Question 1

A stonecutter's chisel has an edge area of 0.7 cm2. If the chisel is struck with a force of 42 N, what is the pressure exerted on the stone?

Accepted Answer

A) 600 N/m2 
B) 30 000 N/m2 
C) 300 000 N/m2 
D) 600 000 N/m2 
E) 6000 N/m2 
A) 600 N/m2 
B) 30 000 N/m2 
C) 300 000 N/m2 
D) 600 000 N/m2 
E) 6000 N/m2 D

Question 2

Imagine that you work for a chemical engineering firm, and you have just taken delivery of a very narrow glass pipe. You need to find out whether the inside radius of this pipe matches specifications. To determine this, you put one end of the pipe in a beaker of distilled water, and you observe that capillary action pulls the water 3.0 cm up the pipe. If you assume that the angle of contact is zero, the density of water 1000 km m-3 and the surface tension of water 0.072 N/m, then what is the approximate inside radius of the pipe?

Accepted Answer

A) 0.05 mm. 
B) 0.1 mm. 
C) 0.5 mm. 
D) 1 mm. 
E) 5 mm. 
A) 0.05 mm. 
B) 0.1 mm. 
C) 0.5 mm. 
D) 1 mm. 
E) 5 mm. C

Question 3

A wood block is placed on top of the ice in a large bowl half full of ice. The bowl is then filled to the brim with water, with the wood block riding on top of the ice. As the ice melts:

Accepted Answer

A) the density of the water decreases. 
B) the water level falls below the rim. 
C) the water level rises and water spills out of the bowl. 
D) the water level does not change. 
E) the wood block descends, causing water to spill out of the bowl. 
A) the density of the water decreases. 
B) the water level falls below the rim. 
C) the water level rises and water spills out of the bowl. 
D) the water level does not change. 
E) the wood block descends, causing water to spill out of the bowl. D

Question 4

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 *10-4 m3 of water when fully submerged. What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?

Accepted Answer

A) 0.69 
B) 0.81 
C) 0.85 
D) 1.00 
E) 1.46 
A) 0.69 
B) 0.81 
C) 0.85 
D) 1.00 
E) 1.46

Question 5

A large water storage container is filled to a depth of 3.0 m. The volume above the water is filled with air. In order to pump the water from the container, the air pressure in the container is increased by 3.0 $\times$ 105 N/m2. What happens to the pressure in the water at a depth of 1.0 m when the air pressure is increased?

Accepted Answer

A) Nothing, it is still at a depth of 1.0 m and the pressure in the water depends only on the depth. 
B) It increases by 1.0 $\times$ 105 N/m2, since it is at 1/3 the depth of the water. 
C) It increases by 2.0 $\times$ 105 N/m2, since it is at 2/3 the depth from the bottom of the container. 
D) It increases by 3.0 $\times$ 105 N/m2. 
E) It increases by 3.0 $\times$ 105 N/m2 + 9.8
$\times$ 103 N/m2 since it is 1.0 m deep in the water. 
A) Nothing, it is still at a depth of 1.0 m and the pressure in the water depends only on the depth. 
B) It increases by 1.0 $\times$ 105 N/m2, since it is at 1/3 the depth of the water. 
C) It increases by 2.0 $\times$ 105 N/m2, since it is at 2/3 the depth from the bottom of the container. 
D) It increases by 3.0 $\times$ 105 N/m2. 
E) It increases by 3.0 $\times$ 105 N/m2 + 9.8
$\times$ 103 N/m2 since it is 1.0 m deep in the water.

Question 6

A police crime lab is trying to determine whether someone was murdered or died as a result of an accident. He was struck in the temple by a 4.20 kg sculpture that is alleged to have fallen off a bookcase. The sculpture presumably fell a distance of 1.43 m and the corner that struck him had an area of 0.250 cm2. If the time for the sculpture to stop was 1.00 ms, the pressure on his temple, in N/m2, was

Accepted Answer

A) 8.89 * 104. 
B) 1.65 * 105. 
C) 1.65 *106. 
D) 8.89 * 108. 
E) 1.65 * 109. 
A) 8.89 * 104. 
B) 1.65 * 105. 
C) 1.65 *106. 
D) 8.89 * 108. 
E) 1.65 * 109.

