Sunday, September 11, 2011
Reflections for Term 3 Science Test
Why do the planets orbit the sun?
The basic reason why the planets revolve around, or orbit the sun (rotate actually is used to describe their spin, for example, the Earth completes one rotation about its axis every 24 hours, but it completes one revolution around the Sun every 365 days), is that the gravity of the Sun keeps them in their orbits. Just as the Moon orbits the Earth because of the pull of Earth's gravity, the Earth orbits the Sun because of the pull of the Sun's gravity.
Why, then, does it travel in an elliptical orbit around the Sun, rather than just getting pulled in all the way? This happens because the Earth has a velocity in the direction perpendicular to the force of the Sun's pull. If the Sun weren't there, the Earth would travel in a straight line. But the gravity of the Sun alters its course, causing it to travel around the Sun, in a shape very near to a circle. This is a little hard to visualize, so let me give you an example of how to visualize an object in orbit around the Earth, and it's analogous to what happens with the Earth and the Sun.
Imagine Superman is standing on Mt. Everest holding a football. He throws it as hard as he can, which is incredibly hard because he's Superman. Just like if you threw a football, eventually it will fall back down and hit the ground. But because he threw it so hard, it goes past the horizon before it can fall. And because the Earth is curved, it just keeps on going, constantly "falling," but not hitting the ground because the ground curves away before it can. Eventually the football will come around and smack Superman in the back of the head, which of course won't hurt him at all because he's Superman. That is how orbits work, but objects like spaceships and moons are much farther from the Earth than the football that Superman threw. This same situation can be applied to the Earth orbiting the Sun - except now Superman is standing on the Sun (which he can do because he's Superman) and he throws the Earth.
Well, so now we know, it is the gravity of the Sun that pulls the planets together! Hence, I am more or less half-correct :)
How does gravity work?
Every time you jump, you experience gravity. It pulls you back down to the ground. Without gravity, you'd float off into the atmosphere -- along with all of the other matter on Earth.
You see gravity at work any time you drop a book, step on a scale or toss a ball up into the air. It's such a constant presence in our lives, we seldom marvel at the mystery of it -- but even with several well-received theories out there attempting to explain why a book falls to the ground (and at the same rate as a pebble or a couch, at that), they're still just theories. The mystery of gravity's pull is pretty much intact.
Newton's Gravity
In the 1600s, an English physicist and mathematician named Isaac Newton was sitting under an apple tree -- or so the legend tells us. Apparently, an apple fell on his head, and he started wondering why the apple was attracted to the ground in the first place.
Newton publicized his Theory of Universal Gravitation in the 1680s. It basically set forth the idea that gravity was a predictable force that acts on all matter in the universe, and is a function of both mass and distance. The theory states that each particle of matter attracts every other particle (for instance, the particles of "Earth" and the particles of "you") with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
So the farther apart the particles are, and/or the less massive the particles, the less the gravitational force.
The standard formula for the law of gravitation goes:
Gravitational force = (G * m1 * m2) / (d2)
where G is the gravitational constant, m1 and m2 are the masses of the two objects for which you are calculating the force, and d is the distance between the centers of gravity of the two masses.
G has the value of 6.67 x 10E-8 dyne * cm2/gm2. So if you put two 1-gram objects 1 centimeter apart from one another, they will attract each other with the force of 6.67 x 10E-8 dyne. A dyne is equal to about 0.001 gram weight, meaning that if you have a dyne of force available, it can lift 0.001 grams in Earth's gravitational field. So 6.67 x 10E-8 dyne is a miniscule force.
When you deal with massive bodies like the Earth, however, which has a mass of 6E+24 kilograms, it adds up to a rather powerful gravitational force. That's why you're not floating around in space right now.
The force of gravity acting on an object is also that object's weight. When you step on a scale, the scale reads how much gravity is acting on your body. The formula to determine weight is:
weight = m * g
where m is an object's mass, and g is the acceleration due to gravity. Acceleration due to gravity on Earth, is 9.8 m/s² -- it never changes, regardless of an object's mass. That's why if you were to drop a pebble, a book and a couch off a roof, they'd hit the ground at the same time.
