Step 3.To get the magnitude
of the resultant, use the Pythagorean theorem:
Step 4.To get the direction of the resultant:
The following example illustrates this technique for adding vectors using perpendicular components.
Adding vectors using analytical methods
Add the vector
to the vector
shown in
[link] , using perpendicular components along the
x - and
y -axes. The
x - and
y -axes are along the east–west and north–south directions, respectively. Vector
represents the first leg of a walk in which a person walks
in a direction
north of east. Vector
represents the second leg, a displacement of
in a direction
north of east.
Strategy
The components of
and
along the
x - and
y -axes represent walking due east and due north to get to the same ending point. Once found, they are combined to produce the resultant.
Solution
Following the method outlined above, we first find the components of
and
along the
x - and
y -axes. Note that
,
,
, and
.
We find the
x -components by using
, which gives
and
Similarly, the
y -components are found using
:
and
The
x - and
y -components of the resultant are thus
and
Now we can find the magnitude of the resultant by using the Pythagorean theorem:
so that
Finally, we find the direction of the resultant:
Thus,
Discussion
This example illustrates the addition of vectors using perpendicular components. Vector subtraction using perpendicular components is very similar—it is just the addition of a negative vector.
Subtraction of vectors is accomplished by the addition of a negative vector. That is,
. Thus,
the method for the subtraction of vectors using perpendicular components is identical to that for addition . The components of
are the negatives of the components of
. The
x - and
y -components of the resultant
are thus
and
and the rest of the method outlined above is identical to that for addition. (See
[link] .)
Analyzing vectors using perpendicular components is very useful in many areas of physics, because perpendicular quantities are often independent of one another. The next module,
Projectile Motion , is one of many in which using perpendicular components helps make the picture clear and simplifies the physics.
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life