
Explanation:
have a good night :)
Quantities that can be described completely by their magnitude or size are called vector quantities.
In physics, there are two types of quantities
Scalar quantityVector quantityScalar quantities are quantities that have magnitude but no direction. Examples of such quantities include speed, pressure, etc
Vector quantities are quantities that have both magnitude and direction. Examples of such quantities include velocity, acceleration etc.
Vector quantities are represented by an arrow over the position of the object to denote its direction.
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Complete the equation of the line through (-9 7) and (-6 -3).
Why did the elephant jump up and down riddle answer.
Explanation:
because he was thirsty?
or was he doing some exercise?
><
Answer:
Because he saw a mouseExplanation:
Well first of all, the elephant can't jump... so yeah... the questions itself is WRONG
Abrir abro, abris, abri, abrimos, abrís, abrin abro, abres, abre, abrimos, abrís, abren abro, abras, abra, abramos, abrís, abran abro, abres, abre, abremos, abrís, abren.
Answer:
Hi
Explanation:
Sorry but I don't understand what you are asking, is there any way you could elaborate??
Which of the following statements regarding the moon and earth is correct.
Answer:
please the question is choice or what
Answer: Earth and the Moon are nearly the same age.
Explanation:
why is the standard deviation preferable to the range as a measure of variation?
Answer:
Explanation:
The standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
what is the effective nuclear charge for a 2nd row electron in sulfur?
Sulfur valence electrons have an effective nuclear charge of +6.
What are effective nuclear charge?Effective nuclear charge is defined as the true positive nuclear charge that an electron in a multi-electron atom experiences. Electrons and protons are the two elements that cause the effective nuclear charge to rise. Zeff = Z - S is the actual nuclear charge.
A sulfur second row electron's effective nuclear charge is 14. Since sulfur contains 16 protons, or 16 atomic numbers, we know that there are 2 electrons in its first shell or orbit, which due to its rapid speed creates a shielding effect.
Thus, sulfur valence electrons have an effective nuclear charge of +6.
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Select the correct answer. Which is a feature of a roth ira? a. You must pay tax if you withdraw your earnings once you're 59. 5 years old. B. You can withdraw your earnings once you're 59. 5 years old but must pay a penalty. C. You can withdraw your earnings once you're 59. 5 years old without paying a penalty.
I think the answer is C
you can withdraw your earnings once you're 59. 5 years old without paying a penalty
a system absorbs 52 joules of heat and does work using 25 joules of energy. what is the change in the internal energy of the system? 25 joules 27 joules 52 joules 77 joules
The change in the internal energy of the system is 27 joules
From the question given above, the following data were obtained:
Heat absorbed (Q) = 52 JWork (W) = –25 J (since work is done by the system) Change in internal energy (ΔU) =?The change in the internal energy of the system can be obtained as follow:
ΔU = Q + W
ΔU = 52 + (–25)
ΔU = 52 – 25
ΔU = 27 J
Therefore, the change in the internal energy of the system is 27 J
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Answer:
27 J
Explanation:
The ratio between the amounts of muscle on your body to the amount of fat on your body is called.
Answer:
The ratio between the amount of muscle on your body to the amount of fat on your body is called. Body composition
What must a scientist do in order to develop a testable hypothesis brainly.
Answer: The correct answer is D. Ask a question that can be answered by making observations.
Explanation:
Basically, in order to develop a testable hypothesis, scientists must adhere to the guidelines of the scientific method.
The scientific method is usually understood to be a so-called hypothetical-deductive method, the core of which is to make hypotheses based on observations or measurements, to make predictions based on them and to check the validity of predictions by repeated experiments. More generally, the scientific method is a general way of obtaining solid knowledge, using many means of proof, both empirical and theoretical, to achieve certainty. The scientific method is a widely recognized tool in the scientific community for seeking objectivity, reliability and transparency in research.
Kendra wants to write an opinion piece about her favorite food.
How should she organize her essay?
