WorksheetsMidterm Exam-Fluid Mechanics
Total questions: 56
Worksheet time: 2hrs 19mins
Which of the following quantities is independent of the size and shape of an object composed of a given material?
volume
mass
weight
density
Gasoline has a specific gravity of 0.68. One liter of gasoline weighs __________
0.68 N
1.4 N
6.7 N
6..8 N
A quart of water weighs 2.1 lb and a quart of antifreeze weighs 2.3 lb. The specific gravity of the antifreeze is _____
0.2
0.9
1.1
2.3
When a pressure of 2.0 MPa is applied to a sample of kerosene, it contracts by 0.15%. The bulk modulus of kerosene is __________
1.7 MPa
1.997 MPa
2.003 MPa
1.3 GPa
The specific volume of a liquid is the reciprocal of _______
weight density
mass density
specific weight
specific volume
Two fluids 1 and 2 have mass densities of p1 and p2 respectively. If p1 > p2, which one of the following expressions will represent the relation between their specific volumes v1 and v2?
v1 > v2
v1 = v2
v1 < v2
Cannot be determined due to insufficient information.
Specific gravity is what kind of property?
Intensive
Extensive
It depends on external conditions
None of the mentioned
If there is bucket full of oil and bucket full of water and you are asked to lift them, which one of the two will require more effort given that volume of buckets remains same?
Oil bucket
Water bucket
Equal effort will be required to lift both of them
None of the mentioned
An instrument with air as fluid was involved in some experiment( specific volume was the characteristic property utilized) which was conducted during day in desert. Due to some reason experiment couldn’t be conducted during day and had to be conducted during night. However there were considerable errors in obtained values. What might be the reason of these errors?
i. It was human error
ii. It was instrumental error
iii. Error was due to the fact that experiment was conducted at night
i
ii
iii
i & ii
For his trip around the world, Billy Bob will use a helium-filled balloon with a volume of 2300 m3 and a total weight of 5500 N. Given the density of helium of 0.178 kg/m3, what is the maximum load that the balloon can lift?
.98 x 104N
1.92 x 104
1.94 x 104N
1.96 x 104N
Atmospheric pressure does not correspond to approximately __________.
14.7 lb/in²
98 N/m²
1013 mb
1.013 x 105 Pa
A 10-lb brick has the dimensions 4 in x 6 in x 12 in. The minimum pressure it can exert when one of its faces rests on a horizontal surface is __________.
10 lb/ft²
20 lb/ft²
30 lb/ft²
60 lb/ft²
The hydrostatic pressure due to 50-cm mercury (ρ=13.6 g/cm3) is ___________.
6.6 x 105 N/m2
6.6 x 10-5 dyn/cm2
6.6 x 10-5 N/m2
6.6 x 105 dyn/cm2
As you climb a mountain, your ears “pop” because of the changes in atmospheric pressure. In which direction, outward or inward, does your eardrum move (1) as you climb up; (2) as you descended?
inward, outward
outward, outward
outward, inward
inward, inward
The hydrostatic pressure due to a 50-cm of water is _________.
4.9 x 105 N/m2
4.9 x 104 dyn/cm2
4.9 x 105 dyn/cm2
4.9 x 104 N/m2
Could you use a straw to sip a drink on the moon?
i.Yes, and it is easier on the moon because the acceleration due to gravity on the moon is only 1/6 of that on the earth
ii. Yes. It would be no different than drinking with a straw on earth
iii. No, because there is no air on the moon and, therefore, no air pressure to push the liquid up the straw
i
ii
iii
i & ii
A cuboidal beaker is half filled with water. By what percent will the hydrostatic force on one of the vertical sides of the beaker increase if it is completely filled?
100
200
300
400
Equal volume of two liquids of densities ρ1 and ρ2 are poured into two identical cuboidal beakers. The hydrostatic forces on the respective vertical face of the beakers are F1 and F2 respectively. If ρ1 > ρ2, which one will be the correct relation between F1 and F2?
F1 > F2
F1 ≥ F2
F1 < F2
F1 ≤ F2
Dam A and dam B are identical in size and shape, and the water levels are at the same height above their bases. Dam A holds back a lake that contains 1 km3 of water, and dam B holds back a lake that contains 2 km3 of water. Compare the ratio between the total force exerted on dam A and that of dam B.
force on dam A is greater than that of dam B
It depends on the total mass of water
force on dam A is less than that of dam B
forces are the same
A sailboat has a lead keel to help keep it upright despite the pressure wind exerts on its sails. What difference, if any, is there between stability of a sailboat in freshwater and in seawater?
the boat is less stable in freshwater because the buoyancy of the boat’s keel is more there
the boat is more stable in freshwater because the buoyancy of the boat’s keel is less
the boat is less stable in seawater because the buoyancy of the boat’s keel is less
the boat is more stable in seawater because the buoyancy of the boat’s keel is less
An ice cube floats in a glass of water filled to the brim. What will happen when ice melts?
