1.
Give the metric prefix for: 1000.
Correct Answer
C. Kilo
Explanation
The correct answer is kilo.
2.
Give the metric prefix for: 0.001.
Correct Answer
C. Milli
Explanation
The correct answer is milli.
3.
Give the metric prefix for: 1,000,000.
Correct Answer
B. Mega
Explanation
The correct answer is mega.
4.
Give the metric abbreviation for: kilo.
Correct Answer
A. K
Explanation
The correct answer is "k".
5.
Type the metric abbreviation for mega. (Pay attention to whether it should be capitalized or not.)
Correct Answer
M
Explanation
The metric abbreviation for mega is "M".
6.
Type the metric abbreviation for centi.
Correct Answer
c
Explanation
The metric abbreviation for centi is "c".
7.
The abbreviation for "256 centimeters" would be "256 cm". Knowing this, type the abbreviation for "28 kilolitres".
Correct Answer
28 kL
Explanation
The correct abbreviation is "28 kL".
8.
Now, type the abbreviation for "52 milligrams".
Correct Answer
52 mg
Explanation
The correct answer is 52 mg.
9.
Finally, type the abbreviation for "192 millimetres".
Correct Answer
192 mm
Explanation
The correct answer is 192 mm.
10.
The SI unit for the abbreviation "35 kL" would be "35 kiloliters" or "35 kilolitres", depending on how British you're feeling. Knowing this, type the SI unit for "59 g".
Correct Answer
59 grams
Explanation
The correct answer is 59 grams.
11.
Write the SI unit for 24 m.
Correct Answer
24 metres
24 meters
Explanation
The correct answer is 24 meters.
12.
Type the SI unit for 35 mg.
Correct Answer
35 milligrams
Explanation
The correct answer is 35 milligrams.
13.
In scientific notation, 2,700,000 would be represented as , which could be easily typed as 2.7*10^6. Or, 0.0032 would be represented as , which could be easily typed as 3.2*10^-3. Knowing this, type 1,400,000 in scientific notation.
Correct Answer
1.4*10^6
Explanation
The correct answer is 1.4*10^6.
14.
Now, put 0.0000075 in scientific notation.
Correct Answer
7.5*10^-6
Explanation
The answer is 7.5*10^-6.
15.
If we reverse the procedure, we are putting the numbers in decimal form. For example, 7.2*10^3, in decimal form, would be 7200. Or, 7.2*10^-4 would be 0.00072. Knowing this, put 6.31*10^-4 in decimal form.
Correct Answer
0.000631
Explanation
The correct answer is 0.000631.
16.
Now, put 8.62*10^4 in decimal form.
Correct Answer
86200
86,200
Explanation
The correct answer is 86,200.
17.
Changing gears now - convert 5.94 m to feet. Include one decimal place ("29.3 feet", for example), rounding as appropriate. There is a conversion table in Appendix D of your textbook. If you aren't sure how to do this, ask me.
Correct Answer
19.5
19.5 feet
19.5 ft
Explanation
5.94 m * (3.28 ft / 1 m) = 19.5 ft.
18.
Convert 178 km to m. (Do not include any decimals - for example, "7,600 m".)
Correct Answer
178,000 m
178000 m
178,000 metres
178,000 meters
178000 meters
178000 metres
Explanation
178 km * (1000 m / 1 km) = 178000 m.
19.
Convert to . Put your answer in scientific notion, and write the unit as "m^3" (for example, "6.32*10^-3 m^3). Ask me if you don't know how to do this type of problem.
Correct Answer
2.75*10^-4 m^3
Explanation
275 cm^3 * (1 m / 100 cm)^3 = 2.75*10^-4 m^3.
20.
Convert 15 ft^2 to cm^2. Write the unit as cm^2, and do not include any decimal places (for example, "4356 cm^2").
Correct Answer
13935 cm^2
Explanation
15 ft^2 * (12 in / 1 ft)^2 * (2.54 cm / 1 in)^2 = 13935 cm^2
21.
There are 4.45 Newtons per pound. The weight of a car is 3500 lb. Find the weight in Newtons.
Correct Answer
15575 N
15575
15575 Newtons
15,575 N
15,575 Newtons
15,575
Explanation
3500 lb * (4.45 N / 1 lb) = 15575 N
22.
What is the largest cross-sectional area for a rectangular prism with sides 1 m, 2 m, and 3 m? Write the units as m^2 ("8 m^2" for example).
Correct Answer
6 m^2
Explanation
3 m * 2 m = 6 m^2
23.
