The pulley in the figure (figure 1) has radius r and a moment of inertia i. The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block a and the tabletop is μk. The system is released from rest, and block b descends. Block a has mass ma and block b has mass mb
Answers
The speed of block B in terms of the distance (d) it has descended is [tex]V=\frac{2gd(m_B-\mu_k m_A)}{m_A \;+\; m_B \;+\;\frac{I}{r^2}}[/tex]
How to determine the speed.In order to determine the speed of block B in terms of the distance (d) it has descended, we would apply the work-energy theorem as follows:
[tex]Work=\Delta KE=KE_f-KE_i[/tex]
The work done due to gravity is given by:
[tex]W_g=(m_B)gd[/tex]
The work done due to friction is given by:
[tex]W_f=-\mu_k (m_A)gd[/tex]
The angular velocity of pulley is given by:
[tex]\omega = \frac{V}{r}[/tex]
Applying the work-energy theorem, we have:
[tex]W_g+W_f= KE_f-KE_i\\\\(m_B)gd-\mu_k (m_A)gd=\frac{1}{2} m_A V^2+\frac{1}{2} m_B V^2+\frac{1}{2} I\omega^2-0\\\\gd(m_B-\mu_k m_A)=m_A V^2+ m_B V^2+\frac{1}{2} I(\frac{V}{r} )^2\\\\2gd(m_B-\mu_k m_A)=(m_A + m_B +\frac{I}{r^2} )V\\\\V=\frac{2gd(m_B-\mu_k m_A)}{m_A \;+\; m_B \;+\;\frac{I}{r^2}}[/tex]
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Related Questions
A company bought a new machine for its warehouse on january 1
Answers
Based on the various costs incurred for the new machine, the book value on December 31 is $36,000.
What was the book value?This can be found as:
= Total cost of machine - Depreciation
Total cost can be found as:
= Cash paid + Note payable + Setup charge
= 10,000 + 30,000 + 2,000
= $42,000
Book value is:
= 42,000 - ( 500 x 12 months)
= $36,000
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Which statement best summarizes a theme that is found in both passages? people can find the divine by studying the natural world. People should not question the presence of the divine. The differences between animals prove the divine is not real. The powers of the divine are frightening to behold
Answers
The statement that best summarizes a theme that is found in both passages is that People can find the divine studying the natural world.
What is a theme?In literary studies, a theme is known to be the key or central topic, subject, or message that is found in a narrative.
A Theme is made up of the work's thematic concept and the thematic statement being conveyed. The theme of the passage is about People can find the divine studying the natural world.
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Answer:
A
Explanation:
What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)?
Answers
Answer:
Your answer is 0.5
Explanation:
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the phospholipids of plasma membranes contain _____.
Answers
Answer: The phospholipids of plasma membranes contain lipid molecule that is the main component of the cell membrane. Lipids are molecules that include fats, waxes, and some vitamins, among others. Each phospholipid is made up of two fatty acids, a phosphate group, and a glycerol molecule.
Explanation: The phospholipids of plasma membranes contain lipid molecule that is the main component of the cell membrane. Lipids are molecules that include fats, waxes, and some vitamins, among others. Each phospholipid is made up of two fatty acids, a phosphate group, and a glycerol molecule.
Three square regions are joined at their vertices to create the figure shown. If the combined area of region x and region y is 289 in2, which statement is true?
Answers
The area of a square is the square of one of its side, therefore, based on the Pythagorean theorem, the statement that is true is: the area of region Z is equal to 289 in².
What is the Pythagorean Theorem?The Pythagorean theorem states that the square of a the hypotenuse of a right triangle equals the sum of the squares of the other two legs of the right triangle.
Thus:
The side of square is the hypotenuse of the right triangle formed.
We are also given that the combined area of region x and region y equals 289 in².
Since, the area of a square is the square of one of its side, therefore, based on the Pythagorean theorem, the statement that is true is: the area of region Z is equal to 289 in².
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The warm air rises and cool air sinks conduction convection or radiation
Answers
More specific: Convection current
Look at this picture. Imagine you are an archeologist who has been searching for ancient artifacts through the caves in france, and you come upon this picture. What do you think it shows? write a paragraph to explain what the picture shows, the artist who painted it, and why it was painted
Answers
Answer:
The cave painting on the image is representing the animals, or rather the environment that was seen by the artists of the painting in their surroundings. We can see that there are wild horses depicted on it, but also a rhino. The wild horses were probably a prey animal, while the rhino was a respected animal and feared one, thus they were avoiding it. The artists that painted it were the Cro-Magnons, early Homo-sapiens in Europe, in what is now France. The reason why it was painted is probably because the artist wanted to depict the environment, but also maybe for teaching the youngsters about the animals from early age, so that they know which ones are to be hunted, and which ones to be avoided.
What type of epithelium is associated with goblet cells?
