THE SPOT ON THE TABLE.
A boy, recently home from school, wished to give his father an
exhibition of his precocity. He pushed a large circular table into the
corner of the room, as shown in the illustration, so that it touched
both walls, and he then pointed to a spot of ink on the extreme edge.
"Here is a little puzzle for you, pater," said the youth. "That spot is
exactly eight inches from one wall and nine inches from the other. Can
you tell me the diameter of the table without measuring it?"
The boy was overheard to tell a friend, "It fairly beat the guv'nor;"
but his father is known to have remarked to a City acquaintance that he
solved the thing in his head in a minute. I often wonder which spoke the
truth.
ACADEMIC COURTESIES.
In a certain mixed school, where a special feature was made of the
inculcation of good manners, they had a curious rule on assembling every
morning. There were twice as many girls as boys. Every girl made a bow
to every other girl, to every boy, and to the teacher. Every boy made a
bow to every other boy, to every girl, and to the teacher. In all there
were nine hundred bows made in that model academy every morning. Now,
can you say exactly how many boys there were in the school? If you are
not very careful, you are likely to get a good deal out in your
calculation.
THE THIRTY-THREE PEARLS.
"A man I know," said Teddy Nicholson at a certain family party,
"possesses a string of thirty-three pearls. The middle pearl is the
largest and best of all, and the others are so selected and arranged
that, starting from one end, each successive pearl is worth L100 more
than the preceding one, right up to the big pearl. From the other end
the pearls increase in value by L150 up to the large pearl. The whole
string is worth L65,000. What is the value of that large pearl?"
"Pearls and other articles of clothing," said Uncle Walter, when the
price of the precious gem had been discovered, "remind me of Adam and
Eve. Authorities, you may not know, differ as to the number of apples
that were eaten by Adam and Eve. It is the opinion of some that Eve 8
(ate) and Adam 2 (too), a total of 10 only. But certain mathematicians
have figured it out differently, and hold that Eve 8 and Adam a total of
16. Yet the most recent investigators think the above figures entirely
wrong, for if Eve 8 and Adam 8 2, the total must be 90."
"Well," said Harry, "it seems to me that if there were giants in those
days, probably Eve 8 1 and Adam 8 2, which would give a total of 163."
"I am not at all satisfied," said Maud. "It seems to me that if Eve 8 1
and Adam 8 1 2, they together consumed 893."
"I am sure you are all wrong," insisted Mr. Wilson, "for I consider that
Eve 8 1 4 Adam, and Adam 8 1 2 4 Eve, so we get a total of 8,938."
"But, look here," broke in Herbert. "If Eve 8 1 4 Adam and Adam 8 1 2 4
2 oblige Eve, surely the total must have been 82,056!"
At this point Uncle Walter suggested that they might let the matter
rest. He declared it to be clearly what mathematicians call an
indeterminate problem.
THE LABOURER'S PUZZLE.
Professor Rackbrane, during one of his rambles, chanced to come upon a
man digging a deep hole.
"Good morning," he said. "How deep is that hole?"
"Guess," replied the labourer. "My height is exactly five feet ten
inches."
"How much deeper are you going?" said the professor.
"I am going twice as deep," was the answer, "and then my head will be
twice as far below ground as it is now above ground."
Rackbrane now asks if you could tell how deep that hole would be when
finished.
THE TRUSSES OF HAY.
Farmer Tompkins had five trusses of hay, which he told his man Hodge to
weigh before delivering them to a customer. The stupid fellow weighed
them two at a time in all possible ways, and informed his master that
the weights in pounds were 110, 112, 113, 114, 115, 116, 117, 118, 120,
and 121. Now, how was Farmer Tompkins to find out from these figures how
much every one of the five trusses weighed singly? The reader may at
first think that he ought to be told "which pair is which pair," or
something of that sort, but it is quite unnecessary. Can you give the
five correct weights?
MR. GUBBINS IN A FOG.
