Practice Problems
Hydrostatics
Directions:
On this worksheet you will practice basic relationships involved in your study of hydrostatics.
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Question 1
A 468-gram piece of metal (specific gravity = 7) is suspended from a spring scale and is submerged in water. What force does the spring scale read?
3.931 N
4.586 N
6.552 N
5.242 N
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Question 2
Two objects labeled K and L have equal mass but densities of 0.95D
_{o}
and D
_{o}
, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?
The buoyant force is greater on Object K since it has a lower density and displaces more water.
The buoyant forces are equal on the objects since they have equal mass.
The buoyant force is greater on Object K since it has lower density and lower density objects always float 'higher' in the fluid
The buoyant force is greater on Object L since it is denser than K and therefore 'heavier.'
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Question 3
The experimental diving bell shown below is lowered from rest at the ocean’s surface and reaches a maximum depth of 120 meters. During the descent, the pressure inside the bell remains constant at 1 atmosphere. The top of the bell has a cross-sectional area A = 7.0 m
^{2}
. The density of seawater is 1025 kg/m
^{3}
.
When the bell reaches the ocean bottom what will the minimum force to open the hatch if it has a radius of 0.3 meters?
2.86 x 10
^{4}
N
3.41 x 10
^{5}
N
3.69 x 10
^{5}
N
3.12 x 10
^{5}
N
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Question 4
A large rectangular raft is floating on a lake. The surface area of the top of the raft is 7 m
^{2}
. If the raft has a total volume of 3 m
^{3}
and is composed of a material having a density of 677 kg/m
^{3}
, how much of the raft's height is underwater?
0.677 meters
0.290 meters
0.429 meters
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Question 5
How many 90-kg people can safely sit on the raft in
Question #4
without the top of the raft sinking below the surface of the water?
10 passenger(s)
3 passenger(s)
14 passenger(s)
4 passenger(s)
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Question 6
Three objects of identical mass attached to strings are suspended in a large tank of liquid, as shown below. Rank the densities of the masses from greatest to smallest.
C > A > B
A = B = C
B > A > C
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Question 7
A gas is confined in an enclosed cylinder has a density of 3 g/cm
^{3}
. The radius of the cylinder is adjusted until it is 3 times as large while its length is 1/4 as great, how will the density of the confined gas change?
2.25 g/cm
^{3}
6.75 g/cm
^{3}
6.75 g/cm
^{3}
1.33 g/cm
^{3}
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