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AP® Physics 1 & 2

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Moderate

Buoyancy to Float

APPH12-W15VLG

An object of density ${ \rho }_{ o }$ is floating at rest at the surface of a fluid of density ${ \rho }_{ f }$. The object has volume ${ V }_{ o }$, and when it is floating it displaces a volume of fluid ${ V }_{ f }$.

Which one of the following is a correct expression for the buoyant force acting on the object while floating?

A

${ { \rho }_{ o }V }_{ f }g$

B

${ { \rho }_{ o }V }_{ o }g$

C

${ { \rho }_{ f }V }_{ o }g$

D

Somewhere between ${ { \rho }_{ o }V }_{ f }g$ and ${ { \rho }_{ o }V }_{ o }g$