Mr. Gubbins, a diligent man of business, was much inconvenienced by a
London fog. The electric light happened to be out of order and he had to
manage as best he could with two candles. His clerk assured him that
though both were of the same length one candle would burn for four hours
and the other for five hours. After he had been working some time he put
the candles out as the fog had lifted, and he then noticed that what
remained of one candle was exactly four times the length of what was
left of the other.
When he got home that night Mr. Gubbins, who liked a good puzzle, said
to himself, "Of course it is possible to work out just how long those
two candles were burning to-day. I'll have a shot at it." But he soon
found himself in a worse fog than the atmospheric one. Could you have
assisted him in his dilemma? How long were the candles burning?
Read more articles on mathematics and math puzzles at my blog www.mathtutoronline.blogspot.com and
www.articlesoneducation.blogspot.com
Thursday, May 14, 2009
10 Mathematics Money Puzzles
1.--A POST-OFFICE PERPLEXITY.
In every business of life we are occasionally perplexed by some chance
question that for the moment staggers us. I quite pitied a young lady in
a branch post-office when a gentleman entered and deposited a crown on
the counter with this request: "Please give me some twopenny stamps, six
times as many penny stamps, and make up the rest of the money in
twopence-halfpenny stamps." For a moment she seemed bewildered, then her
brain cleared, and with a smile she handed over stamps in exact
fulfilment of the order. How long would it have taken you to think it
out?
2.--YOUTHFUL PRECOCITY.
The precocity of some youths is surprising. One is disposed to say on
occasion, "That boy of yours is a genius, and he is certain to do great
things when he grows up;" but past experience has taught us that he
invariably becomes quite an ordinary citizen. It is so often the case,
on the contrary, that the dull boy becomes a great man. You never can
tell. Nature loves to present to us these queer paradoxes. It is well
known that those wonderful "lightning calculators," who now and again
surprise the world by their feats, lose all their mysterious powers
directly they are taught the elementary rules of arithmetic.
A boy who was demolishing a choice banana was approached by a young
friend, who, regarding him with envious eyes, asked, "How much did you
pay for that banana, Fred?" The prompt answer was quite remarkable in
its way: "The man what I bought it of receives just half as many
sixpences for sixteen dozen dozen bananas as he gives bananas for a
fiver."
Now, how long will it take the reader to say correctly just how much
Fred paid for his rare and refreshing fruit?
3.--AT A CATTLE MARKET.
Three countrymen met at a cattle market. "Look here," said Hodge to
Jakes, "I'll give you six of my pigs for one of your horses, and then
you'll have twice as many animals here as I've got." "If that's your
way of doing business," said Durrant to Hodge, "I'll give you fourteen
of my sheep for a horse, and then you'll have three times as many
animals as I." "Well, I'll go better than that," said Jakes to Durrant;
"I'll give you four cows for a horse, and then you'll have six times as
many animals as I've got here."
No doubt this was a very primitive way of bartering animals, but it is
an interesting little puzzle to discover just how many animals Jakes,
Hodge, and Durrant must have taken to the cattle market.
4.--THE BEANFEAST PUZZLE.
A number of men went out together on a bean-feast. There were four
parties invited--namely, 25 cobblers, 20 tailors, 18 hatters, and 12
glovers. They spent altogether L6, 13s. It was found that five cobblers
spent as much as four tailors; that twelve tailors spent as much as nine
hatters; and that six hatters spent as much as eight glovers. The puzzle
is to find out how much each of the four parties spent.
5.--A QUEER COINCIDENCE.
Seven men, whose names were Adams, Baker, Carter, Dobson, Edwards,
Francis, and Gudgeon, were recently engaged in play. The name of the
particular game is of no consequence. They had agreed that whenever a
player won a game he should double the money of each of the other
players--that is, he was to give the players just as much money as they
had already in their pockets. They played seven games, and, strange to
say, each won a game in turn, in the order in which their names are
given. But a more curious coincidence is this--that when they had
finished play each of the seven men had exactly the same amount--two
shillings and eightpence--in his pocket. The puzzle is to find out how
much money each man had with him before he sat down to play.
6.--A CHARITABLE BEQUEST.