Question 7

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 * 10-4 m3 of water when fully submerged. What volume of mercury ($\rho$Hg = 13.6 *103 kg/m3) must be added to the empty bottle so that it will just submerge?

Accepted Answer

A) 3.75 cm3 
B) 12.0 cm3 
C) 101 cm3 
D) 147 cm3 
E) 237 cm3 
A) 3.75 cm3 
B) 12.0 cm3 
C) 101 cm3 
D) 147 cm3 
E) 237 cm3

Question 8

A vertical pipe, closed at the bottom end, is filled to a depth of 1.00 m with water and then an amount of oil of density $0.800 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ is added to make the total depth 2.00 m. The oil and water don't mix with the oil floating on top of the water. What is the increase in pressure at the bottom end of the pipe as a result of adding the fluids?

Accepted Answer

The answer of A vertical pipe, closed at the bottom...

Question 9

A blimp is filled with 200 m3 of helium. How much mass can the balloon lift? The density of helium is one-seventh that of air, and the density of air is 1/800 that of water. Consider the mass of the balloon to be negligible.

Accepted Answer

A) 115 kg 
B) 214 kg 
C) 315 kg 
D) 415 kg 
E) 37 kg 
A) 115 kg 
B) 214 kg 
C) 315 kg 
D) 415 kg 
E) 37 kg

Question 10

People can snorkel down to a depth of roughly one metre. This means that the additional pressure on the air in their lungs is roughly:

Accepted Answer

A) 9 800 N. 
B) 9 800 Pa. 
C) 9 800 ATM. 
D) 19 600 N. 
E) 19 600 N/m2. 
A) 9 800 N. 
B) 9 800 Pa. 
C) 9 800 ATM. 
D) 19 600 N. 
E) 19 600 N/m2.

Question 11

An iron block of density$\rho$Fe and of volume l3 is immersed in a fluid of density$\rho$fluid. The block hangs from a scale which reads W as the weight. The top of the block is a height h below the surface of the fluid. The correct equation for the reading of the scale is:

Accepted Answer

A) W = ($\rho$Fe -$\rho$fluid)ghl2. 
B) W = ($\rho$fluid - $\rho$Fe)gl3. 
C) W = ($\rho$Fe- $\rho$fluid)gl3. 
D) W = ($\rho$Fe + $\rho$fluid)ghl2. 
E) W = ($\rho$Fe + $\rho$fluid)gl3. 
A) W = ($\rho$Fe -$\rho$fluid)ghl2. 
B) W = ($\rho$fluid - $\rho$Fe)gl3. 
C) W = ($\rho$Fe- $\rho$fluid)gl3. 
D) W = ($\rho$Fe + $\rho$fluid)ghl2. 
E) W = ($\rho$Fe + $\rho$fluid)gl3.

Question 12

When water freezes, it expands about 9%. What would be the pressure increase inside your automobile engine block if the water in there froze? The bulk modulus of ice is 2.0 *109 N/m2, and 1 ATM = 1.01 *0105 N/m2.

Accepted Answer

A) 18 ATM 
B) 360 ATM 
C) 1100 ATM 
D) 1800 ATM 
E) 600 ATM 
A) 18 ATM 
B) 360 ATM 
C) 1100 ATM 
D) 1800 ATM 
E) 600 ATM

Question 13

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added. As the ice starts to melt:

Accepted Answer

A) the water level in the pitcher falls. 
B) the water level in the pitcher remains the same. 
C) water starts to flow out the spout of the pitcher. 
D) the pressure on the bottom of the pitcher decreases. 
E) the pressure on the bottom of the pitcher increases. 
A) the water level in the pitcher falls. 
B) the water level in the pitcher remains the same. 
C) water starts to flow out the spout of the pitcher. 
D) the pressure on the bottom of the pitcher decreases. 
E) the pressure on the bottom of the pitcher increases.

