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.
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.
Give at least one short-term goal (something you would like to accomplish by the end of the second nine weeks).
Give at least one long-term goal (something you would like to accomplish by the end of the school year).
How do you plan to achieve these goals?
Answer:
choose your own goals not someone elses just tell what you want to achieve in life
Explanation:
Answer:
nice
Explanation:
You need to be sure of your goals are
Which statements describe the electron sea model? Check all that apply. Electrons all have approximately the same energy. Electrons move among orbitals of different energies. Electrons move freely among atoms (delocalized).
The electron sea model shows that electrons move freely among atoms (delocalized).
Metals are made up of atoms which has an array of positive ions in a sea of electrons.
The electrons can move freely within metal by detaching itself from its parent atom. Hence the electrons are said to be delocalized.
The electron sea model shows electrons on the surface of a metal being able to move freely from one atom to another.
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A. Electrons all have approximately the same energy.
C. Electrons move freely among atoms (delocalized).
The next answer is
B. Electrons move among orbitals of different energies.
C. Electrons move freely among atoms (delocalized).
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a manager is going to purchase new processing equipment and must decide on the number of spare parts to order with the new equipment. the spares cost $200 each, and any unused spares will have an expected salvage value of $50 each. the probability of usage can be described by the following distribution: number 0 1 2 3 probability .1 .5 .25 .15 if a part fails and a spare is not available, two days will be needed to obtain a replacement and install it. the cost for idle equipment is $500 per day. what quantity of spares should be ordered and what is the corresponding expected cost?
Answer:
It will cost the manager $750
Explanation:
which essential urban need was met by this structure
Answer:
Clean waterExplanation:
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which event appears to foreshadow future conflict? which prediction is best supported by the foreshadowing in the passage?
Answer: the milk has disappeared & a conflict over resources will begin
Explanation:
I took the test
The event that appears to foreshadow future conflict and the prediction that is best supported by the foreshadowing in the passage are respectively;
i. The milk has disappeared.
ii. A conflict over resources will begin.
George Orwell's Animal FarmThis question is taking from the book Animal Farm by George Orwell. The passage is after the answer below;
From the passage seen online, we see the event that Napoleon is trying to prevent being that milk could disappear later because the last part of the passage says that when they came back in that evening it was noticed that the milk had disappeared.
Secondly it is clear that the prediction from the foreshadowing event is that a conflict of resources will begin.
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what are some thing anxiety and depression affect people really bad
Answer:
Everyone has anxiety from time to time, but chronic anxiety can interfere with your quality of life. While perhaps most recognized for behavioral changes, anxiety can also have serious consequences on your physical health. If it gets too intense, however, you might start to feel lightheaded and nauseous. An excessive or persistent state of anxiety can have a devastating effect on your physical and mental health.
Explanation:
Pls mark as brainliest
Irrational worries or fears that won't go away.
relationships develop through a process of __________.
Answer:
i dont know because ive never been in a relationship, lonely as hell
Explanation:
write if ur also lonely
which pre-columbian civilization was the earliest to exist? a) aztec b) inca c) maya d) toltec
Answer:Maya
Explanation: I took the test
The pre-Columbian civilization that was the earliest to exist is Maya. The correct option is c.
What is civilization?A society is a diverse culture in which large numbers of people exchange similar characteristics. Historians have established the essential characteristics of civilizations. Six of the most important characteristics are cities, democracy, faith, the social system, writing, and art.
The pre-Columbian civilizations were extraordinary advances in human society and culture, ranking alongside Egypt, Mesopotamia, and China.
It was significant because it acknowledged how diverse and complex these early civilizations were, as well as how they continue to influence us after hundreds of years. The Columbian civilization in Latin America in this case includes the Aztec, Maya, and Inca.
Therefore, the correct option is c. Maya.
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Read the quote from President Wilson’s letter to the National Child Labor Committee. "As the labor situation created by the war develops I am more interested than ever, if that were possible, in throwing all the safeguards possible around the labor of women and children." The "labor situation" Wilson refers to most likely concerned him because: going to war meant US industry had to begin manufacturing military supplies. women and children had to do the jobs of male workers who became soldiers. no one was left to support families when men enlisted and went to war. women and children had to replace striking factory workers.
Answer:
B
Explanation:
Women demonstrated that they could perform “men's work” to a high standard during the Second World War. Thus, option C is correct.