A man left instructions to his executors to distribute once a year
exactly fifty-five shillings among the poor of his parish; but they were
only to continue the gift so long as they could make it in different
ways, always giving eighteenpence each to a number of women and half a
crown each to men. During how many years could the charity be
administered? Of course, by "different ways" is meant a different number
of men and women every time.
7.--THE WIDOW'S LEGACY.
A gentleman who recently died left the sum of L8,000 to be divided among
his widow, five sons, and four daughters. He directed that every son
should receive three times as much as a daughter, and that every
daughter should have twice as much as their mother. What was the widow's
share?
8.--INDISCRIMINATE CHARITY.
A charitable gentleman, on his way home one night, was appealed to by
three needy persons in succession for assistance. To the first person he
gave one penny more than half the money he had in his pocket; to the
second person he gave twopence more than half the money he then had in
his pocket; and to the third person he handed over threepence more than
half of what he had left. On entering his house he had only one penny in
his pocket. Now, can you say exactly how much money that gentleman had
on him when he started for home?
9.--THE TWO AEROPLANES.
A man recently bought two aeroplanes, but afterwards found that they
would not answer the purpose for which he wanted them. So he sold them
for L600 each, making a loss of 20 per cent. on one machine and a profit
of 20 per cent. on the other. Did he make a profit on the whole
transaction, or a loss? And how much?
10.--BUYING PRESENTS.
"Whom do you think I met in town last week, Brother William?" said Uncle
Benjamin. "That old skinflint Jorkins. His family had been taking him
around buying Christmas presents. He said to me, 'Why cannot the
government abolish Christmas, and make the giving of presents punishable
by law? I came out this morning with a certain amount of money in my
pocket, and I find I have spent just half of it. In fact, if you will
believe me, I take home just as many shillings as I had pounds, and half
as many pounds as I had shillings. It is monstrous!'" Can you say
exactly how much money Jorkins had spent on those presents?
In every business of life we are occasionally perplexed by some chance
question that for the moment staggers us. I quite pitied a young lady in
a branch post-office when a gentleman entered and deposited a crown on
the counter with this request: "Please give me some twopenny stamps, six
times as many penny stamps, and make up the rest of the money in
twopence-halfpenny stamps." For a moment she seemed bewildered, then her
brain cleared, and with a smile she handed over stamps in exact
fulfilment of the order. How long would it have taken you to think it
out?
2.--YOUTHFUL PRECOCITY.
The precocity of some youths is surprising. One is disposed to say on
occasion, "That boy of yours is a genius, and he is certain to do great
things when he grows up;" but past experience has taught us that he
invariably becomes quite an ordinary citizen. It is so often the case,
on the contrary, that the dull boy becomes a great man. You never can
tell. Nature loves to present to us these queer paradoxes. It is well
known that those wonderful "lightning calculators," who now and again
surprise the world by their feats, lose all their mysterious powers
directly they are taught the elementary rules of arithmetic.
A boy who was demolishing a choice banana was approached by a young
friend, who, regarding him with envious eyes, asked, "How much did you
pay for that banana, Fred?" The prompt answer was quite remarkable in
its way: "The man what I bought it of receives just half as many
sixpences for sixteen dozen dozen bananas as he gives bananas for a
fiver."
Now, how long will it take the reader to say correctly just how much
Fred paid for his rare and refreshing fruit?
3.--AT A CATTLE MARKET.
Three countrymen met at a cattle market. "Look here," said Hodge to
Jakes, "I'll give you six of my pigs for one of your horses, and then
you'll have twice as many animals here as I've got." "If that's your
way of doing business," said Durrant to Hodge, "I'll give you fourteen
of my sheep for a horse, and then you'll have three times as many
animals as I." "Well, I'll go better than that," said Jakes to Durrant;
"I'll give you four cows for a horse, and then you'll have six times as
many animals as I've got here."
No doubt this was a very primitive way of bartering animals, but it is
an interesting little puzzle to discover just how many animals Jakes,
Hodge, and Durrant must have taken to the cattle market.
4.--THE BEANFEAST PUZZLE.
