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 530-gram piece of metal (specific gravity = 9) is suspended from a spring scale and is submerged in water. What force does the spring scale read?
5.771 N
4.617 N
5.771 N
5.194 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 force is greater on Object K since it has lower density and lower density objects always float 'higher' in the fluid
The buoyant forces are equal on the objects since they have equal mass.
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 = 9.0 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 0.31 meters?
3.94 x 10
^{5}
N
3.64 x 10
^{5}
N
3.33 x 10
^{5}
N
3.05 x 10
^{4}
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 9 m
^{2}
. If the raft has a total volume of 3.1 m
^{3}
and is composed of a material having a density of 669 kg/m
^{3}
, how much of the raft's height is underwater?
0.230 meters
0.669 meters
0.344 meters
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Question 5
How many 93-kg people can safely sit on the raft in
Question #4
without the top of the raft sinking below the surface of the water?
11 passenger(s)
2 passenger(s)
14 passenger(s)
3 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
B > A > C
A = B = C
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Question 7
A gas is confined in an enclosed cylinder has a density of 3.1 g/cm
^{3}
. The radius of the cylinder is adjusted until it is 5 times as large while its length is 1/6 as great, how will the density of the confined gas change?
12.92 g/cm
^{3}
0.74 g/cm
^{3}
2.58 g/cm
^{3}
12.92 g/cm
^{3}
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