Answers
A 72° sector in a circle has an area of 16.4π yd². what is the area of the circle? use 3.14 for pi. enter your answer as a decimal in the box. yd²
Answers
Answer:257.48 I took the test
For what values of b will f(x)=logb^x be a decreasing function
Answers
You are given the logarithmic function f(x)logbx Note that this function is defined
when:
1) b>0≠1;
2) x>0
This function is increasing, when b > 1 and decreasing when 0 < b < 1
[tex]your \: answer \: is \: 0 < b < 1[/tex]
[tex]hope \: its \: helpful \: to \: you[/tex]
Both the speech and the poster use parallelism to convey their message. Diction to convey their message. Repetition to convey their message. Images to convey their message
Answers
Both the speech and the poster uses Diction to convey their message.
What is Diction?Diction is known to be a form of thorough selection of words that is to be employed in communicating a message or setting up a specific voice or writing style.
An example is the use of flowy, figurative language to form a kind of beautiful poem and another is the one used in the poster.
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Answer:
Both the speech and the poster uses (B)Diction to convey their message.
Explanation:
The juxtaposition of adjectives in lines 9-15 (""and in. . . Shining"") cumulatively creates a sensory impression of
Answers
The juxtaposition of adjectives (""and in. . . Shining"") creates a sensory impression of darkness with an interval of light.
What is an Adjective?
This is a word which is used to describe a noun. Since we were told that shining occurred then light was involved.
The most appropriate choice in this context is a sensory impression of darkness with an interval of light.
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What mass in grams of agcl is produced when 4.22 g of agno3 react with 7.73 g of alcl3 ?
Answers
Answer:
yes
Explanation:
How many subsets with an odd number of elements does a set with 14 elements have?
Answers
The number of subsets is an illustration of combination
The set with 14 elements have 8192 subsets with an odd number of elements
How to determine the number of subsets?
The number of elements in the set is:
n = 14
The odd numbers less than or equal to 14 are:
Odd = 1, 3, 5, 7, 9, 11, 13
The number of subsets is then calculated as:
Subsets = 14C1 + 14C3 + 14C5 + 14C7 + 14C9 + 14C11 + 14C13
Evaluate the combination expressions
Subsets = 14 + 364 + 2002 + 3432 + 2002 + 364 + 14
Evaluate the sum
Subsets = 8192
Hence, the set with 14 elements have 8192 subsets with an odd number of elements
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What is a "total audience viewing behavior measurement" approach?
Answers
We can conclude that the "total audience viewing behavior measurement" approach: measures audience viewing behavior regardless of which device the content was consumed from.
What is "Total Audience Viewing Behavior Measurement" Approach?In simple terms, "total audience viewing behavior measurement" approach is an approach which companies use to measure the consumption behavior of viewers regardless of which device they use in consuming the content.
This approach covers both active and passive metering devices.
Thus, we can conclude that the "total audience viewing behavior measurement" approach: measures audience viewing behavior regardless of which device the content was consumed from.
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Now click on this link to read a summary of the impact of the plan. Drawing on what you have learned in this reading and the previous readings, write a paragraph that describes the role of community colleges in the california education system
Answers
Community colleges are an important part of higher education because they grow the chance to go to school.
What is a community college?A community college is a college providing further and higher education for the people that are living in a particular area.
They provide academic programming and skills training to prepare students for jobs and to transfer to four-year colleges and universities.
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Answer:Community colleges are an important part of higher education because they grow the chance to go to school.
Explanation:
Got it right on edg2022
An animal is born with a shorter tail. This makes no difference to its ability to survive or reproduce, but as a result of pure luck, the animal survives, reproduces, and passes its shorter tail down to its offspring. Over time, the species develops a shorter tail. What type of process is described in this scenario?
Answers
Answer:
Recessive alleles are the alleles that get masked and dominant are the traits that get expressed. The short tail of the animal is a recessive trait. Genetic drift is described in the scenario.
What is Genetic drift?
The alteration of the frequency of the existing allele for a specific trait with another or the recessive due to random sampling is called genetic drift. The sample allele plays a role in the determination of the survival rate and the reproduction rate of the organisms.
Natural selection is the process of choosing the organism with the better trait qualities that can survive and reproduce in the altered environment, while artificial selection is the man-made selection.
Genetic modification is the manipulation of the genes or the genetic material of the organisms either naturally by mutation or through genetic engineering by humans. So, the adaptation of the short tail in the organism is not genetic modification.
Therefore, the process of genetic drift is explained in this scenario.
Explanation:
When searching for a common in two separate poems, the reader should look for the message that the texts convey
Answers
When searching for a common theme in two separate poems, the reader should look for the message that is being conveyed by the texts.
What is a theme?In English literature, a theme can be defined as the underlying meaning, salient-abstract point or main idea of a literary work such as a poem, that are revealed directly or indirectly depending on an author's (writer's) choice.
This ultimately implies that, a theme is primarily the underlying lessons, messages, meanings, or insights about life and human nature that is revealed by an author (writer) to the readers.
In conclusion, a reader should look for the message that is being conveyed by the texts when searching for a common theme in two separate poems.
