A 1. 80-kg block slides on a rough, level surface. When it is traveling at 2. 00 m/s, the block hits a linear, ideal spring and compresses it by a distance of 11 cm before (momentarily) coming to rest. The coefficient of kinetic friction between the block and the surface is 0. 56. What is the force constant of the spring?.

Answers

Answer 1

Use the work-energy theorem.

The total work W performed on the block is done by friction and the restoring force in the spring, both of which oppose the block's motion. By Newton's second law,

• the net horizontal force on the block is

∑ F (hor) = -f - s = ma

where f = magnitude of friction, s = mag. of restoring force, m = 1.80 kg, and a is the acceleration of the block; and

• the net vertical force on the block is

∑ F (ver) = n - mg = 0

where n = mag. of normal force.

It follows that

n = mg   ⇒   f = 0.56n = 0.56mg

and so the work done by friction as the spring is compressed by 11 cm = 0.110 m is

W (friction) = -0.56mg (0.110 m) = -1.09 J

The work done by the spring as it compresses is

W (restoring) = -1/2 k (0.110 m)²

where k is the spring constant.

Then the total work is

W = -1.09 J - 1/2 k (0.110 m)²

By the work-energy theorem, this work is equal to the change in the block's kinetic energy,

W = ∆K

Since it comes to a stop, we have

∆K = 0 - 1/2 mv² = -1/2 (1.80 kg) (2.00 m/s)² = -3.60 J

So, we have

-1.09 J - 1/2 k (0.110 m)² = -3.60 J

and solving for k gives

k = (-3.60 J + 1.09 J) / (-1/2 (0.110 m)²)

k ≈ 415 N/m


Related Questions

Which of these practices describe how producers in oligopolies.

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Answer:

Collusion and Competition

What is the ground-state electron configuration of o2−?.

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Ground-state means that the element is in its lowest energy form (not in excited state). Neutral oxygen means it has no charge, meaning no electrons are removed or added in the atom. Therefore, the electron configuration for O2- is O2-: 1s22s22p6.

A security team is working with a client to evaluate the security of data and it functions that are most critical to the operation and success of their organization.

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The three (3) security goals that would align and prioritize security efforts to the business goals of an organization are:

1. Confidentiality

2. Integrity

3. Availability

A security goal can be defined as both the short-term and long-term strategic objectives that detects and protects the assets of a business organization from theft or misappropriation by any internal or external party.

This ultimately implies that, it is very important that security goals of a business organization are aligned with its business goals.

Generally, there are three (3) main security goals for all business organizations and these include:

Confidentiality: the confidentiality of all data and assets should be well protected.

Integrity: the integrity of all data and assets should be preserved.

Availability: all data and assets should be provided for authorized use only.

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When i get multiplied by any number, the sum of the figures in the product is always me. What am i?.

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Answer:

sorry I cannot answer your question I'm just commenting for points

A hot air balloon exerts a force of 1200 newtons while lifting a load of 800 newtons. Which free-body force diagram depicts the forces involved?.

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Answer:

the force is called electrostatic force

Identify the organs of digestion being described select your answer from the list.

Answers

Answer:

stomach

Mouth

esophagus

small intestine

Large intestine

1. a long coiled connected from the stomach.

2. a long muscular tube that connects the pharynx to the throat to

the stomach.

3. a large J-shaped organ at the end of the esophagus, on the left

side of the body.

4. Is the first part in the digestive system composed of teeth and the

Explanation:

To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year. Which type of statistical study is the school conducting?.

Answers

The type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

Prospective Observational Study is a type longitudinal observational study where the research does not manipulate the research subjects but simply observe and collect data of the research subjects as their characteristics changes over time going forward.

Therefore, the type of statistical study that the school is conducting can be referred to as: a Prospective Observational Study.

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In casting experiments performed using a certain alloy.

Answers

Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds

PLEASE HELP ASP

Define the following
• Self-evaluation
• Personal skills
• Personal qualities

Answers

Answer: Let me help you with this one.

Explanation:

Self evaluation is a personal inspection, in which you check your physical mental and spiritual states, to make sure you are doing fine.

Personal skills are attributes you have in particular that can show specific prowess or an aid to eachother.

Personal qualities are traits that are used for how you qualify yourself on a level of it.