A number of men went out together on a bean-feast. There were four
parties invited--namely, 25 cobblers, 20 tailors, 18 hatters, and 12
glovers. They spent altogether L6, 13s. It was found that five cobblers
spent as much as four tailors; that twelve tailors spent as much as nine
hatters; and that six hatters spent as much as eight glovers. The puzzle
is to find out how much each of the four parties spent.
5.--A QUEER COINCIDENCE.
Seven men, whose names were Adams, Baker, Carter, Dobson, Edwards,
Francis, and Gudgeon, were recently engaged in play. The name of the
particular game is of no consequence. They had agreed that whenever a
player won a game he should double the money of each of the other
players--that is, he was to give the players just as much money as they
had already in their pockets. They played seven games, and, strange to
say, each won a game in turn, in the order in which their names are
given. But a more curious coincidence is this--that when they had
finished play each of the seven men had exactly the same amount--two
shillings and eightpence--in his pocket. The puzzle is to find out how
much money each man had with him before he sat down to play.
6.--A CHARITABLE BEQUEST.
A man left instructions to his executors to distribute once a year
exactly fifty-five shillings among the poor of his parish; but they were
only to continue the gift so long as they could make it in different
ways, always giving eighteenpence each to a number of women and half a
crown each to men. During how many years could the charity be
administered? Of course, by "different ways" is meant a different number
of men and women every time.
7.--THE WIDOW'S LEGACY.
A gentleman who recently died left the sum of L8,000 to be divided among
his widow, five sons, and four daughters. He directed that every son
should receive three times as much as a daughter, and that every
daughter should have twice as much as their mother. What was the widow's
share?
8.--INDISCRIMINATE CHARITY.
A charitable gentleman, on his way home one night, was appealed to by
three needy persons in succession for assistance. To the first person he
gave one penny more than half the money he had in his pocket; to the
second person he gave twopence more than half the money he then had in
his pocket; and to the third person he handed over threepence more than
half of what he had left. On entering his house he had only one penny in
his pocket. Now, can you say exactly how much money that gentleman had
on him when he started for home?
9.--THE TWO AEROPLANES.
A man recently bought two aeroplanes, but afterwards found that they
would not answer the purpose for which he wanted them. So he sold them
for L600 each, making a loss of 20 per cent. on one machine and a profit
of 20 per cent. on the other. Did he make a profit on the whole
transaction, or a loss? And how much?
10.--BUYING PRESENTS.
"Whom do you think I met in town last week, Brother William?" said Uncle
Benjamin. "That old skinflint Jorkins. His family had been taking him
around buying Christmas presents. He said to me, 'Why cannot the
government abolish Christmas, and make the giving of presents punishable
by law? I came out this morning with a certain amount of money in my
pocket, and I find I have spent just half of it. In fact, if you will
believe me, I take home just as many shillings as I had pounds, and half
as many pounds as I had shillings. It is monstrous!'" Can you say
exactly how much money Jorkins had spent on those presents?
Saturday, May 9, 2009
Physics: What you Should Know
Physics is one of those fields that you either love or hate, but no matter what your position, you can never escape it. It isn't because it is a required class that you have to take before you can graduate high school, it is because it is always around us and we are constantly affected by it. Even writing this article is a matter of physics. By me simply moving my fingers with a appropriate force down on the specific keys on my keyboard, the key is pressed down. Once I press the key there is much more that goes on, but even the simple movement of my fingers over the keys is a matter of physics.
Physics is a field of natural science. It deals with matter, charge, mass and the movement of each. It also encompasses the results of each of these movements which could be energy, force and speed. In a nutshell physics is an attempt to understand how the world behaves and why. It explains why cars work the way they do, why the earth moves around the sun and spins at the speeds it does, it explains why you can talk to someone thousands of miles away on the telephone and birds can fly. Almost every aspect of the world we live in can be explained by physics.
The study of this subject can be as complicated or as simple as you would like it to be. Science projects in first grade are often related to physics, but so are the life-long studies of many accomplished scientists. The scope of physics is truly universal, which is shown by the effects it has on the other subjects we study. You will find connections to physics in philosophy, mathematics, and other branches of sciences.