i. water overflows
ii. water level in the stays the same
iii. moisture of water appears in the outer part of the glass
i
ii
iii
i & ii
A person drinks a soda through a straw. Why does the soda move upward?
i. The person raises the pressure in the straw by sucking it and atmospheric pressure on its surface then forces the soda upward.
ii. The person reduces the pressure in the straw by sucking it and atmospheric pressure on its surface then forces the soda upward.
iii. The person exerts a force in sucking it then forces the soda upward.
i
ii
iii
ii & iii
In central Sweden a bridge carries the Gota Canal over a highway. What, if anything, happens to the load on the bridge when a boat passes across it?
i. the load on the bridge does not change because the boat displaces a volume of water whose weight equals its own weight
ii. the load on the bridge is affected as the boat passes across it
iii. depending on the mass of the boat
i
ii
iii
ii & iii
A ship catches fire, and its steel hull expands as a result of the increase in temperature.
What happens to the volume of water the ship displaces? What happens to the ship’s freeboard?
the volume of water the ship displaces increases and the ship’s free board increases as well
the volume of water the ship displaces decreases and the ship’s free board decreases as well
the volume of water the ship displaces increases and the ship’s free board decreases
the volume of water the ship displaces decreases and the ship’s free board increases
An aluminum canoe is floating in a swimming pool. After a while it begins to leak and sinks to the bottom of the pool. What happens to the water level in the pool?
i. the water level falls.
ii. the water level stays the same
iii . the water level rises
i
ii
iii
ii & iii
Why is it more dangerous when ice forms on an airplane’s wings than when it forms on its fuselage?
i. Ice on the wings interferes with the intended flow of air past them and so decreases the lift they produce.
ii. Ice on the fuselage increases the weight of the airplane and increases air resistance.
iii. Ice on the wings interferes with the intended flow of air past them and so increases the lift they produce.
Ice on the fuselage increases the weight of the airplane and decreases air resistance
i
i & ii
iii & iv
i & iv
Why does a steel ship float when the density of steel is nearly eight times that of water?
i. a ship is a hollow shell, so its average density is less than that of water
ii. a ship is concave in shape, so its average density is less than that of water
iii. a ship is convex in shape, so its average density is less than that of water
iv. a ship is a hollow shell, so its average density is more than that of water
i
i & ii
i, ii & iii
iv
A 2-N stone dropped into a lake sinks. The buoyant force on the stone is __________
0
less than 2 N
2 N
more than 2 N
A raft 8 ft wide, 12 ft long and 2 ft high is made from solid balsa wood (dg=8 lb/ft3). How much weight can it support in seawater (dg=64 lb/ft3)?
10,257 lb
10,527 lb
10752 lb
17,052 lb
A balloon weighing 100 kg has a capacity of 1000 m3. If it is filled with hydrogen, how great a payload in kilograms can it support? At sea level the density of hydrogen is 0.09 kg/m3 and that of air is 1.3 kg/m3.
1011 kg
1101 kg
1110 kg
1111 kg
How can relatively denser object be made to float on the less dense fluid?
i. By altering the shape.
ii. By altering the forces acting on the object
iii. By altering the shear forces acting on the object
i
ii
iii
ii & iii
Find the density of metallic body which floats at the interface of mercury of sp.gr 13.6 and water such that 40 % of its volume is sub-merged in mercury and 60% in water.
6040 kg/m3
12080 kg/m3
24160 kg/m3
3020 kg/m3
A manometric liquid should suitably have _________
Low density & Low Vapour pressure
High density & Low Vapour pressure
Low density & High Vapour pressure
High density & High Vapour pressure
An object suspended from a spring scale is lowered into a pail filled to the brim with a liquid, and 4 N of the liquid overflow. The scale indicates that the object weighs 6 N in the liquid. The weight in air of the object is
2 N
4 N
6 N
10 N
In the operation of a hydraulic press, it is impossible for the output piston to exceed the input piston’s _______
displacement
speed
force
work
A 20-kg piston rests on a sample of gas in a cylinder 10 cm in radius. The absolute pressure on the gas is ________
0.0064 bar
0.062 bar
1.019 bars
1.075 bars
The input piston of a hydraulic press is 20 mm in diameter, and the output piston is 10 mm in diameter. An input force of 1.0 N will produce an output force of
0.25 N
0.50 N
2.0 N
4.0 N
The hydraulic press is able to produce a mechanical advantage because ________
the force a fluid exerts on a piston is always parallel to its surface
the pressure in a fluid varies with its speed
an external pressure exerted on a fluid is transmitted uniformly throughout its volume
A) at any depth in a fluid the pressure is the same in all directions
An aneurysm can be approximated as an elastic sphere with a small opening by which blood circulates and exerts pressure against the inner wall. The force exerted by the blood on an aneurysm, given a blood pressure of 150 mmHg and a cross-sectional area of 25 cm2 is _________
50.0 dyne
49.8 dyne
50.0 N
49.8 N
A method for resealing a partially full bottle of wine under a vacuum uses a specially designed rubber stopper to close the bottle. A simple pump is attached to the stopper, and to remove air from the bottle, the plunger of the pump is pulled up and then released. After about 15 pull-and-release cycles the wine is under a partial vacuum. On the fifteenth pull-and release cycle, does it require _________to pull the plunger up than it did on the first cycle.