Question 14

Some species of whales can dive to depths of one kilometre. What is the total pressure they experience at this depth? ($\rho$sea = 1 020 kg/m3 and 1.01 *105 N/m2 = 1 ATM.)

Accepted Answer

A) 9.00 ATM 
B) 90.0 ATM 
C) 100 ATM 
D) 111 ATM 
E) 130 ATM 
A) 9.00 ATM 
B) 90.0 ATM 
C) 100 ATM 
D) 111 ATM 
E) 130 ATM

Question 15

A boat is floating in a small pond. The boat then sinks resting on the bottom, but the pond is so shallow that part of the boat is not submerged. What happens to the level of the pond?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It stays the same. 
D) In some cases it would decrease, in others it would stay the same. 
E) In some cases it would increase, in others it would stay the same. 
A) It increases. 
B) It decreases. 
C) It stays the same. 
D) In some cases it would decrease, in others it would stay the same. 
E) In some cases it would increase, in others it would stay the same.

Question 16

Two identical fish, both at sea level, float in two identical aquariums with identical quantities of water. Fish A is in Alaska, so it weighs more than fish B at the equator, since g is larger at sea level in Alaska. Which statement is correct?

Accepted Answer

A) A comparison is impossible unless they are both floating at the same level. 
B) Fish A displaces a greater quantity of water than fish B. 
C) Fish B displaces a greater quantity of water than fish A. 
D) They both displace the same quantity of water. 
E) Fish A has a smaller acceleration than Fish B when equal horizontal forces are applied to each, because Fish A weighs more. 
A) A comparison is impossible unless they are both floating at the same level. 
B) Fish A displaces a greater quantity of water than fish B. 
C) Fish B displaces a greater quantity of water than fish A. 
D) They both displace the same quantity of water. 
E) Fish A has a smaller acceleration than Fish B when equal horizontal forces are applied to each, because Fish A weighs more.

Question 17

The water level in identical bowls, A and B, is exactly the same. A contains only water; B contains floating ice as well as water. When we weigh the bowls, we find that:

Accepted Answer

A) WA  WB. 
D) WB > WA if the volume of the ice cubes is greater than $\frac{1}{9}$ the volume of the water. 
E) WB > WA if the volume of the ice cubes is greater than 9 times the volume of the water. 
A) WA  WB. 
D) WB > WA if the volume of the ice cubes is greater than $\frac{1}{9}$ the volume of the water. 
E) WB > WA if the volume of the ice cubes is greater than 9 times the volume of the water.

Question 18

Refer to Exhibit 13-1 below.Exhibit 13-1 A dictator has built a bunker for his use in emergencies. Its dimensions are shown below. When it floods to ground level during a tropical storm, air is trapped above the dashed line in the bunker.   The gauge pressure at point A, in Pa, is:

Accepted Answer

A) 3.92 * 105. 
B) 4.90 *105. 
C) 5.39 * 105. 
D) 5.88 * 105. 
E) 6.89 * 105. 
A) 3.92 * 105. 
B) 4.90 *105. 
C) 5.39 * 105. 
D) 5.88 * 105. 
E) 6.89 * 105.

Question 19

A thin rectangular piece of wood floats in water. You slowly pour oil with a density equal to that of the wood on the surface of the water until the height of the oil above the water is twice the height of the piece of wood. Which statement is correct?

Accepted Answer

A) The wood floats on top of the oil, so it sticks up in the air. 
B) The wood does not change its position 
C) The wood sinks below the surface of the water. 
D) The wood is half in the water and half in the oil. 
E) The wood floats in the oil just above the water. 
A) The wood floats on top of the oil, so it sticks up in the air. 
B) The wood does not change its position 
C) The wood sinks below the surface of the water. 
D) The wood is half in the water and half in the oil. 
E) The wood floats in the oil just above the water.

Question 20

A supertanker filled with oil has a total mass of 6.1 * 108 kg. If the dimensions of the ship are those of a rectangular box 300 m long, 80 m wide, and 40 m high, determine how far the bottom of the ship is below sea level. ($\rho$sea = 1 020 kg/m3.)

