The parallelogram method is restricted to the addition of just two
vectors. However, it is arguably the most intuitive way of adding twoforces acting on a point.
Algebraic addition and subtraction of vectors
Vectors in a straight line
Whenever you are faced with adding vectors acting in a straight line (i.e. some directed left and some right, or some acting up and others down) you can use a very simple algebraic technique:
Method: Addition/Subtraction of Vectors in a Straight Line
Choose a positive direction. As an example, for
situations involving displacements in the directions west and east, youmight choose west as your positive direction. In that case,
displacements east are negative.
Next simply add (or subtract) themagnitude of the vectors using the appropriate signs.
As a final step the direction of the resultant should be included in
words (positive answers are in the positive direction, while negativeresultants are in the negative direction).
Let us consider a few examples.
A tennis ball is rolled towards a wall which is 10 m away from the ball. If after striking the wall the ball rolls a further 2,5 m along the ground away from the wall, calculate algebraically the ball's resultant displacement.
We know that the resultant displacement of the ball
(
) is equal to the sum of the ball's separate
displacements (
and
):
Since the motion of the ball is in a straight line (i.e. the ball
moves towards and away from the wall), we can use the method of algebraic additionjust explained.
Let's choose the
positive direction to be towards the wall. This means that the
negative direction is away from the wall.
With right positive:
Next we simply add the two displacements to give the resultant:
Finally, in this case
towards the wall is the positive direction , so:
= 7,5 m towards the wall.
Suppose that a tennis ball is thrown horizontally towards a wall at an initial velocity of 3 m
s
to the right. After striking the wall, the ball returns to the thrower at 2 m
s
. Determine the change in velocity of the ball.
A quick sketch will help us understand the problem.
Remember that velocity is a vector. The change in the velocity of the
ball is equal to the difference between the ball's initial and finalvelocities:
Since the ball moves along a straight line (i.e. left and right), we
can use the algebraic technique of vector subtraction just discussed.
Choose the
positive direction to be towards the wall. This means that the
negative direction is away from the wall.
Thus, the change in velocity of the ball is:
Remember that in this case
towards the wall means a positive velocity , so
away from the wall means a negative velocity :
away from the wall.
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
