Determine the mass of the first object and the final velocity of the third object on the attached diagram. Regarding Collisions. I've been having...

In any collision, the linear momentum of the system is conserved. By considering the initial (before collision) and final (after collision) momenta of the system, and making them equal to each other, we can find the unknown mass of the first object.

It appears that the third object does not participate in collision, so it's final velocity will remain the same: `vec v_(3f) = vec0` .

The initial momentum of the system consisting of the two objects is

`vecP_i = m_1vecv_(1i) + m_2vecv_(2i)`

Projecting this onto the x-axis (horizontal axis directed to the right) gives

`P_(ix) = m_1(2) + 19*(-5) = 2m_1 - 95`

Similarly, the final momentum of this system is

`vecP_f = m_1vecv_(1f) + m_2vecv_(2f)`

Projecting this to the x-axis gives

`P_(fx) = m_1(-1) + 19(0) = -m_1`

Since the initial momentum and final momentum are equal, `P_(ix) = P_(fx)` :

`2m_1 - 95 = -m_1`

`3m_1 = 95`

From here, `m_1 = 95/3 = 31.7` kg.

The mass of the first object is 31.7 kg.

Why are the Canterbury Tales a good source of information for historians?

Chaucer's Canterbury Tales refers to a collection of short stories that is respected, studied and referenced not only in a literary context, but also as a valued historical collection for a variety of reasons summarized below.

Much like Homer's Iliad and the Odyssey, Canterbury Tales has become an important collection that depicts historical events, culture, and attitudes of its time. Notably, Chaucer lived and wrote during a time of war shrouded in religious, political and social unrest. England was in the midst of the Hundred Years War with France. Chaucer fought in the war, and his first-hand knowledge and experiences bleed through multiple areas of the texts. Paper had just recently been invented. In a purely semantical and technical context, Chaucer's work details verse, dialect, and English words never before recorded. Literacy was an uncommon luxury during the Middle Ages, predominately reserved to those holding a position within clergy, the Royal Court, or those holding an official governmental position.

The characters within the Canterbury Tales revolve around various social classes of people in England. The accounts and storylines are specific and detailed enough to give a bird's eye view into the Middle Ages; its people, culture, and church. There are very few works that account for the social structures, beliefs, and attitudes of the period. The majority of Chaucer's contemporaries gave little attention to the problems of commoners and peasants whom made up the majority of England's populous during the Middle Ages. Chaucer had an insider view of the English Royal court and held several appointments throughout his lifetime. As such, his first-hand knowledge of diplomacy, the state of the church and its clergy, courtly life, and the monarchy is vast and intimate.

The Canterbury Tales provides an insider's glimpse into England during the Middle Ages with an unprecedented depth and detail not previously recorded by Chaucer's contemporaries, making it a valued historical reference.

What is a quotation from To Kill a Mockingbird that shows the tradition of "Southern Bells"?

"Of course some afternoons when I would run inside for a drink of water, I would find the living room overrun with Maycomb ladies, sipping, whispering, fanning, and I would be called." (Lee 176)

Scout is referring to Aunt Alexandra's missionary circles that she regularly holds throughout the week. Southern ladies traditionally met in each other's houses to socialize over tea and cakes. "Southern Bells," is a term used to describe upper-class Southern females. It was a Southern tradition for ladies to meet with neighbors and discuss various events throughout the Antebellum Period into the early 20th century. Aunt Alexandra personifies the quintessential "Southern Bell," by her well-mannered, socially conscious attitude. Aunt Alexandra attempts to include Scout in her missionary circles to teach her how to become a proper "Southern Bell."

"Today was Sunday, and Aunt Alexandra was positively irritable on the Lord's Day. I guess it was her Sunday corset. She was not fat, but solid, and she chose protective garments that drew up her bosom to giddy heights, pinched in her waist, flared out in her rear, and managed to suggest that Aunt Alexandra's was once an hour-glass figure." (Lee 171)

Scout is describing Aunt Alexandra's typical Sunday outfit. Wearing a corset with a blooming dress was the traditional garment "Southern Bells" would wear in the late 19th and early 20th century. Scout's comment also describes the tradition of wearing one's nicest outfit to church on Sundays. Church was a social gathering that most upper-class women would attend in the South. "Southern Bells" took pride in their appearance, especially when attending church.

What is an antonym of estimation?

In mathematics we define estimation is a guess or finding the closest answer to the actual value through though or rough calculation.  Rough calculation includes rounding off, using round figures such 100s and 1000s. 

In math, the antonym of estimation is calculation. In mathematical terms this would be defined as determining the answer of a problem using mathematical  methods including addition, subtraction, multiplication, division and other mathematical equations used to find the actual answer. 

