a 15.0 kg block is attached to a very light horizontal spring of force constant 575 n/m and is resting on a smooth horizontal table (figure 1). suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left.

Answers

Answer 1

The instantaneous velocity of the 15 kg. mass just after collision can be found by the principle of linear momentum.

a) The speed of the 15 kg. just after collision is 2 m/s.

b) The type of collision is inelastic collision

c) The compression of the spring is approximately 0.323 m.

Reasons:

The given parameters are;

Mass of the block attached to the spring, m₁ = 15.0 kg

Force constant of the spring, K = 575 N/m

Mass of the stone that strikes the block, m₂ = 3.00 kg

Speed of the stone, v₂ = 8.00 m/s

Speed with which the stone rebounds, v₃ = 2.00 m/s

a) The total initial momentum = 3 kg. × 8 m/s = 24 kg·m/s

The final momentum, just after collision = 3 × (-2) kg·m/s + 15 kg ×v₁

By conservation of momentum, we have;

24 kg·m/s = 3 × (-2) kg·m/s + 15 kg ×v₁

[tex]v_1 = \dfrac{24 \, kg \cdot m/s + 6 \, kg \cdot m/s}{15 \, kg} = 2 \, m/s[/tex]

The speed of the 15 kg. just after collision, v₁ = 2 m/s.

b) A collision is elastic when the kinetic energy of the collision is conserved

The initial kinetic energy, K.E.₁ = 0.5 × 3 kg. ×(8 m/s)² = 96 J

The sum of the final kinetic energy are;

0.5 × 3 kg. ×  (2 m/s)² + 0.5 × 15 kg ×  (2 m/s)² = 36 J

The initial kinetic energy ≠  The final kinetic energy

Therefore, the collision is not elastic

(c) The kinetic energy given by the block = The elastic potential energy gained by the spring

Kinetic energy of the block, K.E. = 0.5 × 15 kg ×  (2 m/s)² = 30 J

Elastic energy gained by the block = 0.5 × K × x² = 0.5 × 575 N/m × x²

Therefore;

0.5 × 575 N/m × x² = 30 J

[tex]x^2 = \dfrac{30 \, J}{0.5 \times 575 \, N/m} = \dfrac{12}{115} \, m^2[/tex]

[tex]x = 2 \cdot \sqrt{\dfrac{3}{115} } \approx 0.323[/tex]

The compression of the spring, x ≈ 0.323 m.

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Questions;

(a) The speed of the 15 kg mass immediately after the collision.

(b) Determine the type of collision; Elastic or inelastic collision.

(c) The distance to which the spring is compressed by the block.


Related Questions

rank the following in terms of increasing boiling point:

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Can I see the terms?

Solve for x. 5(x – 10) = 30 – 15x x = 1 x = 4 x = 5 x = 8

Answers

Answer: x = 4

Solving Steps:
5(x - 10) = 30 - 15x
5x - 50 = 30 - 15x
20x - 50 = 30
20x = 80
x = 4

I was a Portuguese nobleman who left Portugal in 1497, sailed around Africa, and reached India in May 1498. Who was I? Question 1 options: Pedro Cabral Vasco da Gama Ferdinand Magellan

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Answer:

vascoda do gama

Explanation:

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which excerpt from the article provides evidence that supports this claim? "the swedish academy's decision to honor dylan set off an online debate." "salman rushdie, a nobel candidate himself, called dylan ‘the brilliant inheritor of the bardic tradition.’" "dylan is of course enormously influential." "the nobel is given for a body of work."

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Answer: "Salman Rushdie, a Nobel candidate himself, called Dylan ‘the brilliant inheritor of the bardic tradition.'"

Explanation: B

write a few statements that open a file called greeting

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Answer:

Good Morning,

Good Evening,

Hope this email find you in the best of your.

Hope you are having great time

Hope you are enjoying your time

Hope you enjoying good health

What is the main idea of Taizong’s argument? A strong military benefits China. Confucius approved of warfare. Weapons and armor are tools of violence. Military force should be eliminated.

Answers

Answer:

a.

