Admmodule - Stem - Gp12eu-Ia-1 - Lesson 1
Admmodule - Stem - Gp12eu-Ia-1 - Lesson 1
Admmodule - Stem - Gp12eu-Ia-1 - Lesson 1
General Physics1
Quarter 1 – Module 1:
Title: Units of Measurements
What I Need to Know
This module was designed and written with you in mind. It is here to help you master
the Units and Measurements. The scope of this module permits it to be used in many
different learning situations. The language used recognizes the diverse vocabulary
level of students. The lessons are arranged to follow the standard sequence of the
course. But the order in which you read them can be changed to correspond with
the textbook you are now using.
What I Know
Choose the letter of the best answer. Write the chosen letter on a separate sheet of
paper.
4. Covert 300C to 0F
a. -1.11 c. 271.89
b. 86 d. 359
7. How much wood do you need to a form a triangular garden frame if one
side of the frame has a length of 11 ft, and the other two sides are 2 feet
longer than the first side?
a. 33 ft c. 36 ft
b. 35 ft d. 37 ft
15. 10-4
10-2
a. 10-6 c. 102
b. 10-2 d. 106
Lesson
1 Units of Measurement
Physicists, like other scientists, make observations and ask basic questions.
For example, how big is an object? How much mass does it have? How far did it
travel? To answer these questions, they make measurements with various
instruments (e.g., meter stick, balance, stopwatch, etc.).
What’s In
How many millimeters (mm), centimeters (cm), inches (in), foot (ft)?
Physical Quantities
All physical quantities in the International System of Units (SI) are expressed
in terms of combinations of seven fundamental physical units, which are units for:
length, mass, time, electric current, temperature, amount of a substance, and
luminous intensity.
Some physical quantities are more fundamental than others. In physics, there
are seven fundamental physical quantities that are measured in base or physical
fundamental units: length, mass, time, electric current temperature, amount of
substance, and luminous intensity. Units for other physical quantities (such as force,
speed, and electric charge) described by mathematically combining these seven base
units. In this course, we will mainly use five of these: length, mass, time, electric
current and temperature. The units in which they are measured are the meter,
kilogram, second, ampere, kelvin, mole, and candela. All other units are made by
mathematically combining the fundamental units. These are called derived units.
Table 2 Metric Prefixes and symbols used to denote the different various factors of 10 in the
metric system
Example Example Example Example
Prefix Symbol Value
Name Symbol Value Description
Distance
Exa E 1018 Exameter Em 1018 m light travels
in a century
30 million
Peta P 1015 Petasecond Ps 1015 s
years
Powerful
Tera T 1012 Terawatt TW 1012 W
laser output
A
Giga G 109 Gigahertz GHz 109 Hz microwave
frequency
High
Mega M 106 Megacurie MCi 106 Ci
radioactivity
About 6/10
Kilo K 103 Kilometer Km 103 m
mile
Teaspoon of
Deka Da 101 Dekagram Dag 101 g
butter
100 (=1)
Less than
Deci D 10–1 Deciliter dL 10–1 L
half a soda
Fingertip
Centi C 10–2 Centimeter Cm 10–2 m
thickness
Example Example Example Example
Prefix Symbol Value
Name Symbol Value Description
Flea at its
Mili M 10–3 Millimeter Mm 10–3 m
shoulder
Detail in
Micro µ 10–6 Micrometer µm 10–6 m
microscope
Small speck
Nano N 10–9 Nanogram Ng 10–9 g
of dust
Small
Pico P 10–12 Picofarad pF 10–12 F capacitor in
radio
Size of a
Femto F 10–15 Femtometer Fm 10–15 m
proton
Time light
takes to
Atto A 10–18 Attosecond As 10–18 s
cross an
atom
The metric system is convenient because conversions between metric units can be
done simply by moving the decimal place of a number. This is because the metric
prefixes are sequential powers of 10. There are 100 centimeters in a meter, 1000
meters in a kilometer, and so on. In nonmetric systems, such as U.S. customary
units, the relationships are less simple—there are 12 inches in a foot, 5,280 feet in
a mile, 4 quarts in a gallon, and so on. Another advantage of the metric system is
that the same unit can be used over extremely large ranges of values simply by
switching to the most-appropriate metric prefix. For example, distances in meters
are suitable for building construction, but kilometers are used to describe road
construction. Therefore, with the metric system, there is no need to invent new units
when measuring very small or very large objects—you just have to move the decimal
point (and use the appropriate prefix).
What is It
Now we can set up our unit conversion. We will write the units that we have and
then multiply them by the conversion factor (1 km/1,000m) = 1, so we are simply
multiplying 80m by 1:
x × 10y
In this format x is the value of the measurement with all placeholder zeros removed.
In the example above, x is 8.4. The x is multiplied by a factor, 10 y, which indicates
the number of placeholder zeros in the measurement. Placeholder zeros are those at
the end of a number that is 10 or greater, and at the beginning of a decimal number
that is less than 1. In the example above, the factor is 10 14. This tells you that you
should move the decimal point 14 positions to the right, filling in placeholder zeros
as you go. In this case, moving the decimal point 14 places creates only 13
placeholder zeros, indicating that the actual measurement value is
840,000,000,000,000.
