What is the ratio between the depths they will sink into the ice?

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In summary, the conversation discusses the ratio between the depths two copper vessels will sink into ice after being heated to 85 degrees Celsius and placed on similar ice blocks. Further information regarding the size and cooling time of the vessels is needed to accurately determine the ratio. The question "why?" is then posed, with the suggestion to use conservation of energy as a guide to find the answer.
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q.if two copper vessels of mass 20g and 50g are heated to 85 degrees celcius and are put onto similar ice blocks, what is the ratio between the depths they will sink into the ice?
 
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Some more information would be rather helpful here. For instance, I would think the area where ice and copper touch are probably different: different weight+same material -> different size.
 
  • #3
Assuming that the bases of the copper vessels were the same size, consider: which of these vessels would take longer to cool to 0 degrees (the assumed temperature of the ice)?

THen answer the following question: "why"? (Using conservation of energy as your guide).
 

FAQ: What is the ratio between the depths they will sink into the ice?

What does "ratio between depths" mean?

The ratio between depths refers to the relationship between the depth of two objects, in this case, the depth that two objects will sink into ice.

How is the ratio between depths calculated?

The ratio between depths is calculated by dividing the depth of one object by the depth of the other object. For example, if one object sinks 10 feet into the ice and the other sinks 5 feet, the ratio between depths would be 2:1.

What factors affect the ratio between depths when sinking into ice?

The main factors that affect the ratio between depths when sinking into ice are the weight and surface area of the objects. Objects with a larger surface area and/or greater weight will sink deeper into the ice compared to objects with a smaller surface area and/or lighter weight.

Can the ratio between depths vary for different types of ice?

Yes, the ratio between depths can vary for different types of ice, such as fresh water ice, salt water ice, and glacier ice. Each type of ice has different properties that can affect how deep an object will sink into it.

How is the ratio between depths useful in scientific research?

The ratio between depths can be useful in scientific research to understand the properties of different types of ice and how objects interact with them. It can also help with predicting and preventing potential hazards, such as sinkholes or ice collapses.

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