Two bodies A and B have the same volume and massesmB = 3mA. Both bodies are completely immersed in a liquid,and are initially held still. When they are let go, the buoyantforce exerted by the liquid on B is:A. equal to the buoyant force exerted on AB. 9 times the force exerted on AC. 3 times the force exerted on AD. one ninth of the force exerted on AE. one third of the force exerted on A
Question
Two bodies A and B have the same volume and massesmB = 3mA. Both bodies are completely immersed in a liquid,and are initially held still. When they are let go, the buoyantforce exerted by the liquid on B is:A. equal to the buoyant force exerted on AB. 9 times the force exerted on AC. 3 times the force exerted on AD. one ninth of the force exerted on AE. one third of the force exerted on A
Solution
The buoyant force exerted by a fluid on a submerged object is equal to the weight of the fluid displaced by the object. This principle is known as Archimedes' principle.
Given that both bodies A and B have the same volume, they will displace the same amount of liquid when completely immersed. Therefore, the buoyant force exerted by the liquid on both bodies will be the same, regardless of their masses.
So, the correct answer is A. The buoyant force exerted by the liquid on B is equal to the buoyant force exerted on A.
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