A Machine Fantasy Using your notes from the Quickwrite for "All Watched Over by Machines of Loving Grace," write a paragraph about how your life would be different without your favorite machines. Think hair dryer, washing machine, toaster, car, computer, popcorn popper, chain saw, lawn mower, snow blower, water heater, oil furnace, electric lights.

A pile of wet sand having total volume $5 \pi$ covers the disk $x^{2}+y^{2} \leq 1, z=0$. The momentum of water vapour is given by $\mathbf{F}=\operatorname{grad} \phi+\mu \mathrm{curl} \mathbf{G}$, where $\phi=x^{2}-y^{2}+z^{2}$ is the water concentration, $\mathbf{G}=\frac{1}{3}\left(-y^{3} \mathbf{i}+x^{3} \mathbf{j}+z^{3} \mathbf{k}\right)$, and $\mu$ is a constant. Find the flux of F upward through the top surface of the sand pile.

Underline any titles that should be italicized in the following sentences. If a sentence is already correct, write $C$ before the item number.

Example 1. In Madrid, I saw $\underline{\text{Guernica}}$, a fascinating painting by Pablo Picasso.

14. In the 1940's, Langston Hughes wrote a column for the New York Post in which a character called Simple voiced the thoughts of young black Americans.

In Fig. we saw earlier, $C_1=6.00 \mu \mathrm{F}, C_2=3.00 \mu \mathrm{F}, C_3=$ $4.00 \mu \mathrm{F}$, and $C_4=8.00 \mu \mathrm{F}$. The capacitor network is connected to an applied potential difference $V_{a b}$. After the charges on the capacitors have reached their final values, the voltage across $\mathrm{C}_3$ is $40.0 \mathrm{~V}$. What are (c) the voltage $V_{a b}$ applied to the network?

The Merricks are at a beach resort in Cannes. Say what each family member is about to do based on his or her likes or dislikes. There is only one possibility for each.

{ faire de la voile } $\quad${ nager } $\quad$ { faire du parachutisme ascensionnel } $\quad$ { faire du scooter des mers } $\quad$ { bronzer }$\quad$ { faire du ski nautique }

Le chien adore sentir lair mais il n'aime pas la vitesse et $\`{e}$tre mouillé (wet).

A pair of point charges, $\quad q=+8.00 \mu \mathrm{C}$ and $q^{\prime}=-5.00 \mu \mathrm{C}$, are moving as shown in Fig. we saw earlier with speeds $v=9.00 \times 10^4 \mathrm{~m} / \mathrm{s}$ and $v^{\prime}=6.50 \times 10^4 \mathrm{~m} / \mathrm{s}$. When the charges are at the locations shown in the figure, what are the magnitude and direction of the magnetic force that $q^{\prime}$ exerts on $q$ ?

The binding energy per nucleon in helium- 3 is 2.57 $\mathrm{MeV} /$ nucleon. Assuming a nucleon separation of $2.5 \mathrm{fm}$. determine (a) the gravitational potential energy per nucleon and (b) the electrostatic energy per proton between the protons. (c) What is the approximate value of the internucleon potential energy per nucleon? (d) Do these results agree qualitatively with Table we saw earlier?

The front of her sleeper wet from teething, a baby rejoices in the day by crowing and bouncing up and down in her crib. Her mass is $12.5 \mathrm{~kg}$, and the crib mattress can be modeled as a light spring with force constant $4.30 \mathrm{kN} / \mathrm{m}$. (a) The baby soon learns to bounce with maximum amplitude and minimum effort by bending her knees at what frequency? (b) She learns to use the mattress as a trampoline-losing contact with it for part of each cycle-when her amplitude exceeds what value?

El cuaderno de Alberto se mojó (got wet) y ahora no puedes ver todo lo que él escribió. Ayúdalo completando con la forma correcta del pronombre posesivo. Asegúrate de que esté claro a quién o quiénes se refieren. Recuerda que debes usar la forma apropiada (el de él-el de ella, etc.).

Veo las sandalias de Gerardo, pero no las de Marta. ________ están aquí mismo. ¿Dónde estarán ________?

Hairdryers work by blowing heat that is generated by exposed, high-resistance wires. (a) If a woman using a hairdryer comes in direct contact with the $110-\mathrm{V}$ wires, find the current that travels through her if she is dry and has a resistance of $500, 000 \Omega$ . (b) If she is wet, the resistance of her body can drop as low as $100 \Omega$. Calculate the current that passes through her body at this resistance. (Death can result when a current of $0.07$ A flows through a person's body for more than $1 \mathrm{~s}$.)

The grade $x$ of a hill is a measure of its steepness. For example, if a road rises ten feet for every one hundred feet of horizontal distance, then it has an uphill grade of $x=\frac{10}{100}$, or $10 \%$. The braking (or stopping) distance $D$ for a car traveling at $50 \mathrm{mph}$ on a wet, uphill grade is given by

$$D(x)=\frac{2500}{30(0.3+x)} .$$

(a) Evaluate $D(0.05)$ and interpret the result.

(b) Describe what happens to braking distance as the hill becomes steeper.

(c) Estimate the grade associated with a braking distance of $220$ feet.

The cooling water from the condenser of a power plant enters a wet cooling tower at $40^{\circ} \mathrm{C}$ at a rate of 90 kg/s. The water is cooled to $25^{\circ} \mathrm{C}$ in the cooling tower by air that enters the tower at 1 atm, $23^{\circ} \mathrm{C},$ and 60 percent relative humidity and leaves saturated at $32^{\circ} \mathrm{C}.$ Neglecting the power input to the fan, determine (a) the volume flow rate of air into the cooling tower and (b) the mass flow rate of the required makeup water.

A school consists of $6$ separate buildings, represented by the vertices in the graph. There are paths between some of the buildings as shown. The graph also shows the length in feet of each path. School administrators want to cover some of these paths with roofs so that students will be able to walk between buildings without getting wet when it rains. To minimize cost, they must select paths to be covered such that the total length to be covered is as small as possible. Use Kruskal's algorithm to determine which paths to cover. Also determine the total length of pathways to be covered.

Determine whether the following arguments are inductive or deductive. If an argument is inductive, determine whether it is strong or weak. If it is deductive, determine whether it is valid or invalid. After taking LSD, Alice said she saw a flying saucer land in the shopping center parking lot. Since Alice has a reputation for always telling the truth, we must conclude that a flying saucer really did land there.