What are the labor situation referred by Wilson?Wilson backed and signed into law the Adamson Act, which secured an eight-hour workweek for railroad workers after American railroad unions threatened to strike in 1916. This act paved the way for shorter workdays for all industrial workers.
When males were recruited to military duty and the demand for war materials increased, women were granted access to manufacturing jobs.
For the soldiers, they made blankets, fixed shoes, laundered clothing, and sewed uniforms. Giving sick and injured soldiers medical attention during the conflict was arguably the most significant role played by women.
Therefore, women and children had to do the jobs of male workers who became soldiers.
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(ACT) How do you tell when questions are testing you on subject verb agreement on the english section vs other concepts?
Answer:
On the ACT, you can often figure out what's being tested based on the underlined phrase and the answer choices. If you see that there are singular and plural forms of the same verb in the answer choices, determine if there's an error in subject-verb agreement.4 June 2015
Explanation:
identify the compound with the highest magnitude of lattice energy.
Answer:
The lattice energies for the alkali metal halides is therefore largest for LiF and smallest for CsI, as shown in the table below. The ionic bond should also become stronger as the charge on the ions becomes larger.
Explanation:
what is the most important thing that you need to consider in writing an essay?
Answer:
It depends. (check explanation)
Explanation:
To be honest, it depends on the essay you're writing. If it's a persuasive essay, then you need to focus on making your points solid and undebatable. If it's a research essay, you need to focus on citing a lot of sources. However, one thing needs to be in common in all your essays that teachers look for. Evidence. Evidence is key to developing your essay and making strong points. Most teachers look for evidence in your paragraphs and they will make your writing much more professional and give you a base to build your ideas off of. I hope this helped, please let me know if you have any further questions. :))
Which of these people is likely to run into problems when using a credit card?
The 3rd person.
Explanation:
I took the test
Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°. A triangle with points labeled Ship, Jacob, and Michael is shown. The length between Michael and Jacob is 20 miles. The angle between the ship, Michael, and Jacob is 48 degrees. The angle between the ship, Jacob, and Michael is 37 degrees. If the ship can travel to either dock, which dock would be closest? Explain your answer. Michael’s dock would be closer because the angle opposite is smaller. Jacob’s dock would be closer because the angle opposite is smaller. Michael’s dock would be closer because the docks are 20 miles apart. Jacob’s dock would be closer because the docks are 20 miles apart.
Answer:
A
Explanation:
If the ship can travel to either dock, the dock that would be closest is Michael’s dock would be closed because the angle opposite is smaller. The correct option is A.)
What are triangle inequalities?The triangle inequality theorem explains the connection between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side.
The vertices must be colinear, which means that the three sides form a line segment rather than a triangle if the length of one side equals the total of lengths of the other two sides. The triangle inequality is what we refer to here. Any triangle side must be shorter than the sum of the other two sides.
Therefore, the correct option is A.) Michael’s dock would be closed because the angle opposite is smaller.
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a box contains 10 equal-sized balls, numbered 1 to 10. two balls are drawn at random simultaneously. what is the probability that the numbers on the two balls will differ by more than 2?
The probability that the two balls are chosen will differ by more than 2 is 43/45
Probability is the likelihood or chance that an event will occur.
If a box contains 10 equal-sized balls and 2 balls are chosen at random from the box, the total outcome will be expressed as:
[tex]10C_2=\frac{10!}{(10-2)!2!}\\ 10C_2=\frac{10!}{8!2!}\\10C_2=\frac{10\times 9 \times 8!!}{8!2!}\\10C2=\frac{90}{2} =45 ways[/tex]
If the number on the two balls chosen will differ by less than or equal to 2, the expected outcomes are (1, 2), (1, 3) that is 2 outcomes
The probability that the two balls are chosen will differ by less than or equal to 2 is 2/45
The probability that the two balls are chosen will differ by more than 2 is 1 - 2/45 = 43/45
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True or false: The bus driver is acting like a tourist. True False
Answer:
True
Explanation:
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what is the single most important fact that predicts the person with whom you will become friends or have a romantic relationship?
The single most important fact that helps in giving prediction as regards person with whom one will be having friendship or a romantic relationship with is the amount of contact you have with people.