Explanation:

<3

Legal concepts in Taizong's larger political philosophy. The traditional bias in Tang historiography as a whole, which has been laudatory of Taizong's reign, has also had an impact. Thus, option A is correct.

What is the main idea of Taizong’s?

The legal ideas of Taizong were part of his larger political ideas. Additionally, it has been impacted by the long-standing favoritism of Taizong's rule in Tang historiography as a whole.

It will contend that Taizong was an emperor who cared about lawfulness, capable legal administration, and leniency in sentencing.

It is important to remember that Taizong is not particularly known for his original legal theories or for his ideological or idealistic dedication to legal reform for its own sake.

Therefore,  A strong military benefits China. Confucius approved of warfare.

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Use matrix T to find the following information. Which row contains the smallest nonzero element?

Answers

Answer:

Which row contains the smallest nonzero element?

2

What is the value of t34?  

3.8

What is the size matrix T?

5 x 5

How many elements are in matrix T?

25

Explanation:

Any element in an algebraic structure other than the zero element is referred to as a non-zero element in mathematics.

What is algebra?

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

Many students find algebra intimidating since it's the first math course they take where they have to deal with variables, abstract ideas, and problem-solving skills.

Additionally, not enough is frequently done in the classroom to relate algebra to students' daily lives and explain why it is important to comprehend.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. In algebra, we utilize integers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine integers with variables like x, y, and z.

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the advantages of electronic data interchange are no longer limited to large companies, because even small firms can exchange and process data such as orders, invoices, and payments using

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Answer:

B. An extranet

Explanation:

An extranet is a private network that uses internet access to share part of its business information or operations with customers, distributors, and so on. It grants access to customers, distributors, vendors, and so on to the network without granting them access to the entire organization's network. So data such as invoices, orders made by third parties can be done on the organization's network without giving them full access to the entire network with the help of an extranet.

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an electric ceiling fan with blades 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 1.57 rad/s. the angular acceleration is 5.65 rad/s².

Answers

The final angular velocity of the fan at the given time is 2.66 rad/s.

"Your question is not complete, it seems to be missing the following information";

Compute the fan's angular velocity magnitude after time 0.192 s has passed.

The given parameters;

diameter of the blade, d = 0.75 minitial angular velocity of the blade, ω₀ = 1.57 rad/sangular acceleration of the blade, α = 5.65 rad/s²

The final angular velocity of the fan at the given time is calculated by applying the second kinematic equation;

[tex]\omega_ f = \omega _0 + \alpha t\\\\\omega _f = (1.57) + (0.192\times 5.65)\\\\\omega _f = 2.66 \ rad/s[/tex]

Thus, the final angular velocity of the fan at the given time is 2.66 rad/s.

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which of these tools can be used to measure the mass of an object

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Balances and Scales
For the majority of everyday objects, a balance is used to determine an object's mass. The balance compares an object with a known mass to the object in question. Different types of balances include digital scientific balances and beam balances, such as a triple beam balance.

Based on the element square shown above, how many neutrons would an atom of Boron usually have? Question 5 options: 5 6 10 11

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Answer:

it is B i got it right can i get a like i just started brainly plus

Explanation:

The is designed to help increase US productivity, GDP, and employment.

Answers

Answer:

National Export Initiative

Which chemical formula represents a polyatomic ion?

Answers

Answer:CIO^-

Explanation: just took the quiz, and I got it right

Polyatomic ions describes ions which are posses more than one atom. Hence, the formula which represents a polyatomic atomic ion is [tex]SO_{4}^{2-} [/tex]

Sulphates contain both Sulphur and Oxygen atoms, hence, they contain two atoms, thus they are polyatomic.

Sulphide are represented as [tex]S^{2-} [/tex] ; containing only Sulphur atom, hence, they are mono atomic.

Chlorides are represented as [tex]Cl^{2-} [/tex] ; containing only chlorine atoms, hence, they are mono atomic.

Nitrides are represented as [tex]N^{3-} [/tex] ; containing only Nitrogen atom, hence, they are also mono atomic.

Therefore, sulphates are polyatomic as they contain more than one atom.