Generally the study of physics includes the scientific method. This method allows you test any ideas or questions that you may have. Essentially you will come up with a hypothesis, question or theory about a certain something. For example, your hypothesis might be that if you drop a ball from the roof, it will fall to the ground. After you've come up with your hypothesis, you do the experiment and you drop the ball. Your analysis comes as you watch the ball fall to the ground. You will have shown whether or not your hypothesis was correct. Of course this was a simple example and things get far more complex in physics, if you want them to, but you get the idea. Once you've determined that something happens, your next step will be to find more and more experiments that you can do to determine why something happens.
Finding out the 'why' of the world is truly what physics is all about. People always want to know why certain things are the way that they are and what we can do to change them. There are models and graphs and theories all over the world about why the world is the way it is, and almost every one of them has a hand in physics. Gravity, planetary rotation, bone structure, weather, everything is connected through physics.
About the Author
Find unique and innovative Science toys and Science Supplies for Physics and Physical Science. A wonderful resource for science teachers for teaching electrostatics, magnetism, electricity, force, motion, sound, light, color, waves, gas laws, alternative energy, pressure, fluid dynamics and elementary science. For details visit http://www.sci-supply.com
Physics is a field of natural science. It deals with matter, charge, mass and the movement of each. It also encompasses the results of each of these movements which could be energy, force and speed. In a nutshell physics is an attempt to understand how the world behaves and why. It explains why cars work the way they do, why the earth moves around the sun and spins at the speeds it does, it explains why you can talk to someone thousands of miles away on the telephone and birds can fly. Almost every aspect of the world we live in can be explained by physics.
The study of this subject can be as complicated or as simple as you would like it to be. Science projects in first grade are often related to physics, but so are the life-long studies of many accomplished scientists. The scope of physics is truly universal, which is shown by the effects it has on the other subjects we study. You will find connections to physics in philosophy, mathematics, and other branches of sciences.
Generally the study of physics includes the scientific method. This method allows you test any ideas or questions that you may have. Essentially you will come up with a hypothesis, question or theory about a certain something. For example, your hypothesis might be that if you drop a ball from the roof, it will fall to the ground. After you've come up with your hypothesis, you do the experiment and you drop the ball. Your analysis comes as you watch the ball fall to the ground. You will have shown whether or not your hypothesis was correct. Of course this was a simple example and things get far more complex in physics, if you want them to, but you get the idea. Once you've determined that something happens, your next step will be to find more and more experiments that you can do to determine why something happens.
Finding out the 'why' of the world is truly what physics is all about. People always want to know why certain things are the way that they are and what we can do to change them. There are models and graphs and theories all over the world about why the world is the way it is, and almost every one of them has a hand in physics. Gravity, planetary rotation, bone structure, weather, everything is connected through physics.
About the Author
Find unique and innovative Science toys and Science Supplies for Physics and Physical Science. A wonderful resource for science teachers for teaching electrostatics, magnetism, electricity, force, motion, sound, light, color, waves, gas laws, alternative energy, pressure, fluid dynamics and elementary science. For details visit http://www.sci-supply.com
Educational Toys Make Learning Fun and Easy
Educational Toys Make Learning Fun and Easy by Gen Wright
Children love hands-on education and the Toobeez educational toys for kids are just the tool to get them learning through play and physical activity.
These giant tinker toy like building kits support educational classroom goals through exciting and enticing activities and differentiated instruction that addresses multiple intelligences. You'll find dozens of learning activities created by teachers for teachers in the Toobeez activities books.
Kinesthetic Language Arts Activities In your language arts classroom, the Toobeez educational toys for children are a quick way to set the stage for dramatic learning. Act out literature for greater understanding. Role play scenes and then record the dialogue to build writing skills. Have students create a new invention with Toobeez and then produce an instruction pamphlet for their unique device, including clear instructions. With the Toobeez Language Arts Activities Book, you will find ten innovative activities to improve reading comprehension, grammar, and creative expression. There is no end to the cooperative learning possibilities.
