1g physics (qty relationships)

The World of PHYSICS…

What is a Physicist?- is the one that studies physics. A physicist should also be

“B-O-R-I-N-G…?!”; an acronym which means…

B – elieves in a Cause-And-Effect RelationshipO – pen-mindedR – espects the ideas of othersI – maginativeN – aturally curiousG – enerates opinions based on evidence


Physics has been the best contributor of breakthroughs in science. In fact, it made into realities the hypothetical imaginations of the past.All of these were through due to the methodology used by physicists and discoverers… and this method is…

SCIENTIFIC METHOD.

Scientific method is a systematic way of solving problems.

*systematic means following a step or procedure.


*Steps in Scientific Method includes the following:

1. Identifying the PROBLEM.2. Formulating HYPOTHESIS.3. TESTING the hypothesis.4. Analyzing and verifying

RESULTS.5. Formulate CONCLUSIONS and

RECOMMENDATIONS.


In physics, we will be concerned with how quantities changes as other

quantities varied. These are quantity relationships which are mathematical and formulate equations using basic

concepts on variations.

These relationship variations are as follows:

1. Direct Relationship2. Inverse Relationship3. Direct – Square Relationship4. Inverse – Square Relationship

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Direct Relationship Variation.

Two variables x & y are directly proportional to each other if their ratio is

constant. In mathematical formula,

y = kxwhere k is the constant of variation. If x

is doubled, the value of y is also doubled.

The graph of a direct relationship is a straight line passing through the origin with a slope equal to the constant of

variation k. It is also known as a linear graph.

.

The World of PHYSICS…This is an example of Direct

Relationship Variation.Graph of Force VS. Elongation

Elongation (x) in centimeters (cm)

8.08.0

6.06.0

4.04.0

2.02.0

00 1.1. 00 2.2. 00

For

ce (

F)

in

New

ton

(N)

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Inverse Relationship Variation.

A variable y is inversely proportional to x if the product of x and y is a constant.

Mathematically expressed as…

xy = k

As the value of x increases, the value of y decreases proportionately so that their

product is a constant. For example, doubling the value of x; cuts the value of y into half. The graph of this relationship

is a hyperbola.

The World of PHYSICS…This is an example of an Inverse

Relationship Variation.Graph of Force VS. Elongation

Mass (m) in kilograms (kg)

1010

55

00 1.1. 00 2.2. 00

Acc

eler

atio

n (a

) in

m

/s2

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Acceleration Acceleration (m/s(m/s22))

10.010.0 5.05.0

Mass (kg)Mass (kg) 1.01.0 2.02.0


Direct Square Relationship Variation.

A variable y is directly proportional to the square of x if the ratio of y the

square of x is constant. Mathematically expressed as…

y = k x2

where k is the constant of variation. If you double the value of x, the value of y

will be quadrupled. The graph of this relationship when plotted is a parabola.


This is an example of Direct Square Relationship Variation.

x2

y

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1g physics (qty relationships)

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