Difference between revisions of "AY Honors/Physics/Answer Key"
| Line 85: | Line 85: | ||
<math>1X10^9</math>=1,000,000,000 | <math>1X10^9</math>=1,000,000,000 | ||
| − | <math>6.02X10^{23}</math> | + | <math>6.02X10^{23}</math> = 602,000,000,000,000,000,000,000 |
<math>2.9979^8=299,790,000</math> | <math>2.9979^8=299,790,000</math> | ||
| Line 91: | Line 91: | ||
For small numbers the exponent is negative | For small numbers the exponent is negative | ||
| − | 0.00001= <math>1X10^-5</math> | + | 0.00001= <math>1X10^{-5}</math> |
| − | 0.000000015=<math>1.5X10^-8</math> | + | 0.000000015=<math>1.5X10^{-8}</math> |
The exponent tells us how many places we need to move the decimal point. We move it to the right for positive exponents and we move it to the left for negative exponents. | The exponent tells us how many places we need to move the decimal point. We move it to the right for positive exponents and we move it to the left for negative exponents. | ||
Revision as of 15:24, 26 October 2006
1. Define the following:
a. Physics
A branch of science that deals with matter, energy, motion, charge, and force.
Physics uses a number of tools such as a balance, meter or ruler, clock or stop watch. Physicist also use more complicated tools as they look at more complicated events. The most important tool of physics is mathematics. You can think of Mathematis as the language of physics.
b. Mass
A quantity of matter related to weight by Newton's second law of motion represented mathematically as [math]\displaystyle{ F=m \times A }[/math]
c. Work
A measure of energy. If we push a heavy load, then the work that we do is how hard we push the load times how far we push the load.
[math]\displaystyle{ Work=Force \times distance }[/math]
d. Force
An influence on an object that causes the object to move or change direction.
e. Power
How much energy expended per unit of time. If you can do lots of work quickly, then you are using more power.
[math]\displaystyle{ Power= \frac{(Work\ done)}{(time\ it\ took\ to\ do\ the\ work)} }[/math]
f. Potential energy
The energy of an object based on its relation to other objects. For example if I lift a ball above the ground by a given distance, then the ball has the potential to fall the distance that I've raised it. The potential energy of a ball can be measured by measuring how high you raise the ball against the force of gravity on the mass of the ball.
Potential energy of the ball (E) = Mass of ball (m) * Accelleration of gravity (g) * height we rase the ball (h)
We write this [math]\displaystyle{ E=mgh }[/math]
g is the acceleration of gravity and is 9.8 m/sec/sec or 32 feet/sec/sec
g. Kinetic energy
The amount of energy that an object has based on its motion relative to other objects. Kinetic energy in it's simplest form is related to the speed of an object in relation to the observer. Kinetic energy in it's most complex form can be heat
The kinetic energy of a moving ball can be measured by knowing 2 things about the object 1) The mass of the object. (Determined using a scale.) 2) The velocity of the object (Time how long it takes to travel a given distance)
[math]\displaystyle{ Kinetic\ energy = 0.5 \times (Mass\ of\ object) \times (Velocity\ of\ object)^2 }[/math]
h. Weight
The force that gravity exerts upon a body. According to Newtons second Law of motion:
[math]\displaystyle{ The\ weight = (mass\ of\ object) \times (local\ acceleration\ of\ gravity) }[/math]
Weight is commonly mistaken for mass, but weight could be significantly more on a planet with larger gravity, or could be significantly less on a planet with a lower gravity. Mass on the other hand is the same in both circomstances.
i. Matter
Something that has mass. There are four states of matter: solid, liquid, gas, and plasma.
j. Inertia
A property of matter that works against an external force. According to Newton's first law of motion, a body at rest tends to stay at rest unless acted on by an outside force. An object in motion tends to stay in motion unless acted on by a force.
k. Friction
The rubbing of surface one object against the surface of another.
At the atomic level you can think of bumpy surface like sand paper rubbing against another surface. When the two surfaces are at rest, the high spots of one surface fit into the valleys of the other surface and it takes quite a bit of force to move one over the other. Once they are moving, the two surfaces bounce from peak to peak like a skiier only hitting the tops of the moguls.
l. Wave
A disturbance traveling through a medium by which energy is transferred from one particle of the medium to another without causing any permanent displacement of the medium itself.
In a guitar string for example, the string will vibrate up and down, but the particles that form the string do not move horizonally along the string. Likewise, if you throw a pebble into the water, the water goes up and down and the wave spreads out from the splash point, but there is not a flow of liquid along the surface of the water.
m. Center of gravity
The point from which all the gravitational forces within an object appear to come. This point is the same as the center of mass in a uniform gravitational field.
n. Exponential notation
Scientific notation is a mathematical notation that makes it easier to work with very large numbers or with very small numbers. In physics it is very common to have very large numbers such as the number of atoms in a drop of water, or the number of stars in a galaxy. It is also quite possible to have very small numbers such Planck's constant.
We write numbers in scientific notation by getting rid of the zero space holders.
In large numbers
[math]\displaystyle{ 1X10^9 }[/math]=1,000,000,000
[math]\displaystyle{ 6.02X10^{23} }[/math] = 602,000,000,000,000,000,000,000
[math]\displaystyle{ 2.9979^8=299,790,000 }[/math]
For small numbers the exponent is negative
0.00001= [math]\displaystyle{ 1X10^{-5} }[/math]
0.000000015=[math]\displaystyle{ 1.5X10^{-8} }[/math]
The exponent tells us how many places we need to move the decimal point. We move it to the right for positive exponents and we move it to the left for negative exponents.
Exponential notation is used on many calculators and programming laguages. the X10 is replaced by the letter E
We would write [math]\displaystyle{ 31E6 }[/math] instead of [math]\displaystyle{ 31X10^6 }[/math].
o. Absolute zero
A theoretical minimum temperature at which all motion of an atom ceases.
This minimum temperature is:
0° Kelvin= -273° Centegrade = –459.67° Fahrenheit
p. Fulcrum
The support, on which a lever turns in moving a body.
The Center support of a teeter totter is the fulcrum.
2. What is the scientific method? How can the scientific method be used to study the Bible?
All Science starts with observations. A Biologist might observe a bird and describe its colors or actions. A chemist might note a pungent aroma. This would be an observation. We use our senses, or use machines that can increase the power of our senses.
The observation causes us to ask basic questions about the event. These questions can form the basis of a hypothesis. A hypothesis is a scientist's guess about what might explain the observations. A hypothesis is most useful if it suggests an experiment that can be done to either prove or disprove the ideas we have as to the way things work.
We can summarize this by
observe-> hypothesis -> experiment
When an idea has been tested many times it is called a theory, and if it is tested so thoroughly that we are sure that it right it might be called a Law.
The scientific method can be applied to any field of study, and tends to be self corrective. Errors cannot stand long - when others do the experiment they will either get the same results or different results. If they get different results, then more observation, hypothoses, and experiments are needed.
The study of the Bible can be enhanced by observing a text and then experimenting based on the ideas that come from that text. For example, If you read the text in Malachi 3:10
Bring the whole tithe into the storehouse, that there may be food in my house. Test me in this," says the LORD Almighty, "and see if I will not throw open the floodgates of heaven and pour out so much blessing that you will not have room enough for it.
Your hypothesis might be that God will bless you if you return your tithe. If you take action on these thoughts and do the experiment, you can find out if it is true.
3. What is a controlled experiment?
A controlled experiment is an experiment where you try to eliminate other factors that might affect the result. Let's look at one of the most famous Physics experiments and possibly one of the most important of all time. It will illustrate how we can deal with and control the variables. The experiment was done by an Italian Scientist by the name of Galileo Galilei.
For almost 2,000 years people believed the philosopher Aristotle who said that heavier objects fall faster than lighter objects. At the time of Galileo, there was no scientific method, and so people believed Aristotle based on his authority. Aristotle's idea was more than a hypothesis, in the minds of the people this was a law of physics.
Galileo asked questions about this law. It is obvious that a feather really does fall slower than a hammer, but is this because air resistance prevents a feather from falling at full speed. He did some thought experiments similar to this. If weight really does make an object fall faster, then what would happen if we took a rock and broke it in two equal parts and tied the parts together with a string wouldn't they fall at the same speed as a rock that was equal in weight to the first rock?
4. Explain the terms in Albert Einstein's [math]\displaystyle{ E=mc^2 }[/math] equation.
5. What units of measure for mass, length, and time are used where you live?
6. What units of measure are used for time prophecy in the Bible? What is the chapter and verse where they can be found?
7. List Newton's three laws of motion.
8. Using a table cloth and several heavy books, demonstrate Newton's first law of motion.
9. Using an air-filled balloon, demonstrate Newton's third law of motion.
10. Demonstrate Galileo's falling body experiment by dropping two plastic beverage bottles (one full of water, the other half full) at the same time from a height of seven feet. Record the results and draw a spiritual application from this experiment.
11. Demonstrate the mechanical advantage of levers by pulling a large nail, driven deeply into a board, using only a hammer. Pull a second nail using a hammer and a small block of wood, located near the nail, under the head of the hammer. Note the difference in force required to pull the nail with different positions on the hammer on the block (fulcrum) and draw a spiritual application from this experiment.
References
About the Author
--Rodneyeast 14:06, 23 October 2006 (UTC)
Rodney East works with a Pathfinder Club in Glenn Ellyn Illinois, and has been involved with Pathfinder from the age of 9 when his grandmother introduced him to the stars by working on the Star honor.
He studied everything he could find on astronomy as he was growing up and finally graduated from Pacific Union College with a Bachelors degree in Physics with an emphasis in Astronomy.
He now works in the Information Technology group of the Advanced Photon Source at Argonne National Laboratory.
Rodney and Stephanie East Produced a DVD entitled "Why Knot, an introduction to knots, rope, and splices" to help teach the knots honor. This video is available through Advent Source.
