Volume and Density of Unknown Material: Homework Statement

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The problem involves determining the volume and density of an unknown material that weighs 300N in air and 200N in alcohol with a specific gravity of 0.7. The buoyant force acting on the material in alcohol can be calculated using the difference in weight, which is 100N. By applying the formula for buoyancy, the volume of the material can be derived from the buoyant force divided by the product of the density of alcohol and gravity. The density of the material can then be calculated using the specific gravity equation, relating it to the density of water. The solution requires careful arithmetic to ensure the units balance and confirm the results.
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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 bouyant force
 

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