For hundreds of years, Newton's theory of gravity pretty much stood alone in the scientific community. That changed in the early 1900s.
Einstein's Gravity
Albert Einstein, who won the Nobel Prize in Physics in 1921, contributed an alternate theory of gravity in the early 1900s. It was part of his famous General Theory of Relativity, and it offered a very different explanation from Newton's Law of Universal Gravitation. Einstein didn't believe gravity was a force at all; he said it was a distortion in the shape of space-time, otherwise known as "the fourth dimension".
Basic physics states that if there are no external forces at work, an object will always travel in the straightest possible line. Accordingly, without an external force, two objects travelling along parallel paths will always remain parallel. They will never meet.
But the fact is, they do meet. Particles that start off on parallel paths sometimes end up colliding. Newton's theory says this can occur because of gravity, a force attracting those objects to one another or to a single, third object. Einstein also says this occurs due to gravity -- but in his theory, gravity is not a force. It's a curve in space-time.
According to Einstein, those objects are still travelling along the straightest possible line, but due to a distortion in space-time, the straightest possible line is now along a spherical path. So two objects that were moving along a flat plane are now moving along a spherical plane. And two straight paths along that sphere end in a single point.
Still more-recent theories of gravity express the phenomenon in terms of particles and waves. One view states that particles called gravitons cause objects to be attracted to one another. Gravitons have never actually been observed, though. And neither have gravitational waves, sometimes called gravitational radiation, which supposedly are generated when an object is accelerated by an external force.
(adapted from http://science.howstuffworks.com/environmental/earth/geophysics/question232.htm )The Working of Bicycle Gears
Bicycle Gears Basics
Bicycles have two sets of gears driven by a chain drive. The gears in the front are attached to the pedal axle, and the gears in the back are connected to the rear wheel. Most bikes have several gears of different sizes in both the front and back, and a derailleur, which can move the chain from one gear to another. When a cyclist pedals, the front gear pulls the chain, which in turn pulls the corresponding rear gear, turning the wheel.
Ratios
Every gear has a certain number of teeth proportional to its size. The ratio of the number of teeth on the front gear the cyclist uses to the number of teeth in the rear determines how fast the cyclist needs to pedal. If the front gear and the back gear both have 20 teeth, for example, the ratio is 1 to 1. The rear wheel will turn one time for every time the cyclist turns the pedals. If the front gear has 30 teeth and the rear has 10 teeth, the ratio is 3 to 1. The wheel turns three times for every turn of the pedal.
Effective Gearing
Low gears make it easy to pedal the bike, but hard to go fast. Higher gears allow you to go much faster, but require a lot of leg strength. Many bikers will shift down when climbing up a hill, then shift to a higher gear on a downhill or straightaway. Each biker has an optimum cadence at which his legs produce power most efficiently. Bicycle racers try to find this speed and adjust their gears so they are always moving their legs at the same rate.
(adapted from http://www.ehow.com/how-does_4701553_bicycles-gears-work.html )
Friday, September 9, 2011
Reflections for Trip to Science Centre
Refraction in the Working of the eye
The ratio of the sine of the angle incidence to the sine
i.e. Sin i/Sin r = constant
(The constant is the refractive index of the second medium with respect to the first medium)

The Amazing Facts of Thunder and Lightning

Introduction
Lightning is the most spectacular element of a thunderstorm. In fact it is how thunderstorms got their name. But most people would be asking, what does thunder have to do with lightning? Well, lightning causes thunder.
Lightning is a giant spark. A single strike of lightning can heat the air around it to 30,000 degrees Celsius! This extreme heating causes the air to expand at an explosive rate. The expansion creates a shock wave that turns into a booming sound wave, better known as thunder. This explains why it has the name thunderstorm.
Thunder and lightning occur at roughly the same time, although you see the flash of lightning before you hear the thunder. This is because light travels much faster than sound.