Accepted Answer

A) 10 m 
B) 15 m 
C) 20 m 
D) 25 m 
E) 30 m 
A) 10 m 
B) 15 m 
C) 20 m 
D) 25 m 
E) 30 m

A stonecutter's chisel has an edge area of 0.7 cm². If the chisel is struck with a force of 42 N, what is the pressure exerted on the stone?

A wood block is placed on top of the ice in a large bowl half full of ice. The bowl is then filled to the brim with water, with the wood block riding on top of the ice. As the ice melts:

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 *10-4 m3 of water when fully submerged. What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 * 10-4 m3 of water when fully submerged. What volume of mercury ( $\rho$ Hg = 13.6 *103 kg/m3) must be added to the empty bottle so that it will just submerge?

A blimp is filled with 200 m3 of helium. How much mass can the balloon lift? The density of helium is one-seventh that of air, and the density of air is 1/800 that of water. Consider the mass of the balloon to be negligible.

People can snorkel down to a depth of roughly one metre. This means that the additional pressure on the air in their lungs is roughly:

An iron block of density $\rho$ Fe and of volume l3 is immersed in a fluid of density $\rho$ fluid. The block hangs from a scale which reads W as the weight. The top of the block is a height h below the surface of the fluid. The correct equation for the reading of the scale is:

When water freezes, it expands about 9%. What would be the pressure increase inside your automobile engine block if the water in there froze? The bulk modulus of ice is 2.0 109 N/m², and 1 ATM = 1.01 0105 N/m².

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added. As the ice starts to melt:

Some species of whales can dive to depths of one kilometre. What is the total pressure they experience at this depth? ( $\rho$ sea = 1 020 kg/m3 and 1.01 *105 N/m² = 1 ATM.)

A boat is floating in a small pond. The boat then sinks resting on the bottom, but the pond is so shallow that part of the boat is not submerged. What happens to the level of the pond?

Two identical fish, both at sea level, float in two identical aquariums with identical quantities of water. Fish A is in Alaska, so it weighs more than fish B at the equator, since g is larger at sea level in Alaska. Which statement is correct?

The water level in identical bowls, A and B, is exactly the same. A contains only water; B contains floating ice as well as water. When we weigh the bowls, we find that:

Refer to Exhibit 13-1 below.Exhibit 13-1 A dictator has built a bunker for his use in emergencies. Its dimensions are shown below. When it floods to ground level during a tropical storm, air is trapped above the dashed line in the bunker. The gauge pressure at point A, in Pa, is:

A thin rectangular piece of wood floats in water. You slowly pour oil with a density equal to that of the wood on the surface of the water until the height of the oil above the water is twice the height of the piece of wood. Which statement is correct?

A supertanker filled with oil has a total mass of 6.1 * 108 kg. If the dimensions of the ship are those of a rectangular box 300 m long, 80 m wide, and 40 m high, determine how far the bottom of the ship is below sea level. ( $\rho$ sea = 1 020 kg/m3.)

Physics and Measurement

Motion in One Dimension

Motion in Two Dimensions

Forces and Newtons Laws

Further Applications of Newtons Laws

Work, Force and Energy

Conservation of Energy

Linear Momentum and Collisions

Rotational Motion

Energy and Momentum in Rotating Systems

Gravity

Special Relativity

Fluid Dynamics

Solids

Oscillatory Motion

Wave Motion

Superposition and Interference

Heat and Temperature

Energy Transfer Processes and Thermodynamics

The Kinetic Theory of Gases

The Second Law of Thermodynamics, Heat Engines and Entropy

Filters

Exam 13: Fluid Statics

A stonecutter's chisel has an edge area of 0.7 cm2. If the chisel is struck with a force of 42 N, what is the pressure exerted on the stone?

A wood block is placed on top of the ice in a large bowl half full of ice. The bowl is then filled to the brim with water, with the wood block riding on top of the ice. As the ice melts:

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 *10-4 m3 of water when fully submerged. What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 * 10-4 m3 of water when fully submerged. What volume of mercury ( ρ\rhoρ Hg = 13.6 *103 kg/m3) must be added to the empty bottle so that it will just submerge?

