When the buoyant force on a submerged object is equal to the weight of the object, how do the densities of the object and water compare?
To compare: The density of water and the object.
Answer to Problem 13A
The density of water and object would be same if the buoyant force acting on the object is equal to weight of water displaced.
Explanation of Solution
Given:
The buoyant force = weight of the object.
Formula used:
The weight of the object is,
Here,
The weight of the water is,
Here,
Calculation:
Here, the volume of the object is equal to volume of the displaced water.
The weight of the object is equal to the weight of the water.
Substitute
Conclusion:
Thus, density of water and object would be same if the buoyant force acting on the object is equal to weight of water displaced.
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