One of the brass freeze plugs in the given figure is $3.0 \mathrm{~cm}$ thick and just fits inside the hole in the steel of the engine block when the block is at room temperature and the brass was brought to the temperature of dry ice.

(a) If the bulk modulus of brass is $6.1 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$, what pressure does the freeze plug exert on the block when both the freeze plug and the engine block are at room temperature?

(b) If the coefficient of friction between brass and steel is $0.45$, what force would it take to push the plug out of the block? If water were to freeze in the cooling system, would the plug pop out?

A train moves at a constant speed on a straight track. Which statement is true?

A. No horizontal forces act on the train as it moves.

B. The train moves only because of its inertia.

C. The forces of the train's engine balances friction.

D. An unbalanced force keeps the train moving.

What happens to the energy that is lost when an engine is less than 100% efficient? A. It is destroyed during combustion. B. It is converted to heat and transferred to the environment. C. It is converted to matter in the form of gases that enter the atmosphere. D. It is lost as friction between the tires of the vehicle and the surface of the road.

Diesel engines give more miles per gallon than gasoline engines, but some of this is due to the higher energy content of diesel fuel. At highway speeds, it takes $0.20 \mathrm{MJ}$ to move an aerodynamic car $1.0 \mathrm{~km}$. At highway speeds, with a gasoline engine, a car gets $16 \mathrm{~km}$ per liter of fuel; with a diesel engine under the hood, the car gets $19 \mathrm{~km}$ per liter of fuel. One liter of diesel contains $36 \mathrm{MJ} ; 1$ liter of gasoline contains only $32 \mathrm{MJ}$. What is the efficiency of each of these two engines?

This account begins with a balance of $\$297.15$. Find the new balance after each transaction.

$$\text{CHECK\ =\ CK}\quad\text{DEPOSIT\ =\ D}\quad\text{ELECTRONIC FUNDS TRANSFER\ =\ EFT}\quad\text{AUTOMATED TELLER MACHINE\ =\ ATM}\quad\text{PHONE\ =\ PH}\\$$

A company uses an automated sprayer to apply paint to metal. The company sets the sprayer to apply the paint one-inch thick.

(a) The company wants to estimate the mean thickness the sprayer is applying the paint within 0.0625 inch. Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.25 inch.

(b) Repeat part (a) using an error tolerance of 0.03125 inch. Which error tolerance requires a larger sample size? Explain.

The torque (in ft-lb) produced by a certain automobile engine turning at x thousand revolutions per minute is shown in the table. Graph the points and then find a third-degree polynomial function to model the torque T(x) for $1 \leq x \leq 5$.

$$\begin{array}{|c|c|}\hline \text { Engine } & {} \\ {\text { speed }} & {\text { Torque }} \\ (1000\text { rpm) } & {(\mathrm{ft-lb)}} \\ \hline 1.0 & {165} \\ \hline 1.5 & {180} \\ \hline 2.0 & {188} \\ \hline 2.5 & {190} \\ \hline 3.0 & {186} \\ \hline 3.5 & {176} \\ \hline 4.0 & {161} \\ \hline 4.5 & {142} \\ \hline 5.0 & {120} \\ \hline\end{array}$$

Air flows into a gasoline engine at 95 kPa, 300 K.The air is then compressed with a volumetric compression ratio of 8:1. In the combustion process,1300 kJ/kg of energy is released as the fuel burns.Find the temperature and pressure after combustion using cold air properties.

This account begins with a balance of $\$297.15$. Find the new balance after each transaction.

$$\text{CHECK\ =\ CK}\quad\text{DEPOSIT\ =\ D}\quad\text{ELECTRONIC FUNDS TRANSFER\ =\ EFT}\quad\text{AUTOMATED TELLER MACHINE\ =\ ATM}\quad\text{PHONE\ =\ PH}\\$$

An inventor claims to have designed and built an engine that produces 1.50 MW of usable work while taking in 3.00 MW of thermal energy at 425 K, and rejecting 1.50 MW of thermal energy at 215 K. Is there anything fishy about his claim? Explain.

A cam drive is used for a mechanism that drives an automated assembly machine. The cam follower must rise outward $13 \mathrm{~mm}$ with constant velocity in $3 \mathrm{~s}$, dwell for $3 \mathrm{~s}$, fall $5 \mathrm{~mm}$ with constant acceleration in $2 \mathrm{~s}$, dwell for $3 \mathrm{~s}$, fall $8 \mathrm{~mm}$ with constant acceleration in $2 \mathrm{~s}$, and then repeat the sequence. Determine the required speed of the cam and graphically plot a follower displacement diagram.

Leaded gasoline contains lead that ends up in the engine exhaust. Lead is a very toxic engine emission. The use of leaded gasoline in the United States has been unlawful for most vehicles since the 1980s. However, leaded gasoline is still used in some parts of the world. Consider a city with 70,000 cars using leaded gasoline. The gasoline contains 0.15 g/L of lead and 50 percent of lead is exhausted to the environment. Assuming that an average car travels 15,000 km per year with a gasoline consumption of 8.5 L/100 km, determine the amount of lead put into the atmosphere per year in that city.

Concept Vocabulary: chimed, delicately, manipulated, attending, fluttered, tremulous. These concept words relate to delicacy and carefulness. For example, consider the description "the garage chimed and lifted its door." The verb chimed has connotations of softness and grace, suggesting a sound that is more delicate than the loud clang of a bell or an alarm. Later, the house is described as attending to chores, suggesting that it is a loyal servant to its inhabitants. How does the concept vocabulary help readers understand both the automated house and the society that created it?

This account begins with a balance of $\$297.15$. Find the new balance after each transaction.

$$\text{CHECK\ =\ CK}\quad\text{DEPOSIT\ =\ D}\quad\text{ELECTRONIC FUNDS TRANSFER\ =\ EFT}\quad\text{AUTOMATED TELLER MACHINE\ =\ ATM}\quad\text{PHONE\ =\ PH}\\$$