Which of the following describes behavioral genetics?.

Answers

Genetics is known to be a broad topic that covers all aspect of human behavior.  The statement that describes behavioral genetics is that the study of genetic characteristics on behavioral expressions.

Behavior genetics is commonly described as psychogenetic. This is simply known to be the study of the effect of an organism’s genetic composition on its behavior.

It also look at the relationship that exist between heredity and environment  as it influence behavior. By careful study of genetic influence, one can know how the environment operations influence behavior.

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If a recessive allele helps an organism reproduce but a dominant allele hinders reproduction, which will become more prominent over time?.

Answers

It is expected the recessive allele becomes more prominent over time.

In general, nature favors traits that help organisms survive and reproduce. This occurs through a process known as natural selection that helps the population to evolve to have favorable traits.

This evolution occurs externally as organisms change their physical traits or phenotype, but also at a genetic level.

This implies that even if a trait is genetically dominant if the trait does not favor survival and reproduction, this trait will slowly disappear or reduce over generations.

Based on this, the recessive allele will become more prominent because this trait favors reproduction, while the dominant allele will become less prominent.

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Which citation is formatted correctly using mla guidelines? barrett, leigh. Snow removal woes. "hartford times-dispatch" 12 january 2012: b12. Print. Barrett, leigh. Snow removal woes. Hartford times-dispatch, metro section 12 january 2012: b12. Barrett, leigh. "snow removal woes. " hartford times-dispatch 12 january 2012: b12. Print. Barrett, leigh. "snow removal woes. " hartford times-dispatch, metro section 12 january 2012: b12.

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The citation that is formatted correctly using MLA's guidelines is;

Barrett, Leigh. "Snow Removal Woes." Hartford Times-Dispatch 12 January 2012: B12. Print.

MLA simply means Modern Language Association. This is a format that states that when citing a newspaper article, we must write in the following order;

Write the author's last name. Write his first nameWrite the title of the article. Write the newspaper title. Write the name of the city. Write the date and month and year of publication, and print.

The only option that follows this MLA format guidelines correctly is;

"Barrett, Leigh. 'Snow Removal Woes.' Hartford Times-Dispatch 12 January 2012: B12. Print.".

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Answer:

ccccccc

Explanation:

ccccccc

The respiratory system of an elephant functions in a similar way.

Answers

Answer:

The organelle in a single-celled organism which performs gaseous exchange like the respiratory system of an elephant is the plasma membrane.

The respiratory system of elephant functions in a similar way The organelle in a single-celled organism which plays gaseous change just like the respiration machine of an elephant is the plasma membrane.

What is The respiration system?

In animals is concerned in gaseous change. During animal respiration, oxygen is taken in and carbon dioxide is launched in conjunction with molecules of ATP.

In a single-celled organism, the plasma membrane is concerned in gaseous change with the outside simply because the respiration machine of the elephant does.

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Which of the following is influenced by personal economic choices? choose four answers. The cost of your rent and utilities the resources you have available the amount of money you spend on a bus pass the money you decide to spend on leisure products the amount of money you put into your savings account the manner in which you balance your time between work and leisure.

Answers

People are known to make different choices. The options that is influenced by personal economic choices are;

The resources you have available The money you decide to spend on leisure products The amount of money you put into your savings account The manner in which you balance your time between work and leisure.

Choice is simply known as to the ability of a consumer or producer to say or decide the type of good, service or resource, they want to purchase or state their preference.

Economic decisions are referred to as those decisions or choices that people, country etc., have to make about what they should do in a condition of scarcity.

Personal Economic Decisions is simply referred to as when individuals make economic decisions or choices on a regular basis.

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Answer:

B, D, E, and F in short. Credits to the people who answered before me:)))

Explanation:

Line segment ab is a tangent to circle o at point b. Which type of triangle is always formed when points a,b and o are connected?.

Answers

The type of triangle is always formed when points a, b and o are connected is a right angled triangle.

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, equilateral, isosceles, right angled triangle.

A right angled triangle is a triangle in which one angle measures 90 degrees.

The angle between a tangent and radius is 90 degrees.

The type of triangle is always formed when points a, b and o are connected is a right angled triangle.

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In which year did the inca wayna capac die of smallpox? around 1527 around 1529 around 1530 around 1532.

