Question 1

A wooden raft has a mass of 50 kg.When empty it floats in water (density   with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

Accepted Answer

The answer of A wooden raft has a mass of...

Question 2

A copper sphere has a radius of 2.50 m under normal room pressure of 1.0 × 105 N/m2.If we increase the pressure on this sphere to 10 times the normal room pressure,what is the change in its volume? The bulk modulus for copper is 1.4 × 1011 Pa.

Accepted Answer

Question 3

The small piston of a hydraulic lift has a diameter of 8.0 cm,and its large piston has a diameter of 40 cm.The lift raises a load of 15,000 N.
(a)Determine the force that must be applied to the small piston.
(b)Determine the pressure applied to the fluid in the lift.

Accepted Answer

(a)600 N (

Question 4

Water flows in the horizontal pipe shown in the figure.At point A the area is 25.0 cm2 and the speed of the water is   At B the area is 16.0 cm2.The fluid in the manometer is mercury,which has a density of 13,600 kg/m3.We can treat water as an ideal fluid having a density of 1000 kg/m3.What is the manometer reading h?

Accepted Answer

A) 0.546 cm 
B) 1.31 cm 
C) 2.81 cm 
D) 2.16 cm 
E) 3.36 cm 
A) 0.546 cm 
B) 1.31 cm 
C) 2.81 cm 
D) 2.16 cm 
E) 3.36 cm

Question 5

A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0 N.What is the Young's modulus of this wire?

Accepted Answer

A) 5.66 × 1010 N/m2 
B) 3.54 × 109 N/m2 
C) 1.41 × 1010 N/m2 
D) 6.43 × 109 N/m2 
E) 2.78 × 109 N/m2 
A) 5.66 × 1010 N/m2 
B) 3.54 × 109 N/m2 
C) 1.41 × 1010 N/m2 
D) 6.43 × 109 N/m2 
E) 2.78 × 109 N/m2

Question 6

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m3)is raised up so the rock is totally submerged in the water.The scale now reads
12.5 N.What is the density of the rock?

Accepted Answer

A) 1.60 × 103 kg/m3 
B) 2.50 × 103 kg/m3 
C) 2.33 × 103 kg/m3 
D) 3.00 × 103 kg/m3 
E) 2.67 × 103 kg/m3 
A) 1.60 × 103 kg/m3 
B) 2.50 × 103 kg/m3 
C) 2.33 × 103 kg/m3 
D) 3.00 × 103 kg/m3 
E) 2.67 × 103 kg/m3

Question 7

What is the radius of a sphere that has a density of 5000 kg/m3 and a mass of 6.00 kg?

Accepted Answer

A) 4.98 cm 
B) 1.27 cm 
C) 6.59 cm 
D) 1.56 cm 
E) 7.22 cm 
A) 4.98 cm 
B) 1.27 cm 
C) 6.59 cm 
D) 1.56 cm 
E) 7.22 cm

Question 8

Fluid fills the container shown in the figure.At which of the indicated points is the pressure greatest?

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) The pressure is the same at each of the labeled points. 
A) A 
B) B 
C) C 
D) D 
E) The pressure is the same at each of the labeled points.

Question 9

A sphere is constructed of two concentric parts.The inner part is a solid sphere of radius
10.0 cm made of a material with density 4000 kg/m3.The outer part is a spherical shell with inner radius 10.0 cm and outer radius 20.0 cm.The material in the outer shell has a density
9000 kg/m3.
(a)What is the mass of the sphere?
(b)What is the average density of this sphere?

Accepted Answer

(a)281 kg

Question 10

Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was   what is its speed in this smaller section?

Accepted Answer

A) 49 m/s 
B) 42 m/s 
C) 31 m/s 
D) 27 m/s 
A) 49 m/s 
B) 42 m/s 
C) 31 m/s 
D) 27 m/s

Question 11

A sample of tendon 3.00 cm long and 4.00 mm in diameter is found to break under a minimum force of 128 N.If instead the sample had been 1.50 cm long and of uniform composition and cross-sectional area,what minimum force would have been required to break it?

Accepted Answer

A) 32 N 
B) 64 N 
C) 128 N 
D) 256 N 
E) 512 N 
A) 32 N 
B) 64 N 
C) 128 N 
D) 256 N 
E) 512 N

Question 12

The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m3.The manometer contains incompressible mercury with a density of 13,600 kg/m3.What is the difference in elevation h if the manometer reading m is 25.0 cm?

