# 1.2 Physical quantities and units  (Page 4/18)

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Metric prefixes for powers of 10 and their symbols
Prefix Symbol Value See Appendix A for a discussion of powers of 10. Example (some are approximate)
exa E ${\text{10}}^{\text{18}}$ exameter Em distance light travels in a century
peta P ${\text{10}}^{\text{15}}$ petasecond Ps 30 million years
tera T ${\text{10}}^{\text{12}}$ terawatt TW powerful laser output
giga G ${\text{10}}^{9}$ gigahertz GHz a microwave frequency
mega M ${\text{10}}^{6}$ megacurie MCi high radioactivity
kilo k ${\text{10}}^{3}$ kilometer km about 6/10 mile
hecto h ${\text{10}}^{2}$ hectoliter hL 26 gallons
deka da ${\text{10}}^{1}$ dekagram dag teaspoon of butter
${\text{10}}^{0}$ (=1)
deci d ${\text{10}}^{-1}$ deciliter dL less than half a soda
centi c ${\text{10}}^{-2}$ centimeter cm fingertip thickness
milli m ${\text{10}}^{-3}$ millimeter mm flea at its shoulders
micro µ ${\text{10}}^{-6}$ micrometer µm detail in microscope
nano n ${\text{10}}^{-9}$ nanogram ng small speck of dust
pico p ${\text{10}}^{-\text{12}}$ picofarad pF small capacitor in radio
femto f ${\text{10}}^{-\text{15}}$ femtometer fm size of a proton
atto a ${\text{10}}^{-\text{18}}$ attosecond as time light crosses an atom

## Known ranges of length, mass, and time

The vastness of the universe and the breadth over which physics applies are illustrated by the wide range of examples of known lengths, masses, and times in [link] . Examination of this table will give you some feeling for the range of possible topics and numerical values. (See [link] and [link] .)

## Unit conversion and dimensional analysis

It is often necessary to convert from one type of unit to another. For example, if you are reading a European cookbook, some quantities may be expressed in units of liters and you need to convert them to cups. Or, perhaps you are reading walking directions from one location to another and you are interested in how many miles you will be walking. In this case, you will need to convert units of feet to miles.

Let us consider a simple example of how to convert units. Let us say that we want to convert 80 meters (m) to kilometers (km).

The first thing to do is to list the units that you have and the units that you want to convert to. In this case, we have units in meters and we want to convert to kilometers .

Next, we need to determine a conversion factor    relating meters to kilometers. A conversion factor is a ratio expressing how many of one unit are equal to another unit. For example, there are 12 inches in 1 foot, 100 centimeters in 1 meter, 60 seconds in 1 minute, and so on. In this case, we know that there are 1,000 meters in 1 kilometer.

Now we can set up our unit conversion. We will write the units that we have and then multiply them by the conversion factor so that the units cancel out, as shown:

$80\overline{)\text{m}}×\frac{\text{1 km}}{1000\overline{)\text{m}}}=0\text{.080 km.}$

Note that the unwanted m unit cancels, leaving only the desired km unit. You can use this method to convert between any types of unit.

a rare fraction and adjacent contraction of a sound wave are travelling in air and are separated by distance of 15cm, taken that velocity sound is 330ms what is the frequency?
Abbas
yes pls
Jennifer
Is ans 64/3
yuvraaj
what is speed and velocity
speed is scaler quantity and velocity is vector quantity speed has only magnitude and velocity has magnitude+direction both speed and velocity has same unit m/s
shubham
I am finding it hard to draw the velocity time graph, please can anyone assist me to know how to draw it, please?
bona
explain and draw how to measure length when using ruler, micrometer screw gauge and vernnier calliper
Calculate the average velocity in time interval 6sec to 12sec and determine the instantaneous velocity
the force is not constant in this case of tow car collide for short period of time ..why is the force is not constant?
hmmm
Fortune
calculate the average velocity in time interval 6sec to 12sec ad determine the instantaneous velocity
Lekiisi
meaning of the term si units
what what causes electric current
Chali
what what causes electric current
Chali
Charges(electron)
Caleb
Systeme international unitq@1qa@aaq
Caleb
Correct one international system of units.
Caleb
electric dynamo
albert
Electric dynamo is the sources of electric magnetic forces which utilize electromagnetic induction.
albert
A stone is dropped down a well, if it take 5 seconds to reach the water, how dip is the well
an aircraft at as steady velocity of 70m/so eastwards at a height of 800me drops a package of supplies .a, how long will it take for the package to rich the ground? b, how fast will it be going as it lands?
what is hypothesis theory law
Tamba
physics is the science of measurement
What is physics
what is physics
Obaro
Good question! Physics is the study of the nature world . Does this help?
Yonn
physics is the study of matter in relations to energy.
Enoch
physics is the science of measurements
Jide
physics is a science concern with nature and properties of matter and energy
Ugomma
what is a parallelogram law of motion?
Nancy
describe how you would find the area of an irregular shaped body?
Chali
physics is the study of natural phenomena at their most fundamental level
Yaseer
Definition for physics
It deal with matter and relation to energy
Soughie
physics is the Study of matter in relation to energy.
albert
physics is a natural science that study matter its behaviour and relation to energy.
mohammed
physic tells us more about quantities and measurement also
Kelly
life as we know it that can be measured and calculated
Jesus
what is a reference frame
what is anatomy in relation to physics
how does half life exist
The amount of time it takes a radioactive isotope to decay into a stable isotope is different for each radioactive isotope, and is characterized by its “half-life”. An isotope's half-life is the amount of time it takes for half the number of atoms of that isotope to decay to another isotope.
Nardine
what is the difference between Mass and weight
Pjustin
mass is constant while weight varies. unit of mass is kg, unit of weight is newton
Faith
how can a coin float in water and what principle governs it
in my opinion that work of surface tension but restrictions on coin is that coin do not break surface energy of molecules but some days before scientists prove that's another types of force
Aman
which force hold floating coins together thats my confusion
Aman