Chapter 2 : Basic Skills II - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
Objectives: The learner will...
...understand and work problems involving density
...identify the steps of the scientific method
...identify properties of matter as to whether they are chemical or physical
...compare the concepts of mass and weight
Vocabulary:
density : The ratio of mass to volume, e.g. grams/milliliter
hypothesis : a possible solution based on data
physical property:
that which can be observed without changing it's nature
chemical property:
that which when tested can alter it's nature
weight:
the force of gravity on a mass
 
This lesson concludes the basic skills you will need to succeed in physical science. The topics covered are DENSITY, SCIENTIFIC METHOD, PROPERTIES OF MATTER, and MASS vs. WEIGHT.


DENSITY
Will it sink or float? Is it pure gold or gold-plated lead? Determining an object's density can answer such questions as these. Density is defined as the ratio of mass to volume or how tightly packed the atoms are in a given space (volume). The equation we use to calculate density is: D = m / V (or m = D x V or V = m / D; m= mass in grams, V= volume in ml or cc's). The atoms themselves can also vary greatly in mass without a significant change in volume since they are mostly empty space with the nucleus containing most of the matter. This means that equal volumes of gold and silver can have the same number of atoms but the gold will have twice the mass because its nucleus has twice the protons and neutrons.

Space between individual atoms (and molecules) can also vary and affect the density. The atoms are slower and closest together (most dense) when they are in the solid state and farthest apart and faster when they are in the gaseous state.

Kilograms/Liter (Kg/L)
and grams/milliliter (g/ml) or grams/cubic centimeter (gm/cc) are the most common metric units of density. Here are some densities (g/ml) of common substances:
Water 1 Air .001 Wood .5 -.8 Oil .9
Lead 11.35 Zinc 7.113 Iron 7.894 Nickle 8.902
Gold 19.32 Silver 10.5 Copper 8.96 Mercury 13.546

So, how much volume (mL) would 50 grams of Nickle occupy? ( ans: V = m / D or V = 50 / 8.902 or 5.617 )

The Scientific Method

Science is best defined as a careful, disciplined, logical search for knowledge about any and all aspects of the universe, obtained by examination of the best available evidence and always subject to correction and improvement upon discovery of better evidence. What's left is magic. And it doesn't work. -- James Randi

It is a capital mistake to theorize before one has data. Insensibly one begins to twist facts to suit theories, instead of theories to suit facts. -Sir Arthur Conan Doyle

The scientific method is a logical approach to solving a problem.
The steps of the scientific method are:

a) Stating the problem
b) Gathering data through observation, experimentation, and research
c) Forming a hypothesis (possible solution based on data)
d) Testing the hypothesis
e) Conclusion

Suppose you built a water rocket and wanted to launch it so that it would travel the farthest horizontal distance. You suspect several possible factors might contribute to this desired effect, i.e. pressure, amount of water, wind speed and direction, mass of rocket, aerodynamic shape, and launch angle. You decide to not complicate your experiment so you only test one factor (launch angle) at a time, keeping all other factors constant. You choose a calm day, fill the rocket exactly half full with water, pump it with exactly 60 psi of pressure and launch it from the exact spot at a variety of differnt angles. You are smart enough to avoid zero and 90 degree launch angles, figuring neither will get you very far horizontally. You carefully measure the distance with a metric tape and record your angle vs. distance data, noticing that the farthest distances are in the 40 - 50 degree range. Further launches and smaller steps show the best angle to be 45 degrees, half way between horizontal and vertical. You hypothesize that 45 degrees is the best launch angle based on your data and observations but strongly suspect that the amount of water (rocket fuel) is also important. Locking the launch pad at 45 degrees you now begin to vary the amount of water and something unexpected occurs. More than half water makes the rocket fly a shorter distance and less than half water makes it fly even farther! You conclude that a launch angle of 45 degrees is important but not the only contributing factor and decide to plan further individualized testing of water amount, pressure, mass of rocket, and aerodynamic shape.

Properties of Matter


The two kinds of changes that occur in matter are physical and chemical. In a physical change, no new substance is formed. However, physical properties such as size, color, hardness, density (mass, volume), shape or phase (solid, liquid, gas) may change. In a chemical change, one or more new substances with new and different properties are formed. Flammability (burning), reactivity with acids, bases, or water (rusting of iron), are examples of chemical changes.

Mass vs. Weight

The concepts of mass and weight seem virtually identical but there is a difference. Take a 30 kg rock to the moon and imagine what characteristics about the rock have changed. It hasn't lost any of its matter so it still has a mass of 30 kg. But things weigh less on the moon, 1/6th its earth weight in fact. Weight is due to the force of gravity which varies from planet to planet and even varies slightly with changes in altitude (farther from the center of the earth). The metric weight unit is the Newton (N). 1 kilogram = 9.8 Newtons (neglecting friction, all matter accelerates toward earth at 9.8 meters/sec/sec). On the moon 1 kilogram = 1.6333 Newtons. So, our 30 kg rock would weigh 294 Newtons on the earth (30 x 9.8) and 49 Newtons on the moon (30 x 1.6333).

 
Practice: Help:
PB1
What is the density (g/mL) of a material with a mass of 7 grams and a volume of 31 mL ?
D = M ÷ V
D = 7 ÷ 31
PB2
What is the mass (g) of an object with a density of .7 g/mL and a volume of 42 mL ?
M = D x V
M = .7 x 42
PB3
What is the volume (mL) of an object with a density of 4.2 g/mL and a mass of 700 grams ?
V = M ÷ D
V
= 700 ÷ 4.2
PB4
What is the density (g/cc) of a material with a mass of 7 g and a volume of 2cm x 3cm x 5cm ?
D = M ÷ (LxWxH)
D = 7 ÷ (2x3x5)
PB5
What is the density (g/cc) of a material with a mass of 54 g and a volume .08 Liters?
convert L to mL (cc)
D = M ÷ V
D = 54 ÷ 80
PB6
What material has a mass of 42 grams and a volume of 5.3205 g/cc ?
compute density
look on chart
PB7
A 480.2 Newton weight on the earth would be how many kilograms ?

F = m * 9.8
987=m*9.8
987/9.8=m

PB8
A 68.6 Newton weight on the moon would be how many kilograms ?
F = m*g / 6
68.6=m*9.8 / 6
68.6*6/9.8=m
PB9
A mass of 50 kg would weigh how many Newtons on earth ?
F = m * g
F=50*9.8
PB10
If a mass was 112 kg what is its weight (N) on a planet with .3 earth gravity ?
F = m * g * .3
F= 112 * 9.8 * .3
answer bank: (2 are bogus)
329.28
.2258064
29.4
Lead
166.6666667
49
.233333333
Zinc
490
42
.675
Iron

Scientist Spotlight:
Antoine Lavoisier:
French chemist who, through a conscious revolution, became the father of modern chemistry. As a student, he stated "I am young and avid for glory."

Resources (Study Links/Study Tips/Reading Lists)
Mass, Volume, and Density (MathMol Project, NYU)
Online Scientific Method Quiz

Chapter 2 : Basic Skills II - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
©2002 Jacobson - LCHS
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