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The chart shows the marginal cost and marginal revenue of producing apple pies. What most likely will happen if the pie maker continues to make additional pies? The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit earned for each pie. The marginal costs will continue to fall, decreasing the total cost, while the marginal revenue remains the same, increasing the profit earned for each pie. The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, increasing the profit earned for each pie. The marginal costs will continue to fall, decreasing the total cost, while the marginal revenue remains the same, decreasing the profit earned for each pie.

Answers

If the pie maker continues to make additional pies, what would most likely happen is that: A. The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit earned for each pie.

What is law of diminishing marginal utility?

The law of diminishing marginal utility states that as the unit of a good consumed by an individual increases, the additional satisfaction he or she derives from consuming additional units of the goods would start decreasing or diminishing as the units of good consumed increases.

What is marginal revenue?

Marginal revenue can be defined as the additional amount of money that is gained (generated) by a business firm from the sales of an additional unit of a good or service.

In this scenario, the marginal costs will continue to increase, thereby, increasing the total cost while the marginal revenue would remain the same, thereby, decreasing the profit earned for each pie when additional pies are produced.

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Answer: A

Explanation: The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit earned for each pie.

right on edge

according to hund's rule, the lowest (ground) state of the silicon atom.....

Answers

Answer:

do me parese en ingles tu preguntaano entien

Explanation:

      According to Hund's rule, all electrons in singly occupied orbitals in subshells have the same spin before any particular orbital becomes doubly occupied.

Does Hund's law explain the electron configuration with the lowest energy?

       According to the Hunds Rule of Maximum Multiplicity, the term with the greatest number of electrons falls into the lowest energy range for a certain electron configuration. This rule states that p, d, and f orbital electron pairing cannot take place until each orbital of a specific subshell has one electron in it or is solely occupied.

      Think about the substance silicon (atomic symbol Si). 14 electrons, 14 protons, and (in most cases) 14 neutrons make up silicon. According to the energy diagram on the left, silicon contains two electrons in the n = 1 energy level, eight in the n = 2 energy level, and four in the n = 3 energy level in its ground state.

     Silicon's electrical structure is 1 s 2 2 s 2 2 p 6 3 s 2 3 p 2 in its ground state.

       The starting point  :The lowest energy state for an electron is called its ground state, which is the energy level it typically resides in.

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q is directly proportional to √p q = 21 when p = 9, the value of q when p =16 is

Answers

Answer:Calculate the proportional constant and then evaluate using this constant for

p

=

24

to get

q

=

20

Explanation: i no it

when trevor finished high school, he ended up working "in the hood" for a few years, instead of pursuing his education. when he looks back on why he stayed, he says, "the hood was strangely comforting, but comfort can be dangerous. comfort provides us a floor but also a ceiling." what does he mean by this? how do people get stuck doing something comfortable? what do people need to be propelled forward?

Answers

Most people are most comfortable doing what they can do easily, to the extent that they don't want to leave their comfort zone. As a result of this, people get stuck doing something comfortable when they:

Find it difficult to leave their comfort zone

Because of this, the most important thing that people need to be propelled forward is:

Motivation

According to the given scenario, we can see that Trevor was stuck with doing something comfortable after his high school, which was working in the hood which made him not to go to college.

This clearly shows that he was finding it difficult to leave what he was comfortable doing because of how easy it was for him.

As a result of this, the thing which is needed if a person wants to propel himself forward is to have the right motivation which would make him move out of comfort to do something difficult that would be ultimately rewarding.

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Maria is considering buying a television and a refrigerator for her new apartment. Her monthly budget is $200. Maria will pay an extra if she uses the rent-to-own program to buy the television, rather than waiting until she saves up enough money to pay cash for it. If she saves her money and pays cash, she can purchase a refrigerator in .

Answers

Answer:

Explanation:

Maria will pay an extra amount of $924 to &951  to buy the television, rather than waiting until she saves up enough money to pay cash for it.

If Maria saves her money and pays cash, she can own a refrigerator in 4 months.