Hands-On Mathematics Activities Bring another dimension to your math instruction with Toobeez construction toys for the mathematics classroom. Difficult, abstract concepts are easier to master when you build graphs, angles, and shapes using Toobeez learning toys.
As Kim Cooke of Walter Bickett Elementary School in Monroe, NC, explains, “One of my passions is gaining a better understanding on how the brain learns, and your activity books included up to date brain strategies. The books were very teacher-friendly and I was able to instantly incorporate the activities into my presentations and lessons. I have contacted 3 other principals and 18 other Teachers in my school system about your products.â€
Students will understand the relevance of mathematics as they build and test their Toobeez structures. Ten engaging and open ended activities from the Toobeez Mathematics Activities Book will have students eager to learn more about mathematics. Educational Toys for Toddlers and Preschooler Young children learn best through play. Give kids a good start by choosing the right educational learning toys for toddlers and preschoolers. Because these multipurpose toys can be used in a variety of educational and fun ways, Toobeez make the perfect day care toy or toy for teachers of young children.
Toobeez encourage young children to explore their world in an educational and rewarding way. Build a tunnel, teach basic shapes, and create puppet theaters for kids.
Learning Toys With these educational toys for kids, classroom activities transform into an opportunity for collaboration and genuine discovery.
Pete Smithson from Central Middle School, Orlando, FL, is impressed with the flexibility of these building toys: “The open ended nature of the product allows us to use your products within our entire school. We use them in our staff development days, core subjects, field day, and even our after school activities. What a great program.†As teachers and educators, you know the value of character education. Toobeez brings learners together to complete authentic tasks.
Toobeez encourage perseverance, trust, responsibility and cooperation through activities that complement linguistic, logical spatial or kinesthetic learning styles. The workbooks also include discussion questions and activity variations to differentiate for learning styles and strengths!
Your students will build amazing things with Toobeezâ€"including their self-esteem.
About the Author
Candace Lindemann holds a Masters Degree in Education from Harvard. As former teacher and full time mom, she enjoys sharing new experiences with her baby and creating informational articles about educational toys.
Children love hands-on education and the Toobeez educational toys for kids are just the tool to get them learning through play and physical activity.
These giant tinker toy like building kits support educational classroom goals through exciting and enticing activities and differentiated instruction that addresses multiple intelligences. You'll find dozens of learning activities created by teachers for teachers in the Toobeez activities books.
Kinesthetic Language Arts Activities In your language arts classroom, the Toobeez educational toys for children are a quick way to set the stage for dramatic learning. Act out literature for greater understanding. Role play scenes and then record the dialogue to build writing skills. Have students create a new invention with Toobeez and then produce an instruction pamphlet for their unique device, including clear instructions. With the Toobeez Language Arts Activities Book, you will find ten innovative activities to improve reading comprehension, grammar, and creative expression. There is no end to the cooperative learning possibilities.
Hands-On Mathematics Activities Bring another dimension to your math instruction with Toobeez construction toys for the mathematics classroom. Difficult, abstract concepts are easier to master when you build graphs, angles, and shapes using Toobeez learning toys.
As Kim Cooke of Walter Bickett Elementary School in Monroe, NC, explains, “One of my passions is gaining a better understanding on how the brain learns, and your activity books included up to date brain strategies. The books were very teacher-friendly and I was able to instantly incorporate the activities into my presentations and lessons. I have contacted 3 other principals and 18 other Teachers in my school system about your products.â€
Students will understand the relevance of mathematics as they build and test their Toobeez structures. Ten engaging and open ended activities from the Toobeez Mathematics Activities Book will have students eager to learn more about mathematics. Educational Toys for Toddlers and Preschooler Young children learn best through play. Give kids a good start by choosing the right educational learning toys for toddlers and preschoolers. Because these multipurpose toys can be used in a variety of educational and fun ways, Toobeez make the perfect day care toy or toy for teachers of young children.
Toobeez encourage young children to explore their world in an educational and rewarding way. Build a tunnel, teach basic shapes, and create puppet theaters for kids.
