Questions: Multiple Choice Question Four objects with identical volumes but made of different materials are immersed in water, as shown. Object A is sinking, object B is stationary while fully submerged, object C is rising to the surface, and object D is floating. Select the correct ranking of the magnitudes of the buoyant forces acting on the objects. FA=FB=FC>FD FD>FC>FB>FA FD>FC>FA>FB FA=FB=FC=FD FA=FD=0 and FC>FB

Multiple Choice Question Four objects with identical volumes but made of different materials are immersed in water, as shown. Object A is sinking, object B is stationary while fully submerged, object C is rising to the surface, and object D is floating. Select the correct ranking of the magnitudes of the buoyant forces acting on the objects. FA=FB=FC>FD FD>FC>FB>FA FD>FC>FA>FB FA=FB=FC=FD FA=FD=0 and FC>FB
Transcript text: Multiple Choice Question Four objects with identical volumes but made of different materials are immersed in water, as shown. Object $A$ is sinking, object $B$ is stationary while fully submerged, object $C$ is rising to the surface, and object $D$ is floating. Select the correct ranking of the magnitudes of the buoyant forces acting on the objects. $F_{A}=F_{B}=F_{C}>F_{D}$ $F_{D}>F_{C}>F_{B}>F_{A}$ $F_{D}>F_{C}>F_{A}>F_{B}$ $F_{A}=F_{B}=F_{C}=F_{D}$ $F_{A}=F_{D}=0$ and $F_{C}>F_{B}$
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Solution

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Solution Steps

Step 1: Buoyant Force and Volume

The buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Since all four objects have identical volumes, they displace the same volume of water.

Step 2: Buoyant Force and Density of Fluid

The weight of the displaced fluid depends on the density of the fluid and the volume displaced. Since the fluid is the same (water) and the displaced volumes are the same, the buoyant force on each object is the same.

Final Answer

$F_{A}=F_{B}=F_{C}=F_{D}$

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