Chapter Questions
Visit your local library (at school or home) and describe theextent to which it provides literature and computer supportfor the technologies—in particular, electricity, electronics,electromagnetics, and computers.
Choose an area of particular interest in this field and write avery brief report on the history of the subject.
Choose an individual of particular importance in this fieldand write a very brief review of his or her life and importantcontributions.
What is the velocity of a rocket in mph if it travels 20,000 ftin 10 s?$$\sum_1^s$$
In a recent Tour de France time trial, Lance Armstrong traveled 31 miles in a time trial in 1 hour and 4 minutes. What was his average speed in mph?
A pitcher has the ability to throw a baseball at $95 \mathrm{mph}$.a. How fast is the speed in $\mathrm{ft} / \mathrm{s}$ ?b. How long does the hitter have to make a decision about swinging at the ball if the plate and the mound are separated by 60 feet?c. If the batter wanted a full second to make a decision, what would the speed in $\mathrm{mph}$ have to be?
Are there any relative advantages associated with the metric system compared to the English system with respect to length, mass, force, and temperature? If so, explain.
Which of the four systems of units appearing in Table 1.1 has the smallest units for length, mass, and force? When would this system be used most effectively?
Which system of Table 1.1 is closest in definition to the SI system? How are the two systems different? Why do you think the units of measurement for the SI system were chosen as listed in Table 1.1? Give the best reasons you can without referencing additional literature.
What is room temperature $\left(68^{\circ} \mathrm{F}\right)$ in the MKS, CGS, and SI systems?
How many foot-pounds of energy are associated with $1000 \mathrm{~J}$ ?
How many centimeters are there in $1 / 2$ yd?
Express the following numbers as powers of ten:a. 10,000b. $1,000,000$c. 1000d. 0.001e. 1f. 0.1
Using only those powers of ten listed in Table 1.2, express the following numbers in what seems to you the most logical form for future calculations:a. 15,000b. 0.030c. $2,400,000$d. 150,000e. 0.00040200f. 0.0000000002
. Perform the following operations and express your answer as a power of ten using scientific notation:a. $4200+48,000$b. $9 \times 10^4+3.6 \times 10^5$c. $0.5 \times 10^{-3}-6 \times 10^{-5}$d. $1.2 \times 10^3+50,000 \times 10^{-3}-0.6 \times 10^3$
Perform the following operations and express your answer as a power of ten using engineering notation:a. $(100)(1000)$b. $(0.01)(1000)$c. $\left(10^3\right)\left(10^6\right)$d. $(100)(0.00001)$e. $\left(10^{-6}\right)(10,000,000)$f. $(10,000)\left(10^{-8}\right)\left(10^{28}\right)$
Perform the following operations and express your answer in scientific notation:a. $(50,000)(0.0003)$b. $2200 \times 0.002$c. $(0.000082)(2,800,000)$d. $\left(30 \times 10^{-4}\right)(0.004)\left(7 \times 10^8\right)$
Perform the following operations and express your answer in engineering notation:a. $\frac{100}{10,000}$b. $\frac{0.010}{1000}$c. $\frac{10,000}{0.001}$d. $\frac{0.0000001}{100}$e. $\frac{10^{38}}{0.000100}$f. $\frac{(100)^{1 / 2}}{0.01}$
Perform the following operations and express your answer in scientific notation:a. $\frac{2000}{0.00008}$b. $\frac{0.004}{60,000}$c. $\frac{0.000220}{0.00005}$d. $\frac{78 \times 10^{18}}{4 \times 10^{-6}}$
Perform the following operations and express your answer in engineering notation:a. $(100)^3$b. $(0.0001)^{1 / 2}$c. $(10,000)^8$d. $(0.00000010)^9$
Perform the following operations and express your answer in scientific notation:a. $(400)^2$b. $(0.006)^3$c. $(0.004)\left(6 \times 10^2\right)^2$d. $\left(\left(2 \times 10^{-3}\right)\left(0.8 \times 10^4\right)\left(0.003 \times 10^5\right)\right)^3$
Perform the following operations and express your answer in scientific notation:a. $(-0.001)^2$b. $\frac{(100)\left(10^{-4}\right)}{1000}$c. $\frac{(0.001)^2(100)}{10,000}$d. $\frac{\left(10^3\right)(10,000)}{1 \times 10^{-4}}$e. $\frac{(0.0001)^3(100)}{1 \times 10^6}$*f. $\frac{[(100)(0.01)]^{-3}}{\left[(100)^2\right][0.001]}$
. Perform the following operations and express your answer in engineering notation:a. $\frac{(300)^2(100)}{3 \times 10^4}$b. $\left[(40,000)^2\right]\left[(20)^{-3}\right]$c. $\frac{(60,000)^2}{(0.02)^2}$d. $\frac{(0.000027)^{1 / 3}}{200,000}$e. $\frac{\left[(4000)^2\right][300]}{2 \times 10^{-4}}$f. $\left[(0.000016)^{1 / 2}\right]\left[(100,000)^5\right][0.02]$*g. $\frac{\left[(0.003)^3\right][0.00007]^{-2}\left[(160)^2\right]}{[(200)(0.0008)]^{-1 / 2}}$ (a challenge)
