2. Cao Chong's method of weighing elephants is divided into several steps.
3. What are the advantages of Cao Chong's method of weighing elephants?
4. What else did Cao Can Chong do to weigh the elephant?
Is there a better way to make an elephant than Cao Chong?
Ancient people: find something like a balance or a seesaw. Put an elephant at one end of the balance and a stone at the other end. When the two sides are balanced, weigh the stone and you can get the weight of the elephant.
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1, principle
"Cao Chong is an elephant" [2] is a story that almost all women and children in China know.
Cao Chong, who is only six years old, solved a big problem that even many learned adults were at a loss by using the physical principle that the gravity of an object floating on the water is equal to the buoyancy of water on the object. This is a miracle.
However, at that time (AD 200), although Archimedes principle had been discovered for 500 years, it was not until 1627 that this principle was introduced to China. It is impossible for George W. Cao Chong to know this truth, let alone the conditions of ups and downs.
In fact, the clever Cao Chong used the method of "equal replacement".
Replace the elephant with many stones, mark the boat, make the elephant and the stone have the same effect, weigh the stones repeatedly, turn "big" into "small", divide and conquer, and this problem will be solved satisfactorily.
Equivalent substitution method is a common scientific thinking method.
Here is a short story about Edison.
The great American inventor Edison had an assistant named Aptom, who had a good foundation in mathematics.
Once, Edison gave Aptom the glass shell of a light bulb and asked him to calculate the volume of the light bulb.
Aptom looked at the pear-shaped bulb shell, thought for a long time, drew the sectional view and perspective view of the bulb shell, drew a series of complicated curves, measured the data one by one, and listed a series of formulas.
After several hours of intense calculation, the result hasn't come out yet.
Edison was very dissatisfied after reading it.
I saw Edison fill the bulb shell with water and then pour the water into the measuring cup. In less than a minute, he calculated the volume of the light bulb.
Here, Edison replaced the volume of the bulb shell with the volume of water poured into the measuring cup, and also used the equivalent replacement method.
Cao Chong's method of calling an elephant is divided into several steps.
Cao Chongxiang method is divided into four steps:
Step 1: Drive the elephant to a big ship and draw a line where the hull sinks.
Step 2: Drive the elephant ashore, and load the stone on the boat until the boat sinks to the place where the line is drawn.
Step 3: Weigh the stones on the boat.
Step 4: Add up the weight of the stone, which is the weight of the elephant.
The text Cao Chongxiang tells an old story.
Someone sent an elephant to Cao Cao. Cao Cao asked people to find a way to weigh elephants. Finally, Cao Chong, the seven-year-old son of Cao Cao, came up with a clever plan to weigh an elephant.
This article aims at praising Cao Chong's extraordinary wisdom when he was young.
The moral of this story: age is not the size, the key is to be good at observation and thinking, and children can do great things.
What are the advantages of Cao Chong's iconography?
The principle of buoyancy in physics is the same;
Archimedes called it the crown in the same way.
"I found it!" -Discovery of buoyancy principle
There is a legend about the principle of buoyancy.
According to legend, King Guhennon of Silas asked craftsmen to make him a pure gold crown. When it was finished, the king suspected that the craftsman had mixed a fake gold crown, but the gold crown was as heavy as the pure gold originally given to the goldsmith. Did the craftsman play tricks? Archimedes found that buoyancy could not destroy the crown, which not only stumped the king, but also made the ministers look at each other.
Later, the king asked Archimedes to test it.
At first Archimedes was also thinking hard, to the point.
One day, he went to the bathhouse to take a bath. Sitting in the bathhouse, he saw the water overflowing and felt his body being gently pulled up.
He suddenly realized that the proportion of gold crowns can be determined by measuring the displacement of solids in water.
He jumped out of the bathtub excitedly and ran out without even considering his clothes, shouting "found it!" Eureka! " .
Eureka, which means "I see".
After further experiments, he came to the palace. He put the crown and pure gold with the same weight in two jars filled with water, and compared the water overflowing from the two jars, and found that the jar with the crown overflowed more water than the other jar.
This shows that the volume of the crown is larger than that of pure gold with the same weight, so it proves that other metals are mixed in the crown.
The significance of this experiment is far greater than finding out that the goldsmith cheated the king. Archimedes discovered the law of buoyancy: the buoyancy gained by an object in a liquid is equal to the weight of the liquid it discharges.
Until modern times, people are still using this principle to calculate the specific gravity of objects and determine the load capacity of ships.
What else can Cao Can Zhuang do?
The roads used are: crane, steel cable and big basket. Principle of use: When the weight of both sides of the pulley is equal, the two sides keep balance. Methods: Tie the elephant with a steel cable, use the pulley of the crane, put a big basket on the other part of the steel cable, and put a heavy object in the basket. When the weights are equal, they will be balanced.