MATHEMATICS IN PHYSICS:
•Physics Uses mathematics as a powerful language.
•In physics, equations are important tools for modeling observations and for making
predictions.
DEMENSIONAL ANALYSIS:
•Choose a conversion factor that will make the units cancel, leaving the answer in the
correct units.
•For example:
•To convert l.34 kg of iron ore to grams, do as shown below:
•= 1.34 kg [1000g/1kg]
•= 1340
GRAPHING DATA:
Linear relationships:
•
When the line of best fit is a straight line,
as in the figure, the dependent variable varies
linearly with the independent variable.This relationship
between the two variables is called a linear relationship.
•
The relationship can be written as an equation.
Y=mx+b
LINEAR RELATIONSHIP:
•The slope is the ratio of the vertical change to the horizontal change.
To find the slope, select two points, A and B , far apart on the line.
•The vertical change,or rise ∆y, is the difference between
the vertical values A and B.
•The horizontal change,or run ∆x, is the difference between
the horizontal values A and B.
NON LINEAR RELATIONSHIP:
•The graph shown in the figure is quadratic relationship.
•A quadratic relationship exists when one variable depends
on the square of another.
•A quadratic relationship can be represented by the following
questions.
Y=ax²+bx-c
NON LINEAR RELATIONSHIP:
•In an inverse relationship, a hyperbola results when one
variable depends on the inverse of the other.
•An inverse relationship can be represented by the
following equation:
Y=A/X