What is the buoyancy force equal to for (a) an object in water and (b) an object in air?
The buoyant force is equal to the weight of the fluid displaced by the object when immersed in the fluid.
Supposed the object is in the air then the buoyant force will be
B = weight of air displaced
B = mg
B = density of air X volume of air displaced X g
as the volume of air displaced is equal to the volume of the object
B = density of air X volume of object X g
similarly when the object is completely immersed in water then the buoyant force will be
B = weight of water displaced
B = mg
B = density of water X volume of water displaced X g
as the volume of water displaced is equal to the volume of the object when completely immersed
B = density of air X volume of object X g
since the density of water is more than air the buoyant force is more in water.
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