An object is solid throughout. When the object is completely submerged in ethanol alcohol., its apparent weight is 15.2 N. When completely submerged in water, its weight is 13.7 N. What is its volume? Steps please.. answer isnt really necessary
from apparent weight, and density of the liquids...
apparent weight= W-bouyancy
1) apparent weight in alcohol
= 15.2=W-densityalcohol*volume*g
2) apparent weight in water
= 13.7=W-densitywater*volume*g
Two equations, two unknowns (W and volume), so it can be solved.
w=15.2+denstiyalcohol*volume*g
w=13.7+densitywater*volume*g
set the w equal
15.2+densityalcohol*volume*g=13.7+densitywater*volume*g
look up the two densities, solve for volume.
The answer above appears to be correct, since it gets me the right answer.
To find the volume of the object, you can use Archimedes' principle. According to Archimedes' principle, the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
Here are the steps to calculate the volume of the object:
1. Determine the buoyant force in ethanol alcohol:
- Subtract the apparent weight of the object when submerged in ethanol alcohol (15.2 N) from its actual weight in air. This will give you the weight of the liquid displaced by the object in ethanol alcohol.
2. Determine the buoyant force in water:
- Subtract the apparent weight of the object when submerged in water (13.7 N) from its actual weight in air. This will give you the weight of the liquid displaced by the object in water.
3. Calculate the density of ethanol alcohol:
- The density of ethanol alcohol can be found in reference tables or online resources. The density of water is approximately 1000 kg/m³.
4. Use the densities of ethanol alcohol and water to find the ratio of the buoyant forces:
- Divide the buoyant force in ethanol alcohol by the buoyant force in water. This will give you the ratio of the densities of the two liquids.
5. Calculate the volume of the object:
- Divide the difference in weights between air and water by the density ratio obtained in the previous step. This will give you the volume of the object.
Remember, the densities used in the calculations must be in consistent units (e.g., kg/m³ or g/cm³). Make sure to convert values if necessary.
Please note that specific values and formulas were not provided in the question, so the calculations could not be carried out to provide a definitive answer.