Question 1

At what depth in the ocean is the pressure 280.8 kPa? The density of seawater is 1030 kg/m3 and atmospheric pressure is 101.3 kPa.

Accepted Answer

A) 27.8 m 
B) 17.8 m 
C) 9.80 m 
D) 1.00 m 
A) 27.8 m 
B) 17.8 m 
C) 9.80 m 
D) 1.00 m

Question 2

A 3.14-m long steel cable with a cross-sectional area of 1.42 cm2 is attached to a 894-kg car (   )that has fallen into a pond (   ).How much will the cable stretch as it pulls the car upward at a constant speed? Assume the car is pulled slowly enough to ignore the effects of resistance and ignore the weight of the steel cable.(Young's modulus for steel is 200 x 109 N/m2.)

Accepted Answer

A) 8.5 * 10-4 mm 
B) 9.5 * 10-4 mm 
C) 0.31 mm 
D) 0.85 mm 
E) 0.95 mm 
A) 8.5 * 10-4 mm 
B) 9.5 * 10-4 mm 
C) 0.31 mm 
D) 0.85 mm 
E) 0.95 mm

Question 3

In 1964 the freighter Al Kuwait (mass 2.02 * 106 kg)sank in Kuwait harbor.It was re-floated by filling its hull with polystyrene beads.If the density of sea water is 1025 kg/m3,the average volume of the beads was 8.09 *10-5 m3 and 25 million beads were required,what was the density of the beads? Ignore the buoyant force of the steel in the ship.

Accepted Answer

A) 21.9 kg/m3 
B) 21.2 kg/m3 
C) 24.8 kg/m3 
D) 26.2 kg/m3 
E) 28.0 kg/m3 
A) 21.9 kg/m3 
B) 21.2 kg/m3 
C) 24.8 kg/m3 
D) 26.2 kg/m3 
E) 28.0 kg/m3

Question 4

Two pistons exert forces F1 and F2 on a fluid at points 1 and 2,producing pressures p1 and p2 over areas A1 and A2.If the pistons do not move under the influence of these forces,it then follows necessarily that

Accepted Answer

A) F1 = F2. 
B) F1 = (A2/A1)F2. 
C) F1 = (A1/A2)F2. 
D) p1 = (A1/A2)p2. 
E) A1 = A2. 
A) F1 = F2. 
B) F1 = (A2/A1)F2. 
C) F1 = (A1/A2)F2. 
D) p1 = (A1/A2)p2. 
E) A1 = A2.

Question 5

Find the minimum diameter of a nylon wire 50 m long that will stretch no more than 25 cm when a load of 90.0 kg is hung on the lower end.Assume that Y nylon = 3.51 * 108 N/m2.

Accepted Answer

A) 1.11 cm 
B) 0.253 cm 
C) 0.111 cm 
D) 2.53 cm 
E) 1.24 cm 
A) 1.11 cm 
B) 0.253 cm 
C) 0.111 cm 
D) 2.53 cm 
E) 1.24 cm

Question 6

A plastic cup,15.0 cm in height,is filled to the rim with water.A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out.At what distance does the water land from the bottom of the cup?

Accepted Answer

A) 12.1 cm 
B) 13.6 cm 
C) 14.6 cm 
D) 15.8 cm 
E) 16.1 cm 
A) 12.1 cm 
B) 13.6 cm 
C) 14.6 cm 
D) 15.8 cm 
E) 16.1 cm

Question 7

If 5.2 N of force is required to hold a 24-cm diameter solid ball completely submerged in a vat of water,what is the density of the material out of which the ball is made?

Accepted Answer

A) 0.28 g/cm3 
B) 0.93 g/cm3 
C) 0.98 g/cm3 
D) 0.99 g/cm3 
E) 1.1 g/cm3 
A) 0.28 g/cm3 
B) 0.93 g/cm3 
C) 0.98 g/cm3 
D) 0.99 g/cm3 
E) 1.1 g/cm3

Question 8

A particular steel cable used in the construction of a suspension bridge experiences a stress which stretches the cable by 0.3% of its manufactured length.Given that Young's modulus for steel is 2.0 * 1011 Pa,find the value of this stress.

Accepted Answer

A) 1.5 * 1010 Pa 
B) 2.5 * 1012 Pa 
C) 3.0 * 1011 Pa 
D) 1.0 * 107 Pa 
E) 6.0 * 108 Pa 
A) 1.5 * 1010 Pa 
B) 2.5 * 1012 Pa 
C) 3.0 * 1011 Pa 
D) 1.0 * 107 Pa 
E) 6.0 * 108 Pa

Question 9

The cylindrical container in figure has a radius of 1 m and contains motor oil with viscosity of 0.3 Pa s and a density of 670 kg m-3.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.How much oil flows out of the tube in a period of 10 s if the container is filled to a height of 0.5 m? We can assume that the change in the level of the reservoir over the period of 10 s is negligible.