Fill in the blanks of the following conversions:a. $6 \times 10^3-$ $\qquad$ $\times 10^6$b. $4 \times 10^{-3}=$ $\qquad$ $\times 10^{-6}$c. $50 \times 10^5=$ $\qquad$ $\times 10^3=$ $\qquad$ $\times 10^6$ $=$ $\qquad$ $\times 10^9$d. $30 \times 10^{-8}=$ $\qquad$ $\times 10^{-3}=$ $\qquad$ $\times 10^{-6}$$=$ $\qquad$ $\times 10^{-9}$
Perform the following conversions:a. $0.05 \mathrm{~s}$ to millisecondsb. $2000 \mu \mathrm{s}$ to millisecondsc. $0.04 \mathrm{~ms}$ to microsecondsd. $8400 \mathrm{ps}$ to microsecondse. $4 \times 10^{-3} \mathrm{~km}$ to millimetersf. $260 \times 10^3 \mathrm{~mm}$ to kilometers
Perform the following conversions:a. $1.5 \mathrm{~min}$ to secondsb. $0.04 \mathrm{~h}$ to secondsc. $0.05 \mathrm{~s}$ to microsecondsd. $0.16 \mathrm{~m}$ to millimeterse. $0.00000012 \mathrm{~s}$ to nanosecondsf. $3,620,000 \mathrm{~s}$ to days
Perform the following conversions:a. $0.1 \mu \mathrm{F}$ to picofaradsb. $80 \mathrm{~mm}$ to centimetersc. $60 \mathrm{~cm}$ to kilometersd. $3.2 \mathrm{~h}$ to millisecondse. $0.016 \mathrm{~mm}$ to micrometersf. $60 \mathrm{sq} \mathrm{cm}\left(\mathrm{cm}^2\right)$ to square meters $\left(\mathrm{m}^2\right)$
Perform the following conversions:a. 100 in. to metersb. $4 \mathrm{ft}$ to metersc. $6 \mathrm{lb}$ to newtonsd. 60,000 dyn to poundse. $150,000 \mathrm{~cm}$ to feetf. $0.002 \mathrm{mi}$ to meters $(5280 \mathrm{ft}=1 \mathrm{mi})$
What is a mile in feet, yards, meters, and kilometers?
Calculate the speed of light in miles per hour using the speed defined in Section 1.4.
How long in seconds will it take a car traveling at $60 \mathrm{mph}$ to travel the length of a football field ( $100 \mathrm{yd}$ )?
Convert $30 \mathrm{mph}$ to meters per second.
. If an athlete can row at a rate of $50 \mathrm{yd} / \mathrm{min}$, how many days would it take to cross the Atlantic ( $\cong 3000 \mathrm{mi}$ )?
How long would it take a runner to complete a $10 \mathrm{~km}$ race if a pace of $6.5 \mathrm{~min} / \mathrm{mi}$ were maintained?
Quarters are about 1 in. in diameter. How many would be required to stretch from one end of a football field to the other (100 yd)?
Compare the total time required to drive 100 miles at an average speed of $60 \mathrm{mph}$ versus an average speed of $75 \mathrm{mph}$. Is the time saved for such a long trip worth the added risk of the higher speed?
Find the distance in meters that a mass traveling at $600 \mathrm{~cm} / \mathrm{s}$ will cover in $0.016 \mathrm{~h}$.
Each spring there is a race up 86 floors of the 102 story Empire State Building in New York City. If you were able to climb 2 steps/second, how long would it take in minutes to reach the 86 th floor if each floor is $14 \mathrm{ft}$ high and each step is about 9 in.?
The record for the race in Problem 38 is 10 minutes, 47 seconds. What was the racer's speed in $\mathrm{min} / \mathrm{mi}$ for the race?
If the race of Problem 38 were a horizontal distance, how long would it take a runner who can run 5 min miles to cover the distance? Compare this with the record speed of Problem 39. Gravity is certainly a factor to be reckoned with!
Using Appendix A, determine the number ofa. Btu in $5 \mathrm{~J}$ of energy.b. cubic meters in $24 \mathrm{oz}$ of a liquid.c. seconds in 1.4 days.d. pints in $1 \mathrm{~m}^3$ of a liquid.
Perform the following operations using a single sequence of calculator keys:$6(4+8)=$
Perform the following operations using a single sequence of calculator keys: $\frac{20+32}{4}=$
Perform the following operations using a single sequence of calculator keys:$\sqrt{8^2+12^2}=$
Perform the following operations using a single sequence of calculator keys: $\cos 50^{\circ}=$
Perform the following operations using a single sequence of calculator keys:$\tan ^{-1} \frac{3}{4}=$
Perform the following operations using a single sequence of calculator keys:$\sqrt{\frac{400}{6^2+10}}=$
Perform the following operations using a single sequence of calculator keys:$\frac{8.2 \times 10^{-3}}{0.04 \times 10^3}$ (in engineering notation) $=$
Perform the following operations using a single sequence of calculator keys: $\frac{\left(0.06 \times 10^5\right)\left(20 \times 10^3\right)}{(0.01)^2}$ (in engineering notation) $=$
Perform the following operations using a single sequence of calculator keys: $\frac{4 \times 10^4}{2 \times 10^{-3}+400 \times 10^{-5}}+\frac{1}{2 \times 10^{-6}}$(in engineering notation) $=$
Investigate the availability of computer courses and computer time in your curriculum. Which languages are commonly used, and which software packages are popular?
Develop a list of three popular computer languages, including a few characteristics of each. Why do you think some languages are better for the analysis of electric circuits than others?