Learning Toys With these educational toys for kids, classroom activities transform into an opportunity for collaboration and genuine discovery.
Pete Smithson from Central Middle School, Orlando, FL, is impressed with the flexibility of these building toys: “The open ended nature of the product allows us to use your products within our entire school. We use them in our staff development days, core subjects, field day, and even our after school activities. What a great program.†As teachers and educators, you know the value of character education. Toobeez brings learners together to complete authentic tasks.
Toobeez encourage perseverance, trust, responsibility and cooperation through activities that complement linguistic, logical spatial or kinesthetic learning styles. The workbooks also include discussion questions and activity variations to differentiate for learning styles and strengths!
Your students will build amazing things with Toobeezâ€"including their self-esteem.
About the Author
Candace Lindemann holds a Masters Degree in Education from Harvard. As former teacher and full time mom, she enjoys sharing new experiences with her baby and creating informational articles about educational toys.
The Basics of Electrostatics
The branch of science known as electrostatics is a complicated one. This isn't because it is extremely difficult for us to understand, but it can very complicated for us to explain. Of course it is possible to gain a good understanding of electrostatics through a proper study of the scientific principles behind it.
We encounter electrostatics on a day-to-day basis. For example, electrostatics is at work when you remove plastic wrap from a piece of food, and the plastic sticks to you. Electrostatics is also at play when you shock yourself on a door knob after walking across a room filled with carpet. Yet another example of electrostatics is when you rub a balloon over your hair. By holding the balloon close to your head afterward, your hair will stick up. All of these examples are a direct result of electrostatics, and there are many more.
The science involved in electrostatics, as stated before, can be quite complicated. That said, there are more basic explanations for electrostatic behaviors and principles. Electrostatics can be studied at many different ages and learning levels, and can be taught using very simple and basic concepts. Much of science and mathematics function this same way. There are always deeper and more elaborate explanations for things, but often times simple surface explanations and observations are the most effective. These surface explanations are what we discuss here.
Electrostatics is brought about when there is an exchange of charge on two or more different objects. In fact, these exchanges happen every time two objects touch one another. Many times you will only notice the exchange when one of the objects has a high resistance to electrical flow. This is due to the fact that when an object has a high resistance to electrical flow, the charge is going to be trapped in the object for a longer time. As the charge builds and builds, it will eventually have to get rid of the charge it is carrying. This either happens through a slow 'bleeding' of the charge into the ground, or through a large discharge, such as the electric shocks you experience when touching metal objects. This is essentially a large amount of energy leaping from one surface to another.
Some examples of science products used to demonstrate this phenomenon in a controlled environment are the Van De Graaff generator and Wimshurst Machine. The Van De Graaff generator produces the electric charge imbalance that was described in the previous paragraph. When this imbalance takes place, it becomes very easy to observe the electrostatic charge building up and transfer between surfaces. This can also be demonstrated by touching the storage sphere of a Van De Graaff generator. If you are standing on an insulated surface when you do this, your hair will stand on end. This effectively demonstrates electrostatic power and transfer. Science products like the Van De Graaff generator and Wimshurst Machine will come with very simple directions and include explanations for the different phenomena associated with each.
In conclusion, while the study of electrostatics can be quite complex, the fundamentals really are quite simple and easily explained. There are a variety of scientific products and supplies that will help students to attain a higher level of understanding about these electrostatic fundamentals.
About the Author
Find unique and innovative Science toys and Science Supplies for Physics and Physical Science. A wonderful resource for science teachers for teaching electrostatics, magnetism, electricity, force, motion, sound, light, color, waves, gas laws, alternative energy, pressure, fluid dynamics and elementary science. For details visit http://www.sci-supply.com
We encounter electrostatics on a day-to-day basis. For example, electrostatics is at work when you remove plastic wrap from a piece of food, and the plastic sticks to you. Electrostatics is also at play when you shock yourself on a door knob after walking across a room filled with carpet. Yet another example of electrostatics is when you rub a balloon over your hair. By holding the balloon close to your head afterward, your hair will stick up. All of these examples are a direct result of electrostatics, and there are many more.
