Transcript How does mathematics Affect science?

How does mathematics
Effect science?
By Laura Friel 8M7
MASS
Mass is the amount
of matter in an
object.
Mass is calculated
by using a triple
beam balance.
 In order to use a
triple beam balance
you must know how
to add, which is
where the math
comes into play.
 On the triple beam balance below,
the top beam reads 70grams, the
middle beam reads 300grams,
and the bottom beam reads
3.4grams
 Add them all up to get the total
mass of the object
Example:
70g. + 300g. + 3.4g.= 373.4grams
is the
amount of space in an
object.
EXAMPLE:
In
order to find
volume of a solid you
must know the length,
width, and height.
1.
Find
3.
Volume
all
measurements by
using a ruler and
measuring in
centimeters.
Use
the formula :
Length x Width x
Height
to find volume.
(V=LxWxH)
Your
end unit will
always be cm³.
(using the picture below)
2.
Write down the formula
V=LxWxH
Plug in the measurements
V=5cmx5cmx5cm
Calculate
V=125cm³
Need a
graduated
cylinder and a
triple beam
balance.

Must find mass
of the graduated
cylinder that will
be used while it is
empty.

EXAMPLE:
(using pictures below)
1.
Calculate mass
2.
3.
4.
5.
of empty graduated
cylinder
Pour liquid into graduated cylinder.
Calculate mass of the liquid in the
graduated cylinder
Subtract mass of graduated cylinder
and the number you get is the volume
of the liquid. (25g. – 5g.= 20g.)
Your volume is 20g.
No
specific
formula for this
method.
Unit
(g.)
is in grams
5 grams
(without liquid)
25 grams
(with liquid)
DENSITY
 Density is calculated through the formula
density=mass÷volume (D=M÷V)
EXAMPLE:
Use the following 3 steps to get your answer
1. Write the formula:
D=M÷V
2.
Plug in the information given:
D=20g.÷5cm
3.
Solve:
D=4 g/cm
M=20grams
V=5centimeters

Force is found through the formula:
Force=MassxAcceleration (F=MxA)
A horse has a mass of 400,000 grams and is moving
at an acceleration of 5 m/s². How strong is the force
being applied to make the horse move?
1. Write the formula:
F=MxA
2. Plug in the given information:
F=4,000x5
3. Solve:
F= 20,000newtons
***FORCE
ALWAYS USES
THE UNIT
‘NEWTONS’***

Found through the formula :
Momentum=MassxVelocity
A baby has a mass of 600grams and is crawling
at a velocity of 2m/s west. What is his
momentum?
STEPS:
1. Write the formula:
Momentum=MassxVelocity
2. Plug in the information you are given:
Momentum=600x2
3. Solve:
Momentum=1200g(m/s)west
MOMENTUM

Found through the formula:
Work=ForcexDistance (W=FxD)
If a person has to apply a force of 10 newtons to push a
couch 7 meters, how much work would be applied?
STEPS:
1.
Write the formula:
W=FxD
2.
Plug in the information given:
W=10x7
3.
Solve:
W=70joules
***WORK is
always used
with the unit
JOULES***
POWER

Power is found through the formula:
Power=Work/time (P=W/T)
A person is riding their bike using 45joules in 15minutes. What is the power?
1.
2.
3.
Write down the formula:
P=W/T
Plug in the information being provided:
P=45/15
Solve:
***WATTS will
P=3watts.
always be the unit
used for
POWER***
Weight on earth

Weight varies depending on where you are because it is a
measurement of gravity.

The formula used to find the weight of an object on
earth is Weight=.98xMass (W=.98xM)
A fulled storage box has a mass of 150grams. What is its weight
on earth?
1. Write down the formula:
W=.98xM
2.
3.
Plug in the mass:
W=.98x150
Solve:
W=147Grams.
***Unit VARIES
depending on the
unit you
STARTED
with***
Periodic
Table
 Each element has a number at the
top. That number is the atomic
mass
 All of the elements are arranged
from least to greatest based on
their atomic number. • math plays a key
part in this because
without numbers
the periodic table
itself would cease
to exist. Numbers
are needed to
organize the
elements and
without them, the
periodic table
would just be a
bunch of
information on
paper.
Elements on the Periodic Table
This all relates
to math
because with
out number
scales or
numbers, we
wouldn’t be
able to classify
all of the
elements in the
periodic table.
We also
wouldn’t be
able to tell the
difference in
mass between
elements.