A. Group her reasons into paragraphs.
B. Explain all her reasons in the introduction.
C. Put her details in one paragraph and her reasons in another paragraph.
D. Put her topic in one paragraph and state her opinion in another paragraph.
Answer:
A
Explanation:
Grouping her reasons into paragraphs makes the most sense. Its more organized compared to the other options.
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. Y = x squared + x + 6 a. (0. 5, -5. 75) c. (-0. 5, 6) b. (-0. 5, 5. 75) d. (0. 5, 5. 75).
Which statements justify that the dilation of triangle stu is an enlargement increasing its size by the magnitude of the scale factor? select two options. The triangle pre-image is closer to the point of dilation than the image. The triangle image is closer to the point of dilation than the pre-image. The value of the scale factor, , is between 0 and 1. The value of the scale factor, 6, is greater than 1. The vertices of the pre-image are collinear with the vertices of the image.
There are different ways to justify a statement. The statements that justify that the dilation of triangle STU are:
The triangle pre-image is closer to the point of dilation than the image.The value of the scale factor, 6, is greater than 1.DilationDilation is simply known as a process that is often employed for producing similar figures. All the point is said to be stretched outwards from the center point and it is then multiplied by the distances by the scale factor.
A dilation is also known to be a type of transformation that makes bigger or reduces a figure. (This is called the preimage). With this process, a new figure or image is created or produced.
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Answer:
The triangle pre-image is closer to the point of dilation than the image.
The value of the scale factor, 6, is greater than 1.
Explanation:
just did it
While on vacation in guadalajara, you are shopping downtown and notice the following sign hanging in a store window. What type of store is this? clothing store candy store jewelry store show store.
Answer:
Jewellery Store
Explanation:
pls mark me as brainliest!!
Answer:
Jewellery Store
Explanation:
Jewellery Store
Three people made the diagrams above to show what they think the moon looks like when it is seen from above (top view). In these diagrams, the sunlight is coming from the left, as shown by the arrows. Which diagram is accurate and why?.
When a diagram or a technical drawing is made, it can be either in three-dimensional mode (3D) or two-dimensional mode (2D) and can be viewed in different ways depending on the perspective.
With this in mind, there are different ways of viewing a drawing or diagram and they include:
Top ViewSide ViewFront View, etcPlease note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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Answer:c
Explanation:
Reread the following quotation from paragraph 75: "oh god! to hear the insect on the leaf pronouncing on the too much life among his hungry brothers in the dust!" which of the following best states what this quote reveals about the ghost of christmas present's and scrooge's differing points of view?.
There are different kinds of quotes. The option that best state what this quote reveals about the Ghost of Christmas Present’s and Scrooge’s differing points of view is;
It suggests that the spirit believes Scrooge is oblivious to his own suffering, like an insect that does not know what lies beyond its small environment.
The Ghost of Christmas Present is known to be a fictional story about a Christmas Spirits who visited Ebenezer Scrooge in the 1843. The aim was to offer him an opportunity for redemption.
People sometimes do not know what they are passing through. Scrooge wanted a change and as such was visited by three spirits. They made him realize things he had forgotten about himself.
See full question below
Reread the following quotation from paragraph 75: “Oh God! to hear the Insect on the leaf pronouncing on the too much life among his hungry brothers in the dust!” Which of the following best states what this quote reveals about the Ghost of Christmas Present’s and Scrooge’s differing points of view?
A. This reveals the spirit’s low opinion of Scrooge, who has a high opinion of his own status.
B. This reveals the spirit considers Scrooge and other humans to be insects in comparison to his power and wisdom.
C. This quote suggests that the spirit believes Scrooge is oblivious to his own suffering, like an insect that does not know what lies beyond its small
environment.
D. This quote recalls Scrooge’s earlier words in favor of the poor dying off to lower the population; the spirit puts Scrooge in his place, revealing that while Scrooge may consider himself above others, the spirit knows to value the lives of other Beings.
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Since customers who go to retail stores often know what they want or have a purpose to being at the store in the first place, sellers do not have to do much in the b2c selling environment.
Answer:
Explanation:Prospecting or qualifying
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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