When a ship floats on watera)The mass of water displaced is equal to ...
According to Archimedes principle, when a body is immersed fully or partially in a liquid, it experiences an upward force that is equal to the weight of the fluid displaced by it; therefore,,, the mass of water displaced is equal to the mass of the ship.
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When a ship floats on watera)The mass of water displaced is equal to ...
Explanation:
When a ship floats on water, it displaces a certain amount of water due to its weight. This displacement of water is directly related to the mass of the ship. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Archimedes' Principle:
- Archimedes' principle states that when an object is partially or completely submerged in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid it displaces.
- This principle is based on the fact that the pressure exerted by a fluid increases with depth.
- The buoyant force opposes the weight of the object, allowing it to float or have apparent weight loss while submerged in the fluid.
Mass of Water Displaced:
- When a ship floats on water, it displaces a certain volume of water equal to its own volume.
- The mass of water displaced is equal to the mass of the ship because the density of water is constant.
- Mass = Density x Volume
- The density of water remains constant, so the mass of the water displaced is directly proportional to the volume of water displaced.
- The volume of water displaced is equal to the volume of the ship itself.
- Therefore, the mass of water displaced is equal to the mass of the ship.
Conclusion:
- Based on Archimedes' principle, the mass of water displaced by a floating ship is equal to the mass of the ship.
- Therefore, the correct answer is option 'A': The mass of water displaced is equal to the mass of the ship.
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