PHY 205 Study Guide - Final Guide: Neutral Buoyancy, Buoyancy, Density

A homogeneous cube of edge-length L and mass m is suspended by a thin nylon cord in an open tank that a hydrostatic liquid of density, as depicted in the diagram. Standard gravity acts vertically downward. Standard atmospheric pressure is present.

,, ,  

 

Determine:

a) the magnitude of the downward fluid force exerted on the top of the cube ( )

 

b) the magnitude of the upward fluid force exerted on the bottom of the cube ( )

 

c) the magnitude of the tensile force within the nylon cord ( )

 

d) the magnitude of the buoyant force acting upon the entire cube ( )

 

e) the two distinct relationships between and the other quantities (, , , and mg)