Numbers that are fractions can be indicated by scientific notation as well. Consider
the number 0.0000045. Its scientific notation is 4.5 × 10–6. Its scientific notation has
the same format
x × 10y
What’s More
1. 150 cm to m
2. 360 mm to m
3. 2100 cm3 to l
4. 1.2 GV to V
5. 4.6 ms to s
6. 450 K to 0F
1. Physical quantities are unit that describes the size of the quantity.
There are number that gives us the count of times the unit is contained
in the quantity being measured.
2. Physical Quantities are classified as fundamental and derived quantities.
Fundamental Quantities are the simplest form. Derived Quantities are
combination of fundamental Quantities.
3. Systems of measurement are Metric System of System International (SI) and
English System or British System of measurement.
4. Conversion of unit common method used is the factor-label method.
5. Scientific Notation is a convenient way of writing very small or very large
numbers. To write in scientific notation, follow the form N x 10 a, where N is
a number between 1 and 10, but not 10 itself, a is an integer (positive or
negative number)
6.
What I Can Do
Multiple Choice. Choose the letter of the best answer. Write the chosen letter on a
separate sheet of paper.
4. Covert 300C to 0F
a. -1.11 c. 271.89
b. 86 d. 359
7. How much wood do you need to a form a triangular garden frame if one
side of the frame has a length of 11 ft, and the other two sides are 2 feet
longer than the first side?
a. 33 ft c. 36 ft
b. 35 ft d. 37 ft
15. 10-4
10-2
a. 10-6 c. 102
b. 10-2 d. 106
What I Know What's More Assessment
1. A Activity 1.1 1. A
2. C 1. 1.5 m 2. C
3. B 3. B
4. B 2. 0.36 m 4. B
5. D 3. 2.1 l 5. D
6. B 4. 1.2 x 109 V 6. B
7. D 5. 4.6 x 10-3 s 7. D
6. 350.6 0F 8. B
8. B
Activity 1.2
9. C 9. C
A.
10. B 1. 9.8 x 101 10. B
11. A 2. 2.6 x 10-3 11. A
12. D 3. 4.01 x 10 -5 12. D
4. 6.439 x 102
13. A 13. A
5. 8.16 x 102
14. D 14. D
6. 4.58 x 104
15. B 7. 6.8 x 10-3 15. B
8. 5.6 x 103
9. 9.02 x 102
10.4.5 x 10-4
B.
1. .0006455
2. 0.0000031
3. 500
4. .0072
5. 0.00009
6. 7400
7. .093
8. 25000
9. 401
10.2.4
PHYSICS 1 ACTIVITY QUIZ #1
Choose the letter of the correct answer then shade the circle that corresponds to your answer in
the ANSWER SHEET. DO NOT SHADE LETTER D. (for Printed Modular Students only.)
1. Covert 67 210 millimeters to meters.
a. 6.721 c. 672 100
b. 67.21 d. 6 721 000
2. If 2 mL of liquid weighs 8 g, its density is
a. 0.5 g/mL c. 2 g/mL
b. 1 g/mL d. 4 g/mL
3. If the density of a substance is 8 g/mL, what volume would 16 g of the
substance occupy?
a. 2 mL c. 32 mL
b. 5 mL d. 320 mL
4. Covert 50C to 0F
a. 41 c. 271.89
b. 86 d. 359
5. How many cubic centimeters are there in a cubic meter?
a. 0.1 c. 106
b. 1 d. 102
6. What is the perimeter of a rectangular room that has a length of 5.1 m
and a width that is 2 m less than the length?
a. 14.2 m c. 16.4 m
b. 14.6 m d. 24.4 m
7. How much wood do you need to a form a triangular garden frame if one
side of the frame has a length of 11 ft, and the other two sides are 2 feet
longer than the first side?
a. 37 ft c. 36 ft
b. 35 ft d. 33 ft
8. How many inches is 9’10”?
a. 116” c. 118”
b. 129” d. 228”
9. How many yards is 9 mi?
a. 12 672 yards c. 16 040 yards
b. 14 500 yards d. 15 840 yards
10. Tessie measures her bathroom tiles to be 10 in by 8 in. What are the
length and width in cm?
a. 20.32 cm by 19.6 cm c. 25.4 cm to 24.5 cm
b. 25.4 cm by 20.32 cm d. 35.4 cm by 12.32 cm
11. 1.5 x 105
a. 0.000015 c. 1 500 000
b. 150 000 d. 11 500 000
17. The angel of elevation of the top of the building at a distance of 50m from its foot on a
horizontal plane is found to be 60 degrees. Find the height of the building in ft.
18. A string kite is 100 meters long and the inclination of the string with the ground is 60degrees.
Find the height of the kite in ft, assuming that there is no slack in the string.
19. A ladder is leaning against a vertical wall makes an angle of 20 degrees with the ground. The
foot of the ladder is 3m from the wall. Find the length of the ladder in ft.
a. 10 ft b. 10.47 ft c. 12 ft d. 12.47 ft