Accepted Answer

A) 5.65 * 10-2 m3 
B) 8.35 * 10-2 m3 
C) 2.15 * 10-3 m3 
D) 5.65 * 10-3 m3 
E) 1.45 * 10-2 m3 
A) 5.65 * 10-2 m3 
B) 8.35 * 10-2 m3 
C) 2.15 * 10-3 m3 
D) 5.65 * 10-3 m3 
E) 1.45 * 10-2 m3

Question 10

A plastic cup,15.0 cm in height,is filled to the rim with water and is resting on a table.A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out.What is the speed of the water as it exits the hole?

Accepted Answer

A) 1.08 m/s 
B) 1.99 m/s 
C) 1.72 m/s 
D) 1.65 m/s 
E) 1.33 m/s 
A) 1.08 m/s 
B) 1.99 m/s 
C) 1.72 m/s 
D) 1.65 m/s 
E) 1.33 m/s

Question 11

A cubic block of cherry wood with sides of 10.0 cm has a density of 800 kg/m3.The cubic block floats in water.What is the distance of the top surface of the block from the water level?

Accepted Answer

A) 1.0 cm 
B) 2.0 cm 
C) 3.0 cm 
D) 4.0 cm 
E) 5.0 cm 
A) 1.0 cm 
B) 2.0 cm 
C) 3.0 cm 
D) 4.0 cm 
E) 5.0 cm

Question 12

A large wind turbine is used to extract power a maximum power of 3.38 MW from the wind.What is the minimum diameter of the turbine which will meet this power requirement? Assume a wind speed of 10 m/s and the density of air is 1.2 kg/m3.

Accepted Answer

A) 100 m 
B) 110 m 
C) 130 m 
D) 120 m 
A) 100 m 
B) 110 m 
C) 130 m 
D) 120 m

Question 13

Assuming that one exhales pure carbon dioxide (relative mass number approximately 44)what mass of carbon dioxide does an average person exhale in one year,assuming a breathing rate of 12 breaths per minute,and a volume of 0.50 liters per breath?

Accepted Answer

A) 1.2 * 104 kg 
B) 6.2 * 103 kg 
C) 3.1 * 103 kg 
D) 1.4 * 102 kg 
A) 1.2 * 104 kg 
B) 6.2 * 103 kg 
C) 3.1 * 103 kg 
D) 1.4 * 102 kg

Question 14

An object's true weight is 123 N.When it is completely submerged in water,its apparent weight is 82.0 N.If the density of water is 1000 kg/m3,then what is the density of the object?

Accepted Answer

A) 333 kg/m3 
B) 1333 kg/m3 
C) 3000 kg/m3 
D) 4100 kg/m3 
A) 333 kg/m3 
B) 1333 kg/m3 
C) 3000 kg/m3 
D) 4100 kg/m3

Question 15

A metal block with a mass of 4.0 kg is hanging from a string.The block is lowered into a full beaker of water,causing 1,000 cm3 of water to spill out of the beaker.What is the tension in the string while the block is completely underwater?

Accepted Answer

A) 9.8 N 
B) 29 N 
C) 38 N 
D) 40 N 
E) 49 N 
A) 9.8 N 
B) 29 N 
C) 38 N 
D) 40 N 
E) 49 N

Question 16

The cylindrical container in figure has a radius of 1 m and contains motor oil with viscosity of 0.3 Pa s.Oil is seen to flow out of the 20-cm long,2-cm diameter tube at the bottom of the container.If 5.65 * 10-3 m3 of oil to flow out of the tube in 29 seconds,what is the density of the oil? Assume the change in the level of the oil in the reservoir over the time period is negligible.

Accepted Answer

A) 730 kg m-3 
B) 610 kg m-3 
C) 580 kg m-3 
D) 670 kg m-3 
E) 640 kg m-3 
A) 730 kg m-3 
B) 610 kg m-3 
C) 580 kg m-3 
D) 670 kg m-3 
E) 640 kg m-3

Question 17

Water flows through a 10-cm diameter pipe at a rate of 3 L/s.What is the flow rate if the pipe narrows to 5 cm?

Accepted Answer

A) 3 L/s 
B) 6 L/s 
C) 12 L/s 
D) 8 L/s 
E) 4 L/s 
A) 3 L/s 
B) 6 L/s 
C) 12 L/s 
D) 8 L/s 
E) 4 L/s

Question 18

A syringe with a plunger of diameter 1.6 cm is attached to a hypodermic needle with a diameter of 2.5 mm.What minimum force must be applied to the plunger to inject into a vein in which the pressure is 2265.9 Pa?

Accepted Answer

A) 0.05 N 
B) 0.15 N 
C) 0.30 N 
D) 0.46 N 
E) 0.60 N 
A) 0.05 N 
B) 0.15 N 
C) 0.30 N 
D) 0.46 N 
E) 0.60 N

Question 19

In the figure,water flows in the pipe as shown.What is the diameter of the top section,d?

