Practice Problems
Hydrostatics #2
Directions:
On this worksheet ...
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Question 1
Rank in the order of largest to smallest the densities of objects A, B, and C.
A = B > C
A > C > B
C > B = A
B = C > A
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Question 2
A diver descends from a salvage ship to the ocean floor at a depth of 35 meters below the ocean's surface. The density of seawater is 1025 kg/m
^{3}
. Calculate the absolute pressure on the diver when he reaches the bootom.
3.52 x 10
^{5}
Pa
4.53 x 10
^{5}
Pa
1.23 x 10
^{7}
Pa
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Question 3
On the bottom, the diver in
Question #2
finds a rectangular aluminum (density = 2.7 x 10
^{3}
kg m
^{3}
) plate having dimensions 1 meters x 2 meters x 0.03 meters. A hoisting cable is lowered from the salvage ship so that the diver can connect it to the plate. Calculate the tension in the cable while the plate is being raised to the surface at a slow, constant velocity.
2.19 x 10
^{3}
N
9.85 x 10
^{2}
N
6.03 x 10
^{2}
N
1.59 x 10
^{3}
N
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Question 4
A 227 kg flat-bottomed raft is floating in a fresh water lake (density = 1000 kg/m
^{3}
). Assuming that the base of the raft is 2.2 meters wide and 4 meters long, how much of the raft is submerged when it carries 6 passengers who each have a mass of 66.8 kg
0.0713 meters
0.0334 meters
0.0455 meters
0.0258 meters
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Question 5
In the figure shown below, a box of dimensions of x = 12 cm, y = 6.68 cm, and z = 12 cm rests on the bottom of a tank. The tank filled to depth D = 40 cm with water. If the tank is open to the atmosphere, what is the force on the (shaded) top of the box?
2200 N
832 N
3142 N
810 N
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Question 6
The following four vessels are all open to the atmosphere and contain the same height of liquid. In which vessel is the force of the liquid on the base of the container the greatest?
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Question 7
The figure below shows a closed container partially filled with liquid. Point Y is at a depth of 1 m, and point Z is at a depth of 3 m. If the absolute pressure at point Y is 12000 Pa, and the absolute pressure at point Z is 30000 Pa, what is the pressure at the surface, point X?
2400 Pa
12000 Pa
3000 Pa
9000 Pa
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