Answers

Inca Wayna Capac died of Smallpox around 1527. He was the ruler of the

Inca Empire between 1493- 1525.

Wayna Capac traveled to the North region of Quito. He contracted the

disease known as smallpox. The disease came from Europe through

Spanish travelers . This was the period with high prevalence in which

millions of people were killed.

Although the vaccine was later made around 1977 , Inca Wayna Capac

died around 1527.

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Answer:

the answer is A) around 1527

Explanation:

How much heat must be removed from 456 g of water at 25.

Answers

Answer: 208.9k
Hope this helps!

How does douglass appeal to the audience’s sense of logic in the excerpt? by using his own personal experiences to gain their trust by recounting emotional events to evoke sadness by explaining the reasoning behind his argument by describing how he plans to effect change in the us.

Answers

Answer:

Explanation:

need help

Answer:

B. by recounting emotional events to evoke sadness

Explanation: I got it right

What change in a population would you expect to see if a selection pressure was against the trait of a dominant allele in that population?.

Answers

Answer:

The change in population in the given condition would be an increase of true recessive traits in the population and there would be only a few individuals with dominant traits.

In case of selection pressure was against the dominant trait, then individuals of the population who have true recessive alleles would have an advantage over the heterozygous and dominant individuals of the population.

There would be very few individuals carrying its dominant genotype and it may eventually be extinct, however, it would be still dominant. The recessive trait would just become more prominent rather than becoming dominant.

Thus, the number of recessive traits would increase in population, and the number of dominant decrease to numbers.

Explanation:

How many grams of lead product would theoretically be produced between 17. 0 g potassium iodide, ki, and 25. 0 g of lead (ii) nitrate, pb(no3)2?.

Answers

The number of grams of lead product that would theoretically be produced from the given reaction is; Mass of lead product = 23.6 g

Potassium iodide reacting with Lead(II) Nitrate would yield the balanced equation;

2KI + Pb(NO₃)₂ = 2KNO₃ + PbI₂

2moles : 1 mole = 2 moles : 1 mole

From online tables;

Molar mass of KI = 166 g/mol

Molar mass of Pb(NO₃)₂ = 331.2 g/mol

We are given;

Mass of KI = 17 g

Mass of Pb(NO₃)₂ = 25 g

Thus;

Number of moles of PbI₂ yielded in order to find the limiting reactant will be;

no of moles of PbI₂ from KI = (17g/166 g/mol) × (1 mole of PbI₂/2 mol of KI)

no of moles of PbI₂ from KI = 0.0512 mols

Similarly;

no of moles of PbI₂ from Pb(NO₃)₂ = (25g/331.2 g/mol) × (1 mole of PbI₂/1 mol of Pb(NO₃)₂)

no of moles of PbI₂ from Pb(NO₃)₂ = 0.0755 moles

We can see that KI produced the least amount of moles. Thus;

Mass = 0.0512 * molar mass of  PbI₂

From tables, molar mass of  PbI₂ = 461 g/mol

Thus;

Mass of lead product = 461 * 0.0512

Mass of lead product = 23.6 g

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Which statement best summarizes brown’s message in this essay?.

Answers

Answer:

where the essay?

Explanation:

Which two characteristics are shared by all thunderstorms, tornados, and hurricanes? clouds and wind eyes and clouds warm, dry air and wind large waves and warm, dry air.

Answers

Answer:

Clouds and wind

Explanation:

A on EDGENUNITY

Clouds and wind eyes are characteristics are shared by all thunderstorms.

What is Thunderstorms?

A thunderstorm is a downpour of rain accompanied by thunder. Since lightning produces thunder, all thunderstorms contain lightning.

The afternoon and evening hours in the spring and summer are when thunderstorms are most likely to occur, however they can happen at any time of day.

The majority of thunderstorms happen in the afternoon in the Gulf Coast and throughout the southeastern and western regions. In the Plains states, thunderstorms usually develop in the late afternoon and at night.

Therefore, Clouds and wind eyes are characteristics are shared by all thunderstorms.

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What spell would newt scamander have used to make his case big enough.

Answers

The Magizoologist in Harry Potter is a man called Newton Scamander. The spell that Newt Scamander can use to make his case big enough is Extension Charm or Capacious extremis.