Accepted Answer

A) 1.5 cm 
B) 4.0 cm 
C) 3.5 cm 
D) 2.5 cm 
E) 3.0 cm 
A) 1.5 cm 
B) 4.0 cm 
C) 3.5 cm 
D) 2.5 cm 
E) 3.0 cm

Question 20

A beach ball of radius 30 cm is pushed under water.What force is required to keep the ball submerged?

Accepted Answer

A) 113 kg 
B) 113 N 
C) 1.1·107 N 
D) 1108 N 
E) 30 kg 
A) 113 kg 
B) 113 N 
C) 1.1·107 N 
D) 1108 N 
E) 30 kg

Exam 13: Solids and Fluids

At what depth in the ocean is the pressure 280.8 kPa? The density of seawater is 1030 kg/m3 and atmospheric pressure is 101.3 kPa.

Two pistons exert forces F1 and F2 on a fluid at points 1 and 2,producing pressures p1 and p2 over areas A1 and A2.If the pistons do not move under the influence of these forces,it then follows necessarily that

Find the minimum diameter of a nylon wire 50 m long that will stretch no more than 25 cm when a load of 90.0 kg is hung on the lower end.Assume that Y nylon = 3.51 * 108 N/m2.

A plastic cup,15.0 cm in height,is filled to the rim with water.A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out.At what distance does the water land from the bottom of the cup?

If 5.2 N of force is required to hold a 24-cm diameter solid ball completely submerged in a vat of water,what is the density of the material out of which the ball is made?

A particular steel cable used in the construction of a suspension bridge experiences a stress which stretches the cable by 0.3% of its manufactured length.Given that Young's modulus for steel is 2.0 * 1011 Pa,find the value of this stress.

A plastic cup,15.0 cm in height,is filled to the rim with water and is resting on a table.A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out.What is the speed of the water as it exits the hole?

A cubic block of cherry wood with sides of 10.0 cm has a density of 800 kg/m3.The cubic block floats in water.What is the distance of the top surface of the block from the water level?

A large wind turbine is used to extract power a maximum power of 3.38 MW from the wind.What is the minimum diameter of the turbine which will meet this power requirement? Assume a wind speed of 10 m/s and the density of air is 1.2 kg/m3.

Assuming that one exhales pure carbon dioxide (relative mass number approximately 44)what mass of carbon dioxide does an average person exhale in one year,assuming a breathing rate of 12 breaths per minute,and a volume of 0.50 liters per breath?

An object's true weight is 123 N.When it is completely submerged in water,its apparent weight is 82.0 N.If the density of water is 1000 kg/m3,then what is the density of the object?

A metal block with a mass of 4.0 kg is hanging from a string.The block is lowered into a full beaker of water,causing 1,000 cm3 of water to spill out of the beaker.What is the tension in the string while the block is completely underwater?

Water flows through a 10-cm diameter pipe at a rate of 3 L/s.What is the flow rate if the pipe narrows to 5 cm?

A syringe with a plunger of diameter 1.6 cm is attached to a hypodermic needle with a diameter of 2.5 mm.What minimum force must be applied to the plunger to inject into a vein in which the pressure is 2265.9 Pa?

In the figure,water flows in the pipe as shown.What is the diameter of the top section,d?

A beach ball of radius 30 cm is pushed under water.What force is required to keep the ball submerged?

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At what depth in the ocean is the pressure 280.8 kPa? The density of seawater is 1030 kg/m³ and atmospheric pressure is 101.3 kPa.

Two pistons exert forces F₁ and F₂ on a fluid at points 1 and 2,producing pressures p₁ and p₂ over areas A₁ and A₂.If the pistons do not move under the influence of these forces,it then follows necessarily that

Find the minimum diameter of a nylon wire 50 m long that will stretch no more than 25 cm when a load of 90.0 kg is hung on the lower end.Assume that Y _nylon = 3.51 * 10⁸ N/m².

A particular steel cable used in the construction of a suspension bridge experiences a stress which stretches the cable by 0.3% of its manufactured length.Given that Young's modulus for steel is 2.0 * 10¹¹ Pa,find the value of this stress.

A cubic block of cherry wood with sides of 10.0 cm has a density of 800 kg/m³.The cubic block floats in water.What is the distance of the top surface of the block from the water level?

A large wind turbine is used to extract power a maximum power of 3.38 MW from the wind.What is the minimum diameter of the turbine which will meet this power requirement? Assume a wind speed of 10 m/s and the density of air is 1.2 kg/m³.

An object's true weight is 123 N.When it is completely submerged in water,its apparent weight is 82.0 N.If the density of water is 1000 kg/m³,then what is the density of the object?

A metal block with a mass of 4.0 kg is hanging from a string.The block is lowered into a full beaker of water,causing 1,000 cm³ of water to spill out of the beaker.What is the tension in the string while the block is completely underwater?