Let's illustrate this through an example. In an exam if we were to count the amount of words in the essay we would generally count every single word in each line, write them at the end of the margin in pencil and sum it up at the end of the essay. This is called calculation.

However, your examiner has 120 exam essays to mark and will not be able to count each line and tally the amount of words. The examiner will count the amount of words in the first line of the essay and multiply by the amount of lines in the essay. This is called estimation.

From the above example the estimation is an approximate answer to the true value, but calculation can give you the exact answer. (always read the context of the question or the use of the word in order to understand what is required)

What life lesson does Bud learn in Bud, Not Buddy?

Bud, Not Buddy is a bildungsroman (or a coming-of-age story); therefore, it contains many life lessons for Bud. For example, Bud learns how to survive during the Great Depression. However, that is not Bud's most important lesson. In particular, Bud learns the true meaning of family.

The first way Bud learns about family is by experiencing ways that he does not fit within other particular families. First, the reader sees Bud being abused by the Amos family (Bud's foster family). Mrs. Amos does not even “hear” Bud over her own son (who can do no wrong). Further, being locked in a shed with a threat of a beating is certainly child abuse. The Amos family, then, is not Bud’s true family. Later, we meet the family that helps Bud at the mission. 

I watched them walking away. My pretend brother looked back at me and stuck out his tongue, then reached up and took my pretend mother's hand. I couldn't really blame him.

Even though the family helps Bud, they do not adopt Bud as their own. The children in the family are disgusted by having to share their sweets with Bud. These two families (as well as others) can be compared with Bud’s real family: the jazz band.

The most important way Bud learns about family is by finding his own family with the context of Calloway's band. The jazz band, even though it is not a “typical” family, is a perfect and “real” family for Bud. Bud is accepted and welcomed into this family. Further, he is given his livelihood by this family (his “skinny wooden flute” and his saxophone). Bud is also required to provide for the family in what ways he can. Specifically, Bud is asked to help clean and learn multiple instruments. In these ways, Bud finds the home he has been looking for within the jazz band.

How does Pablo Neruda use poetic elements in "Tonight I Can Write"?

The poetic form of "Tonight I Can Write" by Pablo Neruda seems loosely based on the ghazal, an Arabic poetic form that combines a metrical pattern of couplets and a refrain with themes of loss and sorrow. Its distinguished Persian practitioners included Rumi and Hafiz; the form was popularized in western poetry by the German poet Goethe.

A poetic device that is part of the ghazal form is repetition. In the case of this poem, two poignant lines are repeated:

• Tonight I can write the saddest lines


• I loved her, and sometimes she loved me too

The repetition of these lines creates a tone of pathos and regret.

The next major poetic element is what is sometimes called the "pathetic fallacy" of using elements of the natural world as projections of the narrator's emotional state. The stars, dew, and wind are used as emblems of the narrator's internal feelings.

Another poetic element used in the poem is simile or explicit comparison. An example of a simile is found in the comparison of the poem to the dew in the line:

And the verse falls to the soul like dew to the pasture.

What clues caused the Tucks to conclude that there was something peculiar happening to them?

The Tuck family describes their discovery of the spring's magical powers in chapter 7.  They passed and drank from the spring without knowing anything had happened.  The Tuck family eventually found where they were going to settle and began building their homes.  That's when they started to notice that not everything was entirely normal anymore.  

"That was the first time we figured there was something peculiar," said Mae. "Jesse fell out of a tree . . ."

"I was way up in the middle," Jesse interrupted, "trying to saw off some of the big branches before we cut her down. I lost my balance and I fell. . ."

"He landed plum on his head," said Mae with a shudder. "We thought for sure he'd broke his neck. But come to find out, it didn't hurt him a bit!"

As the text indicates, Jesse fell out of a tree and landed on his head.  Normally, such a fall would cave in somebody's skull or break their neck.  Regardless, Jesse should have died, but he was no worse for the wear.  The strange happenings continued to the Tuck family.  

Angus Tuck was bitten by a snake, Miles was shot, and Jesse ate poisonous food.  In each case, nothing happened.  But the big clue to the Tuck family was their lack of maturing and aging.  

"I was more'n forty by then," said Miles sadly. "I was married. I had two children. But, from the look of me, I was still twenty-two.

It was then that the Tuck family knew something was wrong.  They were forced to flee the area.  Eventually, the Tuck family happened to return to the spring and realized that the tree and surrounding foliage hadn't changed either.  

That tree hadn't grown one whit in all that time. It was exactly the same. . . So they decided at last that the source of their changelessness was the spring.

Like anything that the spring fed, the Tuck family had become locked into being changeless.