Accepted Answer

A) 1.58 m 
B) 4.20 m 
C) 3.75 m 
D) 3.40 m 
E) 3.15 m 
A) 1.58 m 
B) 4.20 m 
C) 3.75 m 
D) 3.40 m 
E) 3.15 m

Question 13

A paint sprayer pumps air through a constriction in a 2.50-cm diameter pipe,as shown in the figure.The flow causes the pressure in the constricted area to drop and paint rises up the feed tube and enters the air stream.The speed of the air stream in the 2.50-cm diameter sections is 5.00 m/s.The density of the air is 1.29 kg/m3,and the density of the paint is 1200 kg/m3.We can treat the air and paint as incompressible ideal fluids.What is the maximum diameter of the constriction that will allow the sprayer to operate?

Accepted Answer

A) 8.07 mm 
B) 4.05 mm 
C) 12.2 mm 
D) 9.65 mm 
E) 14.3 mm 
A) 8.07 mm 
B) 4.05 mm 
C) 12.2 mm 
D) 9.65 mm 
E) 14.3 mm

Question 14

If you double the pressure on the surface of a can of water,the buoyant force on a stone placed in that water will

Accepted Answer

A) increase,but not double. 
B) double. 
C) decrease,but not by one-half. 
D) not change. 
A) increase,but not double. 
B) double. 
C) decrease,but not by one-half. 
D) not change.

Question 15

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10-4.The bulk modulus of the oil is 6.0 × 109 N/m2 and is independent of the pressure.What is the pressure change that produced the volume strain in the oil?

Accepted Answer

A) 1.2 MN/m2 
B) 1.4 MN/m2 
C) 1.6 MN/m2 
D) 1.8 MN/m2 
E) 2.0 MN/m2 
A) 1.2 MN/m2 
B) 1.4 MN/m2 
C) 1.6 MN/m2 
D) 1.8 MN/m2 
E) 2.0 MN/m2

Question 16

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10-4.The bulk modulus of the oil is 6.0 × 109 N/m2 and is independent of the pressure.By how many milliliters does this pressure reduce the volume of the oil?

Accepted Answer

A) 2.0 mL 
B) 2.4 mL 
C) 2.8 mL 
D) 3.2 mL 
E) 3.6 mL 
A) 2.0 mL 
B) 2.4 mL 
C) 2.8 mL 
D) 3.2 mL 
E) 3.6 mL

Question 17

A very light 1.00-m wire consists of two segments of equal length,one of steel (Young's modulus is 2.00 × 1011 N/m2)and one of brass (Young's modulus is 9.0 × 1010 N/m2).The steel segment is 1.50 mm in diameter,and the brass segment has twice this diameter.When a weight w is hung from the ceiling by this wire,the steel segment stretches by 1.10 mm.Find the weight w.

Accepted Answer

A) 190 N 
B) 390 N 
C) 780 N 
D) 1000 N 
E) 3100 N 
A) 190 N 
B) 390 N 
C) 780 N 
D) 1000 N 
E) 3100 N

Question 18

What is the maximum length of a metal cable that can hang vertically supported from one end of the cable? The Young's modulus of this metal is 2.10 × 1011 N/m2,its tensile strength (the maximum tensile stress it can support without breaking)is 7.40 × 108 N/m2,and its density is 7.60 × 103 kg/m3.

Accepted Answer

A) 9.94 km 
B) 4.22 km 
C) 456 km 
D) 1.75 km 
E) 24.8 km 
A) 9.94 km 
B) 4.22 km 
C) 456 km 
D) 1.75 km 
E) 24.8 km

Question 19

In a section of horizontal pipe with a diameter of 3.00 cm the pressure is 5.21 kPa and water is flowing with a speed of 1.50 m/s.The pipe narrows to 2.50 cm.What is the pressure in the narrower region if water behaves like an ideal fluid of density 1000 kg/m3?

