A cube is submerged in a fluid as shown where the
top is at a depth of y
A
=1m and the bottom is at a
depth of y
B
=1.5m
.
The fluid has a density of
ρ
f
=1000kg/m
3
,
the cube has a density of
ρ
c
=1200Kg/m
3
and each side has a length of
a=0.5m.
Answer the following questions:
Consider the pressure on the left, right, front and
back walls of the cube.
Note the total horizontal
forces balance to zero.
y
A
y
B
a)
Find the change in pressure between the top and the bottom faces (Be sure to
show the energy diagram, and use Bernoulli’s principle – also known as the
energy density equation).
c)
Find the difference between the force on the top face and the force on the bottom
face (This is called the Buoyant force – Archimedes’ Principle).
d)
Calculate the force of gravity on the block which is given by F=mg.
Will it sink or
float to the top?
I
=
V
Δ
t
=
Av
,
A
A
v
A
=
A
B
v
B
[
]
,
P
=
F
A
,
P
gauge
=
ρ
gd
[
]
,
P
total
=
P
atm
+
P
gauge
[
]
,
P
atm
=1
×
10
5
Pa
[
]
,
PV
=
nRT
[
]
g
=
9.8
m
s
2
[
]
,
ρ
=
m
V
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 Winter '10
 Cebra
 Buoyancy, Force, Archimedes, Fundamental physics concepts, math error

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