If Archimedes had only been able to find a piece of pure gold with a mass one half that of the crown how could he have determined whether the crown was pure gold?

If Archimedes had only been able to find a piece of pure gold with a mass one-half that of the crown how could he have determined whether the crown was pure gold?

Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.

If Archimedes had only been able to find a piece of pure gold with a mass one - half that of the crown how could he have determined whether the crown was pure gold?

Archimedes came across concept of density - that is MASS divided by VOLUME. For each substance this ratio is different but a CONSTANT for that substance. Thus the mass you are dealing with is irrelevant if the crown had the same ratio as the piece of pure gold then the crown was pure god, if it did not then the crown was not gold.

Was Archimedes crown pure gold?

Yes Archimedes crown was pure gold. how they know this is that they weighed the dentisity of the crown.

How does the acrchimedes crown story relate to matter?

The Archimedes story relates that Archimedes had been trying to determine if the King's crown was pure gold, without having to melt it down (destroying it) to see. Archimedes sat down in the tub and noted that the water rose in the tub, and that he realized that the volume of water displaced was equal to the volume of Archimedes himself. This gave him an insight into how to determine the volume of the crown; by submerging the crown in water and measuring how far the water rose, this would give him the volume of the crown. He could then weigh the crown and calculate the density of the crown, and determine that the crown was not pure gold.

Is the Archimedes crown story true?

The story of the Archimedes crown is likely a legend as there is no concrete historical evidence to support its veracity. It is often recounted as a popular anecdote to highlight Archimedes' intelligence and ingenuity.

Why did Archimedes invent the golden crown?

Archimedes thought that if the gold crown and the gold bar had the same mass and volume, the crown was pure gold and if they didn't, the crown was a fake and the jeweller was a fraud. (I just had to do this for homework. I'm right!)

Why did Archimedes decide that the goldsmith that made the kings crown should be excecuted?

During Archimedes' time in Syracuse, King Hieron, the king of Syracuse and a close friend of Archimedes, commissioned the construction of a beautiful golden crown. When the goldsmith returned the crown, the king suspected him of stealing some of the gold and replacing it in the crown with silver. The king wanted to make sure that he got all of his gold back, so he asked Archimedes to discover the true contents of the crown. If Archimedes could determine the crown's true contents, he could tell the king whether or not the goldsmith gave him all of his gold back. Archimedes pondered this problem for some time, and one fateful morning in the baths of Syracuse he found the answer. Archimedes was stepping into the tub when he noticed that this action caused some of the water in the tub to overflow. He suddenly realized that the volume of the water that was being displaced equaled the volume of his body in the tub. He then ran through the streets of Syracuse naked yelling "Eureka," which means "I found it." He believed that he could measure the volumes of all irregular solids by placing them in water and noting the amount of water displaced. He solved the king's problem by placing equal masses of gold and silver in water. The silver had a greater volume because it displaced more water. That meant that the silver was less dense than the gold because it had the same weight but a larger volume. Archimedes then compared the lump of gold to the crown. The two had the same mass, but when Archimedes measured their volumes, the crown had a larger volume. Therefore, the crown was less dense and not made of pure gold. The king thus knew that the goldsmith had replaced some of the gold in the crown with silver, and he had the goldsmith executed.

Who is Archimedes cousin?

Surprisingly it was King Hiero! That is why the king had called Archimedes first about his problem with his crown.

How did Archimedes solve the gold crown problem?

hi

What is a hydrostatic balance that Galileo invented?

The hydrostatic balance was an accurate balance that could weigh objects both in water and in the air. Galileo got the idea from the "Eureka" story about Archimedes and the King of Syracuse's crown in which Archimedes had to prove if the king's crown was made of real gold or not. Galileo used some of Archimedes ideas and built his own invention which he called the hydrostatic balance.

If Archimedes had only been able to find a piece of pure gold with a mass one half that of the crown how could he have determined whether the crown was pure gold?

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