The science involved in electrostatics, as stated before, can be quite complicated. That said, there are more basic explanations for electrostatic behaviors and principles. Electrostatics can be studied at many different ages and learning levels, and can be taught using very simple and basic concepts. Much of science and mathematics function this same way. There are always deeper and more elaborate explanations for things, but often times simple surface explanations and observations are the most effective. These surface explanations are what we discuss here.
Electrostatics is brought about when there is an exchange of charge on two or more different objects. In fact, these exchanges happen every time two objects touch one another. Many times you will only notice the exchange when one of the objects has a high resistance to electrical flow. This is due to the fact that when an object has a high resistance to electrical flow, the charge is going to be trapped in the object for a longer time. As the charge builds and builds, it will eventually have to get rid of the charge it is carrying. This either happens through a slow 'bleeding' of the charge into the ground, or through a large discharge, such as the electric shocks you experience when touching metal objects. This is essentially a large amount of energy leaping from one surface to another.
Some examples of science products used to demonstrate this phenomenon in a controlled environment are the Van De Graaff generator and Wimshurst Machine. The Van De Graaff generator produces the electric charge imbalance that was described in the previous paragraph. When this imbalance takes place, it becomes very easy to observe the electrostatic charge building up and transfer between surfaces. This can also be demonstrated by touching the storage sphere of a Van De Graaff generator. If you are standing on an insulated surface when you do this, your hair will stand on end. This effectively demonstrates electrostatic power and transfer. Science products like the Van De Graaff generator and Wimshurst Machine will come with very simple directions and include explanations for the different phenomena associated with each.
In conclusion, while the study of electrostatics can be quite complex, the fundamentals really are quite simple and easily explained. There are a variety of scientific products and supplies that will help students to attain a higher level of understanding about these electrostatic fundamentals.
About the Author
Find unique and innovative Science toys and Science Supplies for Physics and Physical Science. A wonderful resource for science teachers for teaching electrostatics, magnetism, electricity, force, motion, sound, light, color, waves, gas laws, alternative energy, pressure, fluid dynamics and elementary science. For details visit http://www.sci-supply.com
Wednesday, February 18, 2009
Take a Step Today
The journey of a thousand miles begins with a step. Your math success begins with you taking a great step towards achieving your goal.You don’t need to wait till when the examination has drawn nearer before you begin to prepare. The preparation for your examination must start with a great step today and you will surely have a wonderful examination.Are you struggling with math, your math struggle will end when you take a step to begin to do very well in the subject.You can take this GREAT STEP by doing the following: 1. Have a change of attitude towards the subject. Settle it in your mind that you want to do very well in the subject.2. Disallow distractions during math classes.3. Begin to love your math teacher and the math classes.4. Begin to solve math questions everyday.5. Begin to do your assignment and submit as at when due.6. Form or join a math study group.7. Be willing to discuss your math problems with your math teacher.
You can obtain more articles on mathematics at www.articlesoneducation.blogsopt.com
You can obtain more articles on mathematics at www.articlesoneducation.blogsopt.com
Setting the Right Goal in Mathematics
In a football match, every player has a goal and it is to help his or her team to win a match. So, on the pitch they run towards the opponent’s goal area to put the ball into the net. The more times you put a ball into the opponent’s goal area against the number of times it was put into your own net determines the winner of the match.As a math student, you are expected to set the right goal at the beginning of every term. Ensure you don’t begin a term without determining what your result should look like in math at the end of the term.Listed below are some of the things you must decide on or before every term:1. Do you want an above average or a below average result in math or do you just want to maintain your result at the end of the term.2. How often do you want math to appear on your personal study time - table. This time - table must be prepared before you begin the term.3. Will you strive to solve at least 3 math questions everyday throughout the term?4. Will you keep company only with friends that can help you in math?5. Will you seek help regularly from your math teacher during the term?6. Will you start preparation early for your math examination?7. Will you keep a positive attitude towards the subject throughout the term?You can set the right goal by providing good answers to these questions and many more and success will surely be yours.
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