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15-25

An iron anchor of density 7870 kg/m^3 appears 200 N lighter in water than in air.
(a) What is the volume of the anchor?
(b) How much does it weigh in air? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155062

 $ 1.0  

15-26

In Fig.15-26, a cubical object of dimensions L = 0.600 m on a side and with a mass of 450 kg is suspended by a rope in an open tank of liquid of density 1030 kg/m^3.
(a) Find the magnitude of the total ownward force on the top of the object from the liquid and the atmosphere, assuming that atmospheric pressure is 1.00 atm.
(b) Find the magnitude of the total upward force on the bottom of the object.
(c) Find the tension in the rope.
(d) Calculate the magnitude of the buoyant force on the object using Archimedes' principle.
What relation exists among all these quantities? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155064

 $ 1.5  

15-27

A block of wood floats in fresh water with two-thirds of its volume submerged. In oil the block floats with 0.90 of its volume submerged.
Find the density of (a) the wood and (b) the oil. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155065

 $ 1.0  

15-29

A hollow sphere of inner radius 8.0 cm and outer –≥adius. 9.0 cm floats half-submerged in a liquid of density 800 kg/m^3,
(a) What is the mass of the sphere?
(b) Calculate the density of the material of which the sphere is made. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155066

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15-30

About one-third of the body of a person floating in the Dead Sea will be above the water line. Assuming that the human body density is 0.98 g/cm^3, find the density of the water in the Dead Sea. (Why is it so much greater than 1.0 g/cm^3?) ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155067

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15-31

A hollow spherical iron shell floats almost completely sub merged in water. The outer diameter is 60.0 cm, and the density of iron is 7.87 g/cm^3.
Find the inner diameter. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155068

 $ 1.0  

15-32

A block of wood has a mass of 3.67 kg and a density of 600 kg/m^3. It is to be loaded with lead so that it will float in water with 0.90 of its volume submerged.
What mass of lead is needed (a) if the lead is attached to the top of the wood and
(b) if the lead is attached to the bottom of the wood?
The density of lead is 1.13 x 10^4 kg/m^3. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155069

 $ 1.0  

15-33

An iron casting containing a number of cavities weighs 6000 N in air and 4000 N in water.
What is the total volume of all cavities in the casting?
The density of iron (that is, a sample with no cavities) is 7.87 g/cm^3. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155070

 $ 1.0  

15-34

Assume the density of brass weights to be 8.0 g/cm^3 and that of air to be 0.0012 g/cm^3.
What percent error arises from neglecting the buoyancy of air in weighing an object of mass m and density r balance? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155071

 $ 1.5  

15-35

(a) What is the minimum area of the top surface of a slab of ice 0.30 m thick floating on fresh water that will hold up an auto-mobile of mass 1100 kg?
(b) Does it matter where the car is placed on the block of ice? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155072

 $ 1.0  

15-36

Three children, each of weight 356 N, make a log raft by lashing together logs of diameter 0.30 m and length 1.80 m.
How many logs will be needed to keep them afloat in fresh water?
Take the density of the logs to be 800 kg/m^3. ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155075

 $ 1.0  

15-38

A car has a total mass of 1800 kg. The volume of air space in the passenger compartment is 5.00 m^3. The volume of the motor and front wheels is 0.750 m^3, and the volume of the rear wheels, gas tank, and trunk is 0.800 m^3; water cannot enter these areas. The car is parked on a hill; the handbrake cable snaps and the car rolls down the hill into a lake (Fig.15-38).

(a) At first, no water enters the passenger compartment. How much of the car, in cubic meters, is below the water surface with the car floating as shown?
(b) As water slowly enters, the car sinks. How many cubic meters of water are in the car as it disappears below the water surface?
(The car, with a heavy load in the trunk, remains horizontal.)
...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155077

 $ 1.0  

15-39

A garden hose with an internal diameter of 1.9 cm is connected to a (stationary) lawn sprinkler that consists merely of an enclosure with 24 holes, each 0.13 cm in diameter.
If the water in the hose has a speed of 0.91 m/s, at what speed does it leave the sprinkler holes? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155078

 $ 1.0  

15-40

Figure 15-40 shows the merging of two streams to form a river. One stream has a width of 8.2 m, depth of 3.4 m, and current speed of 2.3 m/s. The other stream is 6.8 m wide and 3.2 m deep, and flows at 2.6 m/s. The width of the river is 10.5 m, and the current speed is 2.9 m/s.
What is its depth? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155080

 $ 0  

15-41

Water is pumped steadily out of a flooded basement at a speed of 5.0 m/s through a uniform hose of radius 1.0 cm. The hose passes out through a window 3.0 m above the waterline.
What is the power of the pump? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155081

 $ 1.0  

15-42

The water flowing through a 1.9 cm (inside diameter) pipe flows out through three 1.3 cm pipes.
(a) If the flow rates in the three smaller pipes are 26, 19, and 11 L/min, what is the flow rate in the 1.9 cm pipe?
(b) What is the ratio of the speed of water in the 1.9 cm pipe to that in the pipe carrying 26 L/min? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155082

 $ 0  

15-43

Water is moving with a speed of 5.0 m/s through a pipe with a cross-sectional area of 4.0 cm^2. The water gradually descends 10 m as the pipe increases in area to 8.0 cm^2.
(a) What is the speed at the lower level?
(b) If the pressure at the upper level is 1.5 x 10^5 Pa, what is the pressure at the lower level? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155083

 $ 1.0  

15-44

Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model airplanes. Consider a circular pipe of internal diameter 25.0 cm and a torpedo model, aligned along the axis of the pipe, with a diameter of 5.00 cm. The model is to be tested with water flowing past it at 2.50 m/s.
(a) With what speed must the water flow in the part of the pipe that is unconstricted by the model?
(b) What will the pressure difference be between the constricted and unconstricted parts of the pipe? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155084

 $ 1.0  

15-45

A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 170 kPa. If the pipe tapers to 1.2 cm and rises to the second floor 7.6 m above the input point,
what are (a) the speed and
(b) the water pressure at the second floor? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155085

 $ 1.0  

15-46

A water intake at a pump storage reservoir (Fig.15-46) has a cross-sectional area of 0.74 m^2. The water flows in at a speed of 0.40 m/s. At the generator building 180 m below the intake point, the cross-sectional area is smaller than at the intake and the water flows out at 9.5 m/s.
What is the difference in pressure, in megapascals , between inlet and outlet? ...MORE

Subject: Physics   |   Topic: Fluids  |   ID: 155087

 $ 1.0  
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