Your Own Prose Poem Solzhenitsyn probably got the idea for his prose poem on page 589 when he saw the puppy frolicking in the snow. Write a prose poem of your own about freedom. Base it on something you've observed in everyday life. Be sure to check the notes you made for the Quickwrite on page 588 for ideas. THE PUPPY, HARLEM, "HOPE"

Three charges are placed as shown in Fig. we saw earlier.The magnitude of $q_1$ is $2.00 \mu \mathrm{C}$. but its sign and the value of the charge $q_2$ are not known. Charge $q_3$ is $+4.00 \mu \mathrm{C}$, and the net force $\overrightarrow{\boldsymbol{F}}$ on $q_3$ is entirely in the negative $x$-direction.(b) Using the sketches from part (a) and the direction of $\boldsymbol{F}$, deduce the signs of the charges $q_1$ and $q_2$.

You and a friend each hold a lump of wet clay. Each lump has a mass of 30 g. You each toss your lump of clay into the air, where the lumps collide and stick together. Just before the impact, the velocity of one lump was $\langle 3,3,-3\rangle\ \mathrm{m} / \mathrm{s},$ and the velocity of the other lump was $\langle- 3,0,-3\rangle\ \mathrm{m} / \mathrm{s}.$ What was the total momentum of the lumps just before the impact?

Consider the counterflow heat exchanger of the mentioned example. From the analysis, you saw that the overall coefficient is dominated by the hot-side convection coefficient $h_o$. The operations manager discovers that a spiral insert for the annulus that should increase $h_o$ by a factor of 10 is commercially available. If this enhancement could be achieved, what is the required tube length while all other conditions remain the same?

Below mentioned argument, used to justify the result for the row with hundred squares, could be modified to justify the general $3 n+1$ result for a row of $n$ squares, from Activity we saw earlier ? If an argument is not strong, explain why. Paloma: "Across the top, there would be hundred toothpicks. In the middle, $101$. And on the bottom, $100$. So, $301$." In general, Paloma's reasoning suggests the rule $f(n)=n+(n+1)+n$.

Determine the loss tangent for each of the following nonmagnetic media at 12 MHz. (a) wet earth $\left(\boldsymbol{\varepsilon}=10 \boldsymbol{\varepsilon}_{\mathrm{o}}, \boldsymbol{\sigma}=10^{-2} \mathrm{S} / \mathrm{m}\right)$ (b) dry earth $\left(\varepsilon=4 \varepsilon_{0}, \sigma=10^{-4} \mathrm{S} / \mathrm{m}\right)$ (c) seawater $\left(\varepsilon=81 \varepsilon_{0}, \sigma=4 \mathrm{S} / \mathrm{m}\right)$

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

Imala saw $\underline{6}$ different species on her first day of bird-watching.

On the line provided, write a sentence according to each of the following guidelines. In your sentences use a variety of subjects and verbs.

Example 1. Write a sentence in which you divide a word at the end of the line.

$$\underline{\text{At the antiques store we saw a type-}}$$

$$\underline{\text{writer that was probably eighty years old.}}$$

Write a sentence containing a word with the prefix all-.

We saw that the velocity v of a freefalling skydiver is well modeled by the differential equation

$$m\frac{dv}{dt} = mg - kv^{2},$$

where $m$ is the mass of the skydiver, $g$ is the gravitational constant, and $k$ is the drag coefficient determined by the position of the driver during the dive.

(a) Find the general solution of this differential equation.

(b) Confirm your answer to the previous exercise by calculating the limit of $v(t)$ as $t\rightarrow \infty.$

As we saw in the previous problem, lithium has two naturally occurring isotopes: Li-6 (natural abundance 7.5%; mass 6.0151 amu) and Li-7 (natural abundance 92.5%; mass 7.0160 amu). Without doing any calculations, determine which mass is closest to the atomic mass of Li. a. 6.00 amu b. 6.50 amu c. 7.00 amu

The potential energy shared by two atoms in a diatomic molecule, depicted in Figure we saw earlier. is often approximated by the fairly simple function $U(x)=\left(a / x^{12}\right)$ $\left(b / x^6\right)$, where constants $a$ and $b$ depend on the atoms involved. In Section we saw earlier, it is said that near its minimum value, it can be approximated by an even simpler function-it should ""look like"" a parabola. (a) In terms of $a$ and $b$, find the minimum potential energy $U\left(x_0\right)$ and the separation $x_0$ at which it occurs. (b) The parabolic approximation $U_p(x)=U\left(x_0\right)+$ $\frac{1}{2} \kappa\left(x-x_0\right)^2$ has the same minimum value at $x_0$ and the same first derivative there (i.e., 0 ). Its second derivative is $\kappa$. the spring constant of this Hooke's law potential energy. In terms of $a$ and $b$, what is the spring constant of $U(x)$ ?

On the line provided, write a sentence according to each of the following guidelines. In your sentences use a variety of subjects and verbs.

Example 1. Write a sentence in which you divide a word at the end of the line.

$$\underline{\text{At the antiques store we saw a type-}}$$

$$\underline{\text{writer that was probably eighty years old.}}$$

Write a sentence containing a fraction used as an adjective.

Each of the following sentences contains at least one ambiguous, general, weak, or indefinite pronoun reference. Revise the sentences to correct each faulty pronoun reference,

EXAMPLE: On this train, they served meals without charge. On this train, meals were served without charge. or On this train, meals were included in the ticket price.

Ruth saw Julie when she was in town last week.

In the earlier exercise, we saw that Ford Motor Company once graded its managers in such a way that the top 10% received an A grade, the bottom 10% a C, and the middle 80% a B. Let's suppose that performance scores follow a Normal distribution. How many standard deviations above and below the mean do the A/B and B/C cutoffs lie? (Use the standard Normal distribution to answer this question .)