Capacious extremis when translated means capacity and spacious. This spell helps wizard or witch to alter small enclosures such as like bags and making all kinds of extra invisible space within them.

The Magizoologist Newton Scamander was known to have a magical suitcase that was bewitched with an Undetectable Extension Charm.

He placed a lot of magical beasts while inside it as he traveled.

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What are the equations of the asymptotes of the hyperbola? (y+4)236−(x−6)249=1 enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

The point slope form of the asymptote of the hyperbola is; y - 4 = ±(6/7)(x - 6)

We are given the equation of the hyperbola as;

[(y + 4)²/36] - [(x - 6)²/49] = 1

We can rewrite this equation as;

[(y + 1)²/6²] - [(x - 6)²/7²] = 1

The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

Comparing this general form to our given equation we can see that;

k = -4

h = 6

a = 6

b = 7

Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

Plugging in the relevant values gives us;

y = ±(6/7)(x - 6) - 4

>> y - 4 = ±(6/7)(x - 6)

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Answer: y+4=±6/7(x−6)

Explanation: I just took the test. This is the right answer.

Deanna is a new medical assistant in the office in which you work. She does not understand the matrix for making appointments. On her second day at work, she is on her own to make appointments, because the person who usually makes appointments is out with a sick child. Deanna makes two appointments in each slot as she did in her previous place of employment instead of the one that should have been made using the matrix. How will this affect the patients who are being seen for the next few days? what will this mistake do to public relations in the office?.

Answers

Based on the information given, the impact of the appointments made will be that the slot time will be changed or there'll be an increase in the waiting time.

From the information given, Deanna should have made one appointment but rather, she made two appointments. This will lead to an increase in the waiting time for the other patients.

The impact of the mistake on public relations in the office is that it will lead to delay in services and a poor guidance system.

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Which is the correct way to write the underlined portion of the following sentence? the students hoped to quickly finish the test so they would be able to work cooperatively on their projects.

Answers

No part of this is underlined but I believe it should read: the students hoped to finish the test quickly, so they would be able to work cooperatively on their projects.

The cost of mailing a first-class letter is $0. 46.

Answers

Answer:

Explanation:

If y is the total cost to mail a letter, that is what your equation should be set equal to.  

y = _________

Then, just to be able to send the letter, you have to pay .46 before you even weigh it.

y = 0.46 + _____

Finally, you can weigh your letter to determine how much more you'd have to pay (it wouldn't be fair if a 1 ounce letter and a 5 pound letter costed the same!). The problem gives you the variable for ounces, so you would do

price x ounces.

y = 0.46 + 0.20x

(I'm not sure what the name of the equation is, but it is in y = mx + b form. I believe it is "slope intercept"? That should be somewhere in your notes. Hope this helps :) )

Which of the following is not a characteristic of the sampling distribution of sample means (the means of all possible samples of a given size)?.

Answers

Answer:

The mean is zero and standard deviation is one. Not standard sample

Skye listed her assets and liabilities on a personal balance sheet. Skye’s balance sheet (april 2013) assets liabilities cash $1,000 credit card $4,000 investments $1,000 student loan $1,000 house $200,000 mortgage $100,000 car $8,000 car loan $5,000 total ??? total ??? net worth: ??? what is skye’s net worth? $100,000 $110,000 $210,000 $320,000.

Answers

Answer:

A. 100000

Explanation:

Skye listed her assets and liabilities on a personal balance sheet $100,000.

What is Balance Sheet?

An organization's assets, liabilities, and shareholder equity are listed on a balance sheet, which is a financial statement. One of the three primary financial statements used to assess a company is the balance sheet.

It offers a snapshot of the assets and liabilities of a corporation as of the publication date.

The assets on the balance sheet are equal to the total of the liabilities plus the shareholders' equity. Financial ratios are computed using balance sheets by fundamental analysts.

Therefore, Skye listed her assets and liabilities on a personal balance sheet $100,000.

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Which scenario can be represented using the inequalities below? 1. 25 < x < 1. 5 a container of milk costs at least $1. 25 but less than $1. 50. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework. A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%. The point value of a test item is more than 1. 25 points and less than 1. 5 points.

Answers

Answer:

Explanation:22

Holle i mean I mean I mean hello
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