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15. When the levels are the same the height of the liquid is
h
=(
h
1
+
h
2
)
/
2, where
h
1
and
h
2
are the original
heights. Suppose
h
1
is greater than
h
2
. The Fnal situation can then be achieved by taking liquid with
volume
A
(
h
1
−
h
)andmass
ρA
(
h
1
−
h
), in the Frst vessel, and lowering it a distance
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Unformatted text preview: h − h 2 . The work done by the force of gravity is W = ρA ( h 1 − h ) g ( h − h 2 ). We substitute h = ( h 1 + h 2 ) / 2 to obtain W = 1 4 ρgA ( h 1 − h 2 ) 2 ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Mass

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