A blimp is filled with 200 m3 of helium. How much mass can the balloon lift? The density of helium is one-seventh that of air, and the density of air is 1/800 that of water. Consider the mass of the balloon to be negligible.

People can snorkel down to a depth of roughly one metre. This means that the additional pressure on the air in their lungs is roughly:

An iron block of density ρ\rhoρ Fe and of volume l3 is immersed in a fluid of density ρ\rhoρ fluid. The block hangs from a scale which reads W as the weight. The top of the block is a height h below the surface of the fluid. The correct equation for the reading of the scale is:

When water freezes, it expands about 9%. What would be the pressure increase inside your automobile engine block if the water in there froze? The bulk modulus of ice is 2.0 *109 N/m2, and 1 ATM = 1.01 *0105 N/m2.

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added. As the ice starts to melt:

Some species of whales can dive to depths of one kilometre. What is the total pressure they experience at this depth? ( ρ\rhoρ sea = 1 020 kg/m3 and 1.01 *105 N/m2 = 1 ATM.)

A boat is floating in a small pond. The boat then sinks resting on the bottom, but the pond is so shallow that part of the boat is not submerged. What happens to the level of the pond?

Two identical fish, both at sea level, float in two identical aquariums with identical quantities of water. Fish A is in Alaska, so it weighs more than fish B at the equator, since g is larger at sea level in Alaska. Which statement is correct?

The water level in identical bowls, A and B, is exactly the same. A contains only water; B contains floating ice as well as water. When we weigh the bowls, we find that:

Refer to Exhibit 13-1 below.Exhibit 13-1 A dictator has built a bunker for his use in emergencies. Its dimensions are shown below. When it floods to ground level during a tropical storm, air is trapped above the dashed line in the bunker. The gauge pressure at point A, in Pa, is:

A thin rectangular piece of wood floats in water. You slowly pour oil with a density equal to that of the wood on the surface of the water until the height of the oil above the water is twice the height of the piece of wood. Which statement is correct?

A supertanker filled with oil has a total mass of 6.1 * 108 kg. If the dimensions of the ship are those of a rectangular box 300 m long, 80 m wide, and 40 m high, determine how far the bottom of the ship is below sea level. ( ρ\rhoρ sea = 1 020 kg/m3.)

Physics and Measurement

Motion in One Dimension

Motion in Two Dimensions

Forces and Newtons Laws

Further Applications of Newtons Laws

Work, Force and Energy

Conservation of Energy

Linear Momentum and Collisions

Rotational Motion

Energy and Momentum in Rotating Systems

Gravity

Special Relativity

Fluid Dynamics

Solids

Oscillatory Motion

Wave Motion

Superposition and Interference

Heat and Temperature

Energy Transfer Processes and Thermodynamics

The Kinetic Theory of Gases

The Second Law of Thermodynamics, Heat Engines and Entropy

Filters

A stonecutter's chisel has an edge area of 0.7 cm². If the chisel is struck with a force of 42 N, what is the pressure exerted on the stone?

An empty spice bottle has an inner volume of 1.31 * 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 * 10-4 m3 of water when fully submerged. What volume of mercury ( $\rho$ Hg = 13.6 *103 kg/m3) must be added to the empty bottle so that it will just submerge?

An iron block of density $\rho$ Fe and of volume l3 is immersed in a fluid of density $\rho$ fluid. The block hangs from a scale which reads W as the weight. The top of the block is a height h below the surface of the fluid. The correct equation for the reading of the scale is:

When water freezes, it expands about 9%. What would be the pressure increase inside your automobile engine block if the water in there froze? The bulk modulus of ice is 2.0 109 N/m², and 1 ATM = 1.01 0105 N/m².

Some species of whales can dive to depths of one kilometre. What is the total pressure they experience at this depth? ( $\rho$ sea = 1 020 kg/m3 and 1.01 *105 N/m² = 1 ATM.)

A supertanker filled with oil has a total mass of 6.1 * 108 kg. If the dimensions of the ship are those of a rectangular box 300 m long, 80 m wide, and 40 m high, determine how far the bottom of the ship is below sea level. ( $\rho$ sea = 1 020 kg/m3.)