Romantic relationship can be regarded as kind of relationship involving some interpersonal relationship.This could entails physical as well as emotional intimacy, However to have this kind of relationship, it always depends on the contact one has with the people we tends to have an intimate relationship with.Therefore, the amount of contact we have play a vital roles because it helps to understand the person very well and the person lifestyle.
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on the map above, which one of the following boxes is in an area where the population density is high and the level of economic development is low?
Answer:
3434
Explanation:
Why is smoothing out the remaining bone in the limb is an important part of the amputation process?
Answer:
Smoothing out the bone will allow tissue and muscles to adequately cover it, and the surgeon may even stitch the muscles to the bone to help strengthen the area.
Explanation:
Answer:
Smoothing out the bone will allow tissue and muscles to adequately cover it, and the surgeon may even stitch the muscles to the bone to help strengthen the area.
Explanation:
Smoothing out the bone will allow tissue and muscles to adequately cover it, and the surgeon may even stitch the muscles to the bone to help strengthen the area.
an object starts from rest and accelerates uniformly in a straight line in the positive x direction. after 11 seconds, its speed is 70.0 m/s. determine the acceleration of the object.
the answer is 20 because
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81 Please select the best answer from the choices provided A B C D
Answer:
D
Explanation:
The maximum amount of Social Security tax that could ever be charged in a single year is $6,621.60. Thus, option (C) is correct.
What is tax?A tax is a compulsory commercial enterprise charge or some other type of levy inflicted on a taxpayer (an individual or legal entity) by a polity organization in order to fund government spending and various public expenditures (regional, local, or national) Taxes consist of direct or indirect taxes and may be paid off in money or as its labor knowledge.
Social Security The maximum amount of Social Security tax that could ever be charged in a single year is $6,621.60.as Most countries have a tax system in place, in order to pay for public, communal societal, or agreed national needs and for the purposes of government. Some levy a flat percentage rate.
Therefore, Thus, option (C) is correct.
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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."
Answer: "Salman Rushdie, a Nobel candidate himself, called Dylan ‘the brilliant inheritor of the bardic tradition.'"
Explanation: B
q is directly proportional to √p q = 21 when p = 9, the value of q when p =16 is
Answer:Calculate the proportional constant and then evaluate using this constant for
p
=
24
to get
q
=
20
Explanation: i no it
A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10 ft. The pool is 23.62 ft on each side. To the nearest square foot, what is the area of the pool that needs to be covered? 192 ft2 960 ft2 1,921 ft2 3,842 ft2
Answer:
B. 960 ft^2
Explanation:
edge says trust me
Based on the calculations, the area of this pentagonal pool that needs to be covered is equal to: B. 960 ft².
Given the following data:
Radius of pool = 20.10 ft.
Side length of pool = 23.62 ft.
How to calculate the area of the pool?Mathematically, the area of a regular pentagon can be calculated by using this formula:
A = ¹/₄√(5(5 + 2√5)a²)
Where:
a is side length.
Substituting the parameters into the formula, we have:
A = ¹/₄√(5(5 + 2√5)23.62²)
A = ¹/₄√(5(5 + 2√5)557.9044)
A = 959.86 ≈ 960 ft².
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what are some reasons dns is necessary? check all that apply.
how does technology contribute to the development of art like photography
Answer:
Technology has positively impacted the development of photography in many ways such as the increase in quality images and videos because of advancements in digital cameras.
We all can attest to the increase in clearer images and videos in recent times, this is as a result of technological advancements in digital cameras and mobile phones over the years.
In the past, film was used as the main content of photography, but with recent technological advancements, photography now uses electronic technology to achieve better images.
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Miss Hawaii
mendel believed that the characteristics of plants are determined by the
Answer:
inheritance of units or factors from both parents
Explanation:
We now call these units genes. Each inherited trait is determined by at least one gene from each parent.
which linear inequality is represented by the graph? y > x – y ≥ x + y ≤ x + y < x –
What you must do for this case first is to find the equation of the line.
We have then that by substituting the values of x = 0 and x = 3 we obtain:
y = 0.2
y = 2.2
Respectively.
So, the line is:
y = 2 / 3x + 1/5
Then, the points that satisfy the inequality are all those of the shaded region.
Answer:
The inequality is:
y ≤ 2 / 3x + 1/5
which statement correctly applies to a car that changes its velocity over a period of time?
Answer:
A nonzero net force is acting on it.
Explanation:
I took the test. :)