Question 1

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m.The length and width of the ferry are 15.24 m and 6.10 m, respectfully.Determine the weight of the moving van.

Accepted Answer

The answer of After a moving van drives onto a...

Question 2

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

Accepted Answer

The buoyant force is equal to the weight of the displaced liquid, which depends on the volume of the liquid displaced. The mass and weight of the object and the density of the liquid do not directly affect the buoyant force. The buoyant force is independent of depth, whether the liquid is incompressible or not.

Question 3

11-3
When a block of volume 1.00 × 10S1U1P1-S1S1P0S1U1P13S1S1P0 mS1U1P13S1S1P0 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N.When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B.The density of water is 1.00 × 10S1U1P13S1S1P0 kg/mS1U1P13S1S1P0. 
-Determine the mass of the block.

Accepted Answer

From the information given, we can use the fact that the block is floating to determine its density. When the block is in water, the buoyant force on the block is equal to its weight, so: density of water x volume of submerged block x g = weight of block 1.00 x 10³ kg/m³ x (2/3) x 1.00 × 10^-³ m³ x 9.81 m/s² = (mass of block) x 9.81 m/s² Simplifying this equation, we get: mass of block = (1.00 x 10³ kg/m³) x (2/3) x 1.00 × 10^-³ m³ = 2.02 kg Therefore, the correct answer is B) 2.02 kg.

Question 4

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester, England in 1991.The oil had a height of 12.2 m.Assuming a pressure of 1.013 × 10⁵ Pa, what was the density of the oil used in the barometer?

Accepted Answer

The answer of One of the largest barometers ever built...

Question 5

Three blocks, labeled A, B, and C, are floating in water as shown in the drawing.Blocks A and B have the same mass and volume.Block C has the same volume, but is submerged to a greater depth than the other two blocks.Which one of the following statements concerning this situation is false?

Accepted Answer

The answer of Three blocks, labeled A, B, and C,...

Question 6

A small sculpture made of brass ($\rho$_brass= 8470 kg/m³) is believed to have a secret central cavity.The weight of the sculpture in air is 15.76 N.When it is submerged in water, the weight is 13.86 N.What is the volume of the secret cavity?

Accepted Answer

The answer of A small sculpture made of brass ($\rho$_brass_...

Question 7

A woman is enjoying a tropical drink while lying on a beach.The acceleration due to gravity at her location is 9.78 m/s².What gauge pressure must exist in the woman's mouth if she is drinking through a straw extending 0.075 m above the surface of the drink? Note: Assume the drink has a density of 1020 kg/m³.

Accepted Answer

The pressure at the woman's mouth can be found using the equation P = ρgh + Patm, where ρ is the density of the drink, g is the acceleration due to gravity, h is the height of the straw above the surface of the drink, and Patm is atmospheric pressure (assumed to be 0 in this problem). Plugging in the given values, we get P = (1020 kg/m³)(9.78 m/s²)(0.075 m) = 750 Pa. Therefore, the answer is B.

Question 8

Which one of the following statements concerning a completely enclosed fluid is true?

Accepted Answer

This statement is true according to Pascal's principle, which states that a change in pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

Question 9

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 mS1U1P13S1S1P0.The density of air is 1.3 kg/mS1U1P13S1S1P0.
-What is the average density of the balloon?

Accepted Answer

The answer of 11-4
A balloon is released from a tall...

Question 10

A balloon inflated with helium gas (density = 0.2 kg/m³) has a volume of 6 × 10^-³ m³.If the density of air is 1.3 kg/m³, what is the buoyant force exerted on the balloon?

Accepted Answer

The answer of A balloon inflated with helium gas (density...

Question 11

A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter.If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

Accepted Answer

We can use the formula for hydraulic pressure:

Pressure = Force / Area

The force applied to the smaller piston is 250 N, and its area is:

Area = pi x (0.02 m / 2)^2 = 0.000314 m^2

Using the same formula, we can find the pressure applied to the larger piston:

Pressure = 250 N / 0.000314 m^2 ≈ 795.18 Pa

Now, we can use this pressure to find the maximum force that can be supported by the larger piston. The area of this piston is:

Area = pi x (0.15 m / 2)^2 = 0.017671 m^2

The maximum force is:

Force = Pressure x Area = 795.18 Pa x 0.017671 m^2 ≈ 14.05 N

Finally, we can use the formula for weight to find the maximum mass that can be lifted:

Weight = Force / Gravity

Assuming a gravitational acceleration of 9.81 m/s^2, we get:

Mass = Weight / Gravity = 14.05 N / 9.81 m/s^2 ≈ 1.43 kg

Therefore, the hydraulic jack can lift approximately 1400 kg. The closest answer choice is (C).

Question 12

11-3
When a block of volume 1.00 × 10S1U1P1-S1S1P0S1U1P13S1S1P0 mS1U1P13S1S1P0 is hung from a spring scale as shown in Figure A, the scale reads 10.0 N.When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B.The density of water is 1.00 × 10S1U1P13S1S1P0 kg/mS1U1P13S1S1P0. 
-Determine the density of the unknown liquid.

Accepted Answer

The answer of 11-3
When a block of volume 1.00 ×...

Question 13

A barometer is taken from the base to the top of a 279-m tower.Assuming the density of air is 1.29 kg/m³, what is the measured change in pressure?

Accepted Answer

The answer of A barometer is taken from the base...

Question 14

In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area.If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

Accepted Answer

The force exerted by the compressed air on the piston is given by:

F = PA

where P is the gauge pressure and A is the cross-sectional area of the piston. Therefore:

F = (4.0 × 10^5 Pa)(π(0.17 m)^2) = 3642 N

The maximum mass that can be raised is equal to the weight of the object, which is equal to the force exerted by the piston. Therefore:

m = F/g = 3642 N/9.81 m/s^2 = 371 kg

Therefore, the maximum mass that can be raised using this piston is 3700 kg.

Question 15

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m³.Determine the density of the object.

Accepted Answer

We can use the principle of buoyancy to solve this problem.

When the object is submerged in fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. Therefore:

Buoyant force = Weight of fluid displaced
13 N = (volume of object submerged) x (density of mineral spirits) x (acceleration due to gravity)

We can rearrange this equation to solve for the volume of the object submerged:

volume of object submerged = 13 N / (density of mineral spirits x acceleration due to gravity)
volume of object submerged = 13 N / (788 kg/m^3 x 9.81 m/s^2)
volume of object submerged = 0.00167 m^3

Now, we can use the weight of the object in air and its volume to calculate its density. The weight of the object in air is equal to its mass times the acceleration due to gravity:

Weight of object in air = mass x acceleration due to gravity
15 N = (mass of object) x 9.81 m/s^2

We can solve for the mass of the object:

mass of object = 15 N / 9.81 m/s^2
mass of object = 1.53 kg

Finally, we can calculate the density of the object:

density of object = mass of object