There are 52.3 weeks in a year, and depending on when she buys it, she can manage to make 52 or 53 payments that would make a total of $1404  a year or $1431  a year, if paying cash is $480, the difference would be either $924 or $951.

The refrigerator costs $800 and with the budget, she has a month, she can buy one after 4 months.

4 months at $200 a month= $800

Answer:

1. $924

2. 4 months

Explanation:

Here are the answers, I'm not gonna leave some long boring answer, when I know what ya'll need.

consider equimolar samples of the same ideal gas at the same volume, but different temperatures. sample c is at a higher temperature than sample d.

Answers

Answer:

The question is incomplete.

This is the complete question:

Consider equimolar samples of different ideal gases at the same volume and temperature. Gas A has a higher molar mass than gas B.

Compare the pressures. Compare the rms speeds. Compare the average kinetic energies.

Answer:

pressure: A = B

RMS: A < B

kinetic energies: A = B

Explanation:

1) Pressure:

You can deal with this part of the question on the basis of Avogaro's principle which stated that equal volumes of gases at same temperature and pressure have the same number of particles (molecules).

Also, kinetic theory of gases postulates that the particles of gas are quited separated and in consequence the volume occupied by the particles of a gas is meaningless and does not influence the total volume occupied by a fixed number of particles.

Also, you can use the equation of ideal gases pV = nRT, from which p = nRT/V. if n, T, and V are fixed, then p is fixed.

The three approaches leads to the same conclusion.

Then, pressure of gas A is equal to pressure of gas B.

2) RMS

RMS stands for root mean square speed.

It is the room mean square speed of the particles of a gas.

the RMS is related with the temperature of the gas and the molar mass per this equation:

RMS = √(3RT/M), where R is the universal constant of gases, T is the absolute temperature and M is the molar mass.

Then, the greater the molar mass, the lower the RMS, which permits you conclude that the RMS of gas A is less than the RMS of the gas B.

3) kinetic energy

Temperature is a measure of the kinetic energy.

Equal temperatures of the gas means equal kinetic energies.

The Kinetic Molecular Theory states that the average energy of molecules is proportional to absolute temperature.

So, you conclude that the same amount of gases, at the same temperature, contain equal kinetic energies.

Which NGO supports small-scale farmers in developing countries and the USA by providing livestock and business support to make farming profitable? UNICEF Doctors Without Borders Heifer International the World Health Organization (WHO)

Answers

The non-governmental organization (NGO) which supports small-scale farmers in developing countries and the USA by providing livestock and business support to make farming profitable is: C. Heifer International.

Heifer International is a global non-governmental organization (NGO) that was found in 1944 by Dan West.

It is a non-profit or charitable development organization with its headquarter in Little Rock, Arkansas, United States of America.

The main purpose of Heifer International is to provide support for small-scale farmers living in developing countries and the United States of America include the following:

Providing livestock for the populace.Providing financial supports for farmers.Making farming profitable for the farmers.Eradicating poverty and hunger.

In conclusion, Heifer International provides livestock and business support for small-scale farmers in developing countries and the United States of America.

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Answer:

Heifer International

Explanation:

Which answer does NOT correctly describe the graph of y = 5x 12?

Answers

The y intercept of the graph will be 12 you will go up 5 and right one for each point choose the one that’s doesn’t do that or put a picture in your question so I can have more information

Which region had the greatest growth in percentage of households with a computer between 2008 and 2018? Africa Asia Western Europe the Americas

Answers

Answer:

Which region had the greatest growth in percentage of households with a computer between 2008 and 2018?

C: Western Europe

Explanation:

Between 2008 and 2018, the region with the greatest growth in the percentage of households with a computer was Asia.

What is personal computer?

A personal computer (PC) is a microcomputer designed for single-user use.

Prior to the PC, computers were designed for and only affordable for businesses that connected multiple terminals to a single large mainframe computer whose resources were shared by all users.

According to International Telecommunication Union (ITU) data, the percentage of Asian households with a computer increased by 122% from 20.6% in 2008 to 45.9% in 2018.

In comparison, Africa increased from 4.2% to 11.5% (a 173% increase), Western Europe increased from 68.6% to 84.5% (a 23%), and the Americas increased from 44.9% to 65.6% (a 46%).

