Volume and Density of Unknown Material: Homework Statement

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Homework Help Overview

The problem involves determining the volume and density of an unknown material based on its weight in air and when immersed in alcohol. The context includes concepts of buoyancy and specific gravity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to relate the weight difference in air and alcohol to the volume and density of the material using specific gravity and buoyancy principles. Some participants discuss the buoyant force and its relation to the volume of the displaced fluid.

Discussion Status

Participants are exploring different approaches to calculate the volume and density, with some suggesting methods to derive these values from the given weights and fluid properties. There is an ongoing examination of the relationships between the forces and the variables involved.

Contextual Notes

There is a mention of specific gravity and the need to consider the density of the fluid, but the original poster expresses uncertainty about the calculations and relationships needed to solve the problem.

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Homework Statement



A samoke of unknown material weighs 300N in air and 200N when immersed in alcohol of specific gravity 0.7. Find the volume and density of the material

Homework Equations



Specific Gravity = density of material/density of water

Density fluid x volume of fluid x gravity = density material x volume of material x gravity

The Attempt at a Solution



Volume of substance = Density of Fluid x Volume of fluid / Density of material

The density of the substance can be using the specific gravity equation.

I am not sure how to solve for the volume and density though
 
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In the alcohol it is pushed up by a force equal to the weight of alcohol displaced.
Since you know the force difference, you can work out the volume of alcohol and so the volume of the thing.
 
So is it

Fb= V x density x gravity
V = 100N/(700kg/m3 x 9.8)
 
The units balance - you can check the arithmetic by putting the answer back into the question and checking you get the same buoyant force
 

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