Before continuing on, complete the "Problem Solving" worksheet, and read through "Basic Trigonometry for PHYS200".
Correct Answer
A. Done.
24.
Trig Practice Part I, #1, solve for x. Report answer to one decimal place.
Correct Answer
8.7
Explanation
10*cos(30) = 8.7
25.
Trig Practice Part I, #2, solve for x. Include one decimal place.
Correct Answer
7.5
Explanation
15*sin(30) = 7.5
26.
Trig Practice Part I, #3, solve for x. Include one decimal place.
Correct Answer
11.5
Explanation
x = 10 / cos(30) = 11.5
27.
Trig Practice Part I, #4, solve for x. Include one decimal place.
Correct Answer
7.8
Explanation
x = 5 / sin(40) = 7.8
28.
Trig Practice Part I, #5, solve for x. Include one decimal place.
Correct Answer
10.7
Explanation
x = 5 / tan(25) = 10.7
29.
Trig Practice Part I, #6, solve for x. Include one decimal place.
Correct Answer
17.3
Explanation
x = 10 / tan(30) = 17.3
30.
Trig Practice Part I, #7, solve for x. Include one decimal place.
Correct Answer
9.4
Explanation
x = 10*cos(20) = 9.4
31.
Trig Practice Part I, #8, solve for x. Include one decimal place.
Correct Answer
3.8
Explanation
x = 5*sin(50) = 3.8
32.
Trig Practice Part II, #1, solve for theta. Include one decimal place (and do not include degree symbol).
Correct Answer
48.2
Explanation
theta = arccos(10/15) = 48.2
33.
Trig Practice Part II, #2, solve for theta. Include one decimal place.
Correct Answer
30.0
Explanation
theta = arcsin(10/20) = 30.0
34.
Trig Practice Part II, #3, solve for theta. Include one decimal place.
Correct Answer
70.5
Explanation
theta = arccos(10/30) = 70.5
35.
Trig Practice Part II, #4, solve for theta. Include one decimal place.
Correct Answer
17.5
Explanation
theta = arcsin(15/50) = 17.5
36.
Trig Practice Part II, #5, solve for theta. Include one decimal place.
Correct Answer
45.0
Explanation
theta = arctan(10/10) = 45.0
37.
Trig Practice Part II, #6, solve for theta. Include one decimal place.
Correct Answer
33.7
Explanation
theta = arctan(10/15) = 33.7
38.
Trig Practice Part II, #7, solve for theta. Include one decimal place.
Correct Answer
72.5
Explanation
theta = arccos(3/10) = 72.5
39.
Trig Practice Part II, #8, solve for theta. Include one decimal place.
Correct Answer
11.5
Explanation
theta = arcsin(1/5) = 11.5
40.
Before continuing, please read "Basic Vectors for PHYS200".
Correct Answer
A. Done.
41.
Vector Practice, #1 - what is the x-component of vector 5? (Be careful about signs.)
Correct Answer
-4
42.
What is the y-component of vector 5?
Correct Answer
-8
43.
What is the x-component of vector 9?
Correct Answer
3
44.
What is the y-component of vector 9?
Correct Answer
9
45.
Vector practice #2 - what is the x-component of the vector drawn? Answer to 2 decimal places and include a unit ("0.45 m", for example).
Correct Answer
0.85 m
Explanation
(2 m)*sin(25) = 0.85 m
46.
Vector practice 2 - what is the y-component of the vector drawn? (Answer to 2 decimal places and include units, "3.45 m" for example.)
Correct Answer
1.81 m
Explanation
(2 m)*cos(25) = 1.81 m
47.
A bulldozer travels 350 m to the north, and then 275 m to the west. What distance would the bulldozer travel if it could go directly to the endpoint? (You'll be asked about angle in a moment.) Include no decimal places ("365 m", for example).
Correct Answer
445 m
Explanation
Your can do this with the Pythagorean Theorem. The distance is equal to SQRT(350^2+275^2) = 445 m. IF YOU CANNOT GET THIS, ASK ME AND I'LL SHOW YOU HOW.
48.
A bulldozer travels 350 m north, and then 275 m west. At what angle, west of north, does the bulldozer end up relative to its starting position? Answer to one decimal place, and do not include the degree symbol.
Correct Answer
38.1
Explanation
theta = arctan(275/350) = 38.1
49.
Final question - find the resultant vector, angle of length, in Vector Practice #3.
Correct Answer
A. 3.24 m at 22.9 degrees above the positive x-axis.