92 stands for the atomic number. The
atomic number is the amount of protons
found in that atom.
The capital ‘U’ stands for the atomic
symbol. In other words, ‘U’ stands for
uranium.
238.02891 stands for
atomic mass.
Velocity and speed are found the same way, except
velocity has a direction and speed doesn’t.
A runner
To find the speed use the formula
finishes a
Speed=distance÷Time (S=D ÷ T)
24mile
Follow the steps below to solve.
marathon in
1. Write the formula:
an hour and
S= D ÷ T
30 minutes
heading
2. Plug in the given information:
west. What
S= 24miles÷1.5hours
was the
3. Solve:
speed and
S= 15miles per hour.
velocity of
**For velocity (V) you would just add
the runner?
the direction:
V=15miles per hour west
Acceleration
• Acceleration is the rate of change of an abject, or a measurement in
the increase of velocity.
• Can be found using the formula:
Acceleration= (final velocity– initial velocity)÷time
A = (Vf – Vi) ÷ T
EXAMPLE:
A car is going
at a velocity
of 10m/s.
Then it
increases to
15m/s in 5
seconds.
What is its
acceleration?
Follow the three steps below to solve for
acceleration:
1. Write out the formula:
A = (Vf – Vi) ÷ T
2. Plug in the information given:
A=(15m/s-10m/s) ÷ 5
3. Solve:
A= 1m/s²
SOLVE
5 Protons 5 Electrons
The charge is 0 because
the positive and negative
particles cancel out.
ATOMS!!
Because each particle has its own
charge, they usually all cancel each
other out. This is where math is
very important.
 If an atom has 5 protons, 6 neutrons
and 5 electrons what would the
overall charge be?
 Think of it this way:
Neutrons have no charge so
don’t affect the charge. The protons
and electrons do however. Turn it
into an equation.
LET x = charge of atom
5-5=x
0=x

Atoms are made
up of 2 different
parts, the
nucleus and the
electron cloud.
In each part
there are small
particles.
Protons and
neutrons are
found in the
nucleus.
Electrons are
found in the
electron cloud.
Each particle
has its own
charge.
Neutrons have
no charge,
protons are
positively
charged and
electrons are
negatively
charged.
Bar Graphs
Weight in pounds
weight of fruits
4.5
4
3.5
3
2.5
2
1.5
1
0.5
0
Bar graphs are used to
compare differences
between objects. This graph
is being used to compare the
different weights of the bags
of fruits. Without
mathematics the data on the
graph would be harder to
compare. On a graph you can
visually be able to compare
the objects rather than
having to take an educated
guess.
Follow
these
steps:
The
scientific 1: You are given the equation 4.5x 10³
notation
2: Because the 10 is to the 3rd power and is
can be
positive you move the decimal in 4.5
used to
three places to the right.
tell how
Example: 4.500.
far away
3: Your answer is 4,500 after the
planets
decimal is moved 3 places.
are from
**if the exponent was negative you would
earth or
move the decimal to the left because that
from other
would make the decimal smaller.**
planets.
Numeric form to scientific
notation
**If you had started
You are given the number 260
1.
You have to move the decimal in this
number so that it is equal to a
number greater than 1 and less than
10
2.
You should get the number 2.6 by
moving the decimal 2 places to the
left
3.
Your answer is 2.6x10². It is to the
second power cause you moved the
decimal 2 places and it is a positive
number because the number you
started with was a whole and natural
number.
with a decimal than
the exponent
would have been
negative rather than
positive. **
Works Cited
• Barry, Joyce Thornton. Painless Biology. Hauppauge, NY:
Barron's, 2009. 19-21. Print
• "What Is Acceleration?" What Is Acceleration. Web. 30 Dec.
2011. http://whatisacceleration.org/
• Helmenstine, Anne M. "ScientificNotation." Chemistry Periodic Table, Chemistry Projects, and Chemistry
Homework Help. New York times Company, 2012. Web.
08 Jan. 2012.
http://chemistry.about.com/od/convertcalcula
te/a/scientificnote.htm
• "Physical Science Formulas and Principles Flashcards |
Quizlet." Flash Cards, Vocabulary Memorization, and
Study Games | Quizlet. Quizlet LLC, 2012. Web. 08 Jan.
2012. http://quizlet.com/1689084/physical- scienceformulas-and-principles-flash-cards/