A certain object floats in fluids of density Which of the following statements is true?
A) the buoyant force of fluid 1 is greater than the buoyant forces of the other two fluids
B) the buoyant force of fluid 3 is greater than the buoyant forces of the other two fluids
C) the three fluids exert the same buoyant force
D) the object displace the same volume of all three fluids
E) none of these are true

Question

A certain object floats in fluids of density  Which of the following statements is true?
A) the buoyant force of fluid 1 is greater than the buoyant forces of the other two fluids 
B) the buoyant force of fluid 3 is greater than the buoyant forces of the other two fluids 
C) the three fluids exert the same buoyant force 
D) the object displace the same volume of all three fluids 
E) none of these are true

Quizplus · Accepted Answer

According to Archimedes' principle, the buoyant force on an object is equal to the weight of the fluid it displaces. Therefore, the buoyant force experienced by the object depends only on the density of the fluid it is immersed in, and the volume of the fluid displaced by the object. Since the object is floating in all three fluids, it must displace the same volume in each of the fluids. Therefore, the buoyant forces of all three fluids are equal. Hence, the correct choice is C) the three fluids exert the same buoyant force.

A Certain Object Floats in Fluids of Density Which