Thus, the answer is Asia.

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in the following poem by gregory pardlo (published in 2007), the speaker describes watching children playing double dutch—a version of jumping rope in which two ropes are turned in opposite directions. read the poem carefully. write a paragraph in which you make a defensible claim regarding how pardlo uses simile and metaphor to convey a complex image of the girls. in your paragraph, you should incorporate at least one piece of evidence from the text to support your claim.

Answers

Answer:

i need poins

Explanation:

please

the discovery, collection, and analysis of evidence found on computers and networks.

Answers

Answer:

Digital forensics

Explanation:

The discovery, collection, and analysis of evidence found on computers and networks is Digital Forensics

Digital forensic is the discovery, collection, and analysis of evidence found on computers and networks.

What is digital forensic?

A subfield of forensic science called "digital forensics" deals with recovering, looking into, looking at, and analyzing data discovered on digital devices, frequently in connection with mobile devices and computer crime.

They are the ones who gather, prepare, keep, and examine data-related evidence. They assist in locating network weaknesses and creating countermeasures.

A subfield of forensic science called "digital forensics" is dedicated to finding, obtaining, processing, analyzing, and documenting electronically stored material.

Nearly all illegal acts involve the use of electronic evidence, making digital forensics support essential for law enforcement investigations.

Thus, the discovery, collection, and analysis of evidence found on computers and networks is digital forensic.

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Fill in the blank with the correct imperfect conjugation of the verb in parentheses. Ella ____ a asistir a la clase pero no fue. (ir) va iba fue veía

Answers

The correct imperfect conjugation of the verb 'IR' is 'Ella IBA a asistir a la clase pero no fue'.

IR is a Spanish verb that means 'to go'. It is one of the most usually used verbs in Spanish.

This Spanish verb (ir) is irregular in the imperfect.

To form the imperfect tense of 'ir' verb takes off the -ir ending and adds the endings: -ía, -ías, -ía, -íamos, -íais, -ían.

For example:

Tú ibas (you were going)Ella iba (she went)Nosotros íbamos (we were going)

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Answer:

B

Explanation:

which of the promises to settlers listed in the infographic did not appear in the bill of rights?

Answers

The Bill of Rights are firs ten amendments to the United States Constitution which guarantees certain rights to the American public.

As a result of these, there were several promises made to the settlers by the patriots who drafted the BIll of Rights and the Constitution. Some of them include:

There would be freedom to practise whatever religion they wanted toThere would be fair punishment for any crimeThere would be a right to fair trial by a jury for any accused, etc

However, one of the promises which was not a part of the Bill of Rights was the end of slavery, however, it was stated that everyone was equal

Please note that you did not add any infographic so i cannot help much, except give a general overview which should help you.

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Which are parts of an effective argument? Choose three answers. a claim unreliable sources evidence biased opinions a counterclaim a bibliography

Answers

Answer:claim, counterclaim, and evidence

Explanation: it’s obvious

zeb is a retail store employee. he organizes merchandise and will answer customer questions. recently, his boss gave him the additional responsibility of ensuring that the inventory requested from the manufacturer arrives as ordered, then entering that order into the computer, ticketing the merchandise with the appropriate price tag, and being responsible for getting it out to the floor. this is an example of job

Answers

The scenario described highlights a considerable increase in the number of job responsibilities zeb is expected to carryout. Hence, this is an example of job enlargement.

When an employee is given additional tasks to perform which isn't part of his normal or initial responsibilities.

In the scenario, Zeb has seen a considerable increase in the duties he his to perform in addition to being a reteil store employee.

Therefore, Zeb's job has been increased due to the additional responsibilities he has been charged with. Hence, his job has been enlarged.

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the half life of radium-226 is 1600 years. after how many half-lives would 25% of the radium-226 remain?

Answers

Answer:

400

Explanation:

the magnitude of a vector can never be less than the magnitude of one of its components.

Answers

Answer:

True

Explanation:

The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The eastward component of vector A is equal to the westward component of vector B and their northward components are equal.

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