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Answer:
theme
Explanation:
How does the characterization in this passage connect to its central idea? the two men continually make jokes about each other, which shows that they have no concern for one another. Brutus and cassius’s honest sentiment and humor reflect the central idea of the importance of friendship. When cassius says he has inherited his temper from his mother, he suggests that he is not in control of his own fate. Brutus and cassius both blame their mothers for their ill-temper, demonstrating that neither can take responsibility for their own actions
Answers
The characterization that is made in the passage shows that:
Brutus and Cassius’s honest sentiment and humor reflect the central idea of the importance of friendship.How friendship is reflected in this passageThe way this is reflected is from the conversation of both of these men. From the way that they talk you can see and make out that they are friends.
Brutus refers to himself as Cassius's brutus in one part of the conversation showing that they were good friends.
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Answer:
B, Honest sentiment
Explanation:Just took the test
If x is an integer, which of the following must
be an even integer?
A. x2-x-1
B. x2 - 4x + 6
C. x2 - 5x + 5
D. x2 + 3x-8
E. x2 + 2x - 10
Answers
True or false costa ricans typically try to avoid confrontation with others. true false
Answers
Answer: True
Explanation:
because
Answer:
False
Explanation:
:)
When a pendulum swings, at which point is potential energy at its greatest
Answers
At point 3 , kinetic energy is highest.
* 5.0
We know that,
Kinetic energy
= =mo?
Where m is mass of pendulum and v is speed of
pendulum.
Since the mass of the pendulum would not
change, the only way for kinetic energy to
change is for the speed of the pendulum to
change.
Kinetic energy is highest when the velocity is the
highest. This occurs at the bottom of the
pendulum.
At the lowest point (Point 3 ) the pendulum has its
greatest speed. All of the energy in the
pendulum is kinetic energy and there is no
gravitational potential energy.
Carbon monoxide gas reacts with oxygen gas to produce carbon dioxide gas
Answers
Answer:
2CO + O2 => 2CO2
Explanation:
2 moles of Carbon monoxide reacts with 1 mole of oxygen to give 2 moles of carbon dioxide
Calculate the percent change in the annual total msw recycled from 1960 to 2000 in the united states. show your work.
Answers
The percent change in the annual total MSW recycled from 1960 to 2000 in the united states would be 50%.
Percentage changeUsing this formula
Percentage change= ( Total percentage of MSW recycled in 2010 - Total percentage of MSW recycled in 1960) / Number of years
Let plug in the formula
Percent change = (33 - 8) / ( 2010 - 1960)
Percent change=25/50
Percentage change=0.5×100
Percent change=50%
Inconclusion the percent change in the annual total MSW recycled from 1960 to 2000 in the united states would be 50%.
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Which sentence does not describe a structural adaptation?
Answers
Answer:
D does not describe a structural adaption
Explain how the number of text messages dario sent
Answers
Answer:
the text of the former by the number of the dario is sent
As her professor distributed the mathematics test to the class, betty's heart started to pound and her palms began to sweat. These physiological reactions were activated by her ________ nervous system
Answers
Answer:
Sympathetic nervous system
Explanation:
the part of the brain that causes this is the hypothalamus
As a consumer how can you sustain your needs despite the challenges in increased price in the market
Answers
Consider these two arguments about immigration. In a well-structured paragraph, compare the rhetorical devices used by president obama and president trump
Answers
If there is an argument about immigration, it is very likely that:
One person is talking about the need to tighten immigration lawsThe other person is likely open to the idea of getting in more immigrants.There is the use of supporting details to support their claims and arguments that immigrants are either good or bad for the American country.What is an Argument?This refers to the use of logic in order to convince a person about a particular viewpoint which also uses rebuttals, counterarguments, etc.
Please 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:
In President Barack Obama's argument about immigration, it is used Pathos and Logos. We can see Pathos when he tries to get to the audience feelings of pity, disgrace, and empathy for those families who come into the U.S and have to face hardships such as racism. He's trying to provoke certain emotions talking about those families struggles and sufferings. He's using an emotional resource. Logos is seen when he talks about facts, about the fact that racism is still an issue in the U.S and that immigrants do are part of the American community as well. He's using logic and facts. In President Donald Trump's argument about immigration, it is used Pathos, Ethos, and Logos. Pathos is seen when he tries to convey feelings of sorrow and pity for the American families who lose their jobs because of immigrants getting American's jobs. He tries to convey those feelings towards the hardships that American's face up to the immigrant's situation. Logos is seen in the last sentence Our obligation is to serve, protect, and defend the citizens of the United States. He uses logic to persuade the audience, he is trying to convince people that is statement is ethically correct and therefore, logical. Ethos is seen in the last and first sentence. He uses his authority to convince people about his argument being correct.
Explanation:
The population of a town is 12,000, and it grows at a rate of 5% per year. what will the population be in 4 years?
Answers
Answer:
14,400 people
Explanation:
5% of 12,000 is 600, because 12,000 divided by 5 is 600.
600 × 4 = 2,400.
Then add that to the current population to get your answer:
2,400 + 12,000 = 14,400
The population in 4 years would be fourteen thousand four hundred.