Lightning and thunder
The sky is filled with electric charge. In a calm sky, the positive (+) and negative (-) charges are evenly spaced throughout the atmosphere. Therefore, a calm sky has a neutral charge.
Inside a thunderstorm, the electric charge is spread out differently. A thunderstorm is made up of ice crystals and hailstones. The ice crystals have a positive charge, and the hailstones have a negative charge. An updraft pushes the ice crystals to the top of the thunderstorm cloud. At the same time, the hailstones are pushed to the bottom of the thunderstorm by its downdraft. These processes separate the positive and negative charges of the cloud into two levels: the positive charge at the top and the negative charge at the bottom.
During a thunderstorm, the Earth's surface has a positive charge. Because opposites attract, the negative charge at the bottom of the thunder cloud wants to link up with the positive charge of the Earth's surface.
Once the negative charge at the bottom of the cloud gets large enough, a flow of negative charge rushes toward the Earth. This is known as a stepped leader. The positive charges of the Earth are attracted to this stepped leader, so a flow of positive charge moves into the air. When the stepped leader and the positive charge from the earth meet, a strong electric current carries positive charge up into the cloud. This electric current is known as the return stroke and humans can see it as lightning.
Making your own lightning
There are ways for us to make our own lightning, however, don’t expect it to be a huge one, or else it would be too much for you to take. Firstly, lightning is just a bigger form of static electricity. Particles in the cloud rub together to produce static electricity. Lightning occurs when electrons are attracted to protons on the ground or in other clouds. Static electricity is in relation with lightning. Static electricity is formed when an object rubs against another object the electrons move between them. Electrons move from negatively charged objects to positively charged ones. We can create our own static electricity; however, it is beyond our natural abilities to see the “lightning” when the static is created. Light travels too fast hence it is only possible for us to feel the static created. These static we produce are easily produced in indoor areas; this is due to the lack of moisture content of the air, making the atmosphere less conductive. Normally, materials are made of atoms and molecules that are electrically neutral, because they have an equal number of positive charges (protons in the nucleus) and negative charges (electrons in "shells" surrounding the nucleus). The phenomenon of static electricity requires a separation of positive and negative charges. When two materials are in contact, electrons may move from one material to the other, which leaves an excess of positive charge on one material, and an equal negative charge on the other. When the materials are separated they retain this charge imbalance. Charge induction occurs when a negatively charged object repels electrons from the surface of a second object. This creates a region in the second object that is more positively charged. An attractive force is then exerted between the objects. For example, when a balloon is rubbed, the balloon will stick to the wall as an attractive force is exerted by two oppositely charged surfaces, for example the surface of the wall gains an electric charge due to charge induction, as the free electrons at the surface of the wall are repelled by the negative balloon, creating a positive wall surface, which is subsequently attracted to the surface of the balloon. Static electricity is usually caused when certain materials are rubbed against each other, like wool on plastic or the soles of shoes on carpet. The process causes electrons to be pulled from the surface of one material and relocated on the surface of the other material. This is a way of creating your own static electricity which will form some sort of lightning when you gain contact with somebody else.
Another safe and easy way to make lightning requires a cotton or wool blanket. This experiment works best on a dry, cool night. Firstly, turn out all the lights and let your eyes adjust to the darkness. Then, put the blanket behind you and hold your fist out about six inches in front of your face. With your other hand pull the blanket slowly over your head, making sure the blanket brushes over your hair. Also, do not let the blanket touch your fist, arm, or face. If the conditions are right, purple sparks will jump from your fist.
Conclusion
The topic “Lightning and Thunder” is indeed interesting, where both are related. Lightning is formed when the negative charge at the bottom of the cloud gets large enough, and a flow of negative charge rushes toward the Earth. However, thunder is formed due to the lightning. As a single strike of lightning can heat the air around it to 30,000 degrees Celsius, this extreme heating causes the air to expand at an explosive rate. The expansion creates a shock wave that turns into a booming sound wave, known as thunder.