i. less force ii. more force iii. the same
i
ii
iii
ii & iii
Consider the piston of cross-sectional area
10-2 m2 exerting a force of 600 N on a water-filled container of height h=0.8 m. The pressure exerted on the bottom of the container of 10-1 m2 is _________
67,480 N/m2
67,840 N/m2
67,084 N/m2
76,480 N/m2
The Pascal’s law is applicable to the liquid which is __________________
Compressible
Solid in phase
In-compressible
Super-compressive
A hypodermic syringe whose cylinder is 10 mm in diameter is used to inject a liquid into a patient’s vein in which the blood pressure is 2kPa. What is the minimum force needed on the plunger of the syringe?
0.16 N
0.16 N
0.17 N
0.18 N
A hypodermic syringe whose cylinder is 10 mm in diameter is used to inject a liquid into a patient’s vein in which the blood pressure is 2kPa. Does the diameter of the needle irrelevant?
No, needles’ large or small diameter offers no pain
No, an external pressure exerted on a fluid is not transmitted uniformly throughout the fluid.
Yes, an external pressure exerted on a fluid is transmitted uniformly throughout the fluid
Yes, an internal pressure exerted on a fluid is transmitted uniformly throughout the fluid
The hydraulic brake used in automobiles is a direct application of ___________
Archimede’s Principle
Torricelli’s Law
Bernoulli’s Theorem
Pascal’s Law
A force of 120 N is applied to a lever with an AMA of 5 that operated the input piston of a hydraulic press. The input piston has an area of 10 cm2 and the output piston has an area of 125 cm2. What is the force the output piston exerts?
6.5 kN
7.5 kN
7.5 N
6.5 N
Which normally requires more work: pulling the piston of a water pump out of the cylinder or pushing it back in?
i. Pushing it back in usually requires more work.
ii. Pulling it back usually requires more work
iii. Either pushing or pulling it back
i
ii
iii
ii & iii
Halothane, an anesthetic agent, has a density of 1.86g cm-3 and is in a test tube of volume 10 ml. What is the mass of the halothane?
16.8 g
17.6 g
18.6 g
19.8 g
Given a 5-ml volume of ethyl alcohol (ρ=0.81 g/cm3), what is the volume of water (ρ=1.00 g/cm3) required for the mass to equal that of ethyl alcohol?
3.05 ml
4.00 ml
4.05 ml
5.00 ml
What is the force exerted by water on the bottom of an aquarium tank 0.9 m x 0.5 m if the water level is at 0.85 m?
4.95 x 103 N
4.95 x 104 N
5.49 x 103 N
4.49 x 104 N
What is the hydrostatic pressure due to a 50-cm column of (1) water (ρwater=1.0 g cm-3); and (2) mercury (ρmercury=13.6 g cm-3)?
9.4 x 104 dyne cm-2; 4.6 x 105 dyne cm-2
4.9 x 104 dyne cm-2; 4.6 x 105 dyne cm-2
4.9 x 105 dyne cm-2; 4.6 x 104 dyne cm-2
4.9 x 104 dyne cm-2; 6.6 x 105 dyne cm-2
What is the hydrostatic pressure and total pressure at a depth of 4.0 m in a swimming pool?
3.92 x 105 N m-2; 1.40 x 104 N m-2
1.40 x 105 N m-2; 3.92 x 104 N m-2
3.92 x 104 N m-2; 1.40 x 105 N m-2
9.32 x 105 N m-2; 4.10 x 104 N m-2
Consider a piston of cross-sectional area 10-2 m2 exerting a force of 600 N on a water-filled container of height h=0.8 m. Given the density of water of 1000 kg m-3, what is the pressure exerted on the bottom of the container of 10-1 m2?
57,840 N/m2
67,840 N/m2
76,840 N/m2
84,670 N/m2
Consider an inverted cone of height 0.45 m and radius of 0.15 m filled with water. What is the weight and force of the fluid acting downward at the base of the cone?
103.8 N; 311.6 N
108.3 N; 316.1 N
308.1 N; 316.1 N
308.1 N;131.6 N
What is the pressure required to raise water to the top of a building 20 m high?
1.94 x 105 N/m2
1.96 x 105 N/m2
2.94 x 105 N/m2
98 N/m2
Consider an aquarium tank with a base 3.5 ft by 2.0 ft filled water to a depth of 4.0 ft. What is the total pressure exerted on the bottom of the tank?
2357 lb/ft2
2367 lb/ft2
3257 lb/ft2
3267 lb/ft2
