What Is the Volume of the Secret Cavity in the Brass Sculpture?

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Homework Help Overview

The discussion revolves around determining the volume of a secret cavity within a brass sculpture, utilizing the sculpture's weight in air and submerged in water, along with its density.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the concept of buoyant force and displacement, with one noting the difference in weight when submerged. Questions arise regarding the contents of the cavity and how that affects the calculations.

Discussion Status

Participants are exploring various aspects of the problem, including the implications of the buoyant force and the assumptions regarding the cavity's contents. There is no explicit consensus yet, but some guidance on relevant principles has been mentioned.

Contextual Notes

There is uncertainty about the contents of the cavity, which may affect the calculations. Participants are also navigating the implications of Archimedes' principle in this context.

skonstanty
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:confused: A small sculpture made of brass (density = 8470 kg/m cubed) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity?
 
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What exactly have you tried so far?
 
I have just now started
 
What property of the sculpture can you determine directly from the given data ?
 
I am assuming I have to find the amount of displacement -- 15.76 - 13.86 = 1.9
 
Oh, the density is = 8470
 
Recall Archimedis ?
 
Fb= bouyant force = F2 - F1 = mg
 
What's in the secret cavity? Air, hydrogen, nothing, or maybe the other extreme, something just a bit lighter than water, like gasoline? This has to be known in order to answer the question.
 
  • #10
If it went from being filled with air directly to being submerged in water, I'd imagine what's in the cavity is air.

Not to mention that it'd be a ridiculous question if one couldn't assume such.

--Justin
 

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