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
To find the volume of the object, we can use Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Step 1: Calculate the buoyant force in ethanol alcohol.
- We know that the apparent weight of the object submerged in ethanol alcohol is 15.2 N.
- The buoyant force in ethanol alcohol is equal to the weight of the displaced ethanol alcohol.
- However, since the object is solid throughout, its weight in air would be the same as its weight in ethanol alcohol.
- So, the buoyant force in ethanol alcohol would be equal to the weight of the ethanol alcohol displaced by the object.
Step 2: Calculate the buoyant force in water.
- We know that the apparent weight of the object submerged in water is 13.7 N.
- The buoyant force in water is equal to the weight of the displaced water.
- Similarly, since the object is solid throughout, its weight in air would be the same as its weight in water.
- So, the buoyant force in water would be equal to the weight of the water displaced by the object.
Step 3: Compare the buoyant forces in ethanol alcohol and water.
- Since the weight of the object is greater in ethanol alcohol than in water, the buoyant force in ethanol alcohol must be less than the buoyant force in water.
- This means that the object displaces more ethanol alcohol volume-wise compared to water.
Step 4: Calculate the volume of the object.
- The difference in buoyant forces between ethanol alcohol and water will give us the weight of the additional ethanol alcohol displaced.
- By dividing this additional ethanol alcohol weight by the density of ethanol alcohol, we can find the volume of ethanol alcohol displaced by the object.
- Since the object is solid throughout, this volume will also be the volume of the object itself.
Overall, to find the volume of the object, we need to compare the buoyant forces in ethanol alcohol and water.