Practice Problems
Mixed Fluids
"
Topics:
On this worksheet you will practice Bernoulli's Equation, density, buoyancy, and a review of projectile motion.
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omit
Question 1
A 576-gram piece of metal (specific gravity = 7) is suspended from a spring scale and then submerged in water as shown in the picture below. What force does the spring scale read?
5.645 N
8.064 N
6.451 N
4.838 N
omit
Question 2
A 10 cm-thick block of ice, having a density of = 0.92 x 10
3
kg/m
3
, will be submerged in an ocean, having a density of = 1.03 x 10
3
kg/m
3
. If you assume that there is little to no thermal exchange, how much of the ice will be submerged?
1.1 cm
9.8 cm
8.9 cm
5.7 cm
omit
Question 3
In the figure shown below, a box of dimensions of x = 13 cm, y = 6.51 cm, and z = 8 cm rests on the bottom of a tank. The tank filled to depth D = 30 cm with water. If the tank is open to the atmosphere, what is the force on the (shaded) top of the box?
1825 N
2488 N
873 N
855 N
omit
Question 4
If the density of granite is 2.1 x 10
3
kg/m
3
, how much pressure would a solid cylindrical pillar having a radius 25 cm and a height of 130.2 cm exert on the ground?
3.35 x 10
3
N/m
2
1.03 x 10
3
N/m
2
2.68 x 10
4
N/m
2
4.21 x 10
4
N/m
2
omit
Question 5
In the pipe shown below, which carries water, the flow speed at point X, which has a diameter of 3 cm, is 13 m/s. What is the flow speed at point Y if it has a diameter of 6.3 cm?
2.95 m/sec
27.3 m/sec
6.19 m/sec
0.34 m/sec
omit
Question 6
Water flows out of a 2.1-meter tall cylinder through an open pipe, as shown below.
At what horizontal distance from the base of the cylinder will the water stream strike the ground?
0.60 m
3.25 m
1.90 m
1.20 m
omit
Question 7
An underground pipe carries water of density 1000 kg/m
3
to a fountain at ground level, as shown below. At point A, 0.576 meters below ground level, the pipe has a cross-sectional area of 1 x 10
-4
m
2
. At ground level, the pipe has a cross-sectional area of 0.744 x 10
-4
m
2
.
If the water leaves the pipe at point B at a speed of 13 m/sec, what is the speed of the water at point A?
3.83 m/sec
9.672 m/sec
17.47 m/sec
0.97 m/sec
omit
Question 8
What is the maximum height above the ground that the water reaches upon leaving the pipe vertically at ground level, assuming air resistance is negligible
34.49 meters
6.42 meters
8.62 meters
4.77 meters
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