Accepted Answer

A) 4.00 kPa 
B) 7.50 kPa 
C) 5.82 kPa 
D) 6.42 kPa 
E) 4.61 kPa 
A) 4.00 kPa 
B) 7.50 kPa 
C) 5.82 kPa 
D) 6.42 kPa 
E) 4.61 kPa

Question 20

You are driving a late model convertible car at the 65 mph speed limit with its soft flexible roof closed up and the windows closed.You observe that the roof

Accepted Answer

A) bows inward. 
B) is no different from when the car was at rest. 
C) bows outward. 
D) bows inward only when you are driving uphill. 
E) bows inward only when you are driving downhill. 
A) bows inward. 
B) is no different from when the car was at rest. 
C) bows outward. 
D) bows inward only when you are driving uphill. 
E) bows inward only when you are driving downhill.

Exam 14: Fluids and Elasticity

A wooden raft has a mass of 50 kg.When empty it floats in water (density with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

A copper sphere has a radius of 2.50 m under normal room pressure of 1.0 × 105 N/m2.If we increase the pressure on this sphere to 10 times the normal room pressure,what is the change in its volume? The bulk modulus for copper is 1.4 × 1011 Pa.

The small piston of a hydraulic lift has a diameter of 8.0 cm,and its large piston has a diameter of 40 cm.The lift raises a load of 15,000 N. (a)Determine the force that must be applied to the small piston. (b)Determine the pressure applied to the fluid in the lift.

A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0 N.What is the Young's modulus of this wire?

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m3)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

What is the radius of a sphere that has a density of 5000 kg/m3 and a mass of 6.00 kg?

Fluid fills the container shown in the figure.At which of the indicated points is the pressure greatest?

Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was what is its speed in this smaller section?

A sample of tendon 3.00 cm long and 4.00 mm in diameter is found to break under a minimum force of 128 N.If instead the sample had been 1.50 cm long and of uniform composition and cross-sectional area,what minimum force would have been required to break it?

The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m3.The manometer contains incompressible mercury with a density of 13,600 kg/m3.What is the difference in elevation h if the manometer reading m is 25.0 cm?

If you double the pressure on the surface of a can of water,the buoyant force on a stone placed in that water will

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10-4.The bulk modulus of the oil is 6.0 × 109 N/m2 and is independent of the pressure.What is the pressure change that produced the volume strain in the oil?

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10-4.The bulk modulus of the oil is 6.0 × 109 N/m2 and is independent of the pressure.By how many milliliters does this pressure reduce the volume of the oil?

What is the maximum length of a metal cable that can hang vertically supported from one end of the cable? The Young's modulus of this metal is 2.10 × 1011 N/m2,its tensile strength (the maximum tensile stress it can support without breaking)is 7.40 × 108 N/m2,and its density is 7.60 × 103 kg/m3.

In a section of horizontal pipe with a diameter of 3.00 cm the pressure is 5.21 kPa and water is flowing with a speed of 1.50 m/s.The pipe narrows to 2.50 cm.What is the pressure in the narrower region if water behaves like an ideal fluid of density 1000 kg/m3?

You are driving a late model convertible car at the 65 mph speed limit with its soft flexible roof closed up and the windows closed.You observe that the roof

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A copper sphere has a radius of 2.50 m under normal room pressure of 1.0 × 10⁵N/m².If we increase the pressure on this sphere to 10 times the normal room pressure,what is the change in its volume? The bulk modulus for copper is 1.4 × 10¹¹ Pa.

A rock is suspended from a scale reads 20.0 N.A beaker of water (having a density of 1000 kg/m³)is raised up so the rock is totally submerged in the water.The scale now reads 12.5 N.What is the density of the rock?

What is the radius of a sphere that has a density of 5000 kg/m³ and a mass of 6.00 kg?

The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m³.The manometer contains incompressible mercury with a density of 13,600 kg/m³.What is the difference in elevation h if the manometer reading m is 25.0 cm?

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10^-4.The bulk modulus of the oil is 6.0 × 10⁹ N/m² and is independent of the pressure.What is the pressure change that produced the volume strain in the oil?

A 12-L volume of oil is subjected to a pressure change,which produces a volume strain on the oil of -3.0 × 10^-4.The bulk modulus of the oil is 6.0 × 10⁹ N/m² and is independent of the pressure.By how many milliliters does this pressure reduce the volume of the oil?

In a section of horizontal pipe with a diameter of 3.00 cm the pressure is 5.21 kPa and water is flowing with a speed of 1.50 m/s.The pipe narrows to 2.50 cm.What is the pressure in the narrower region if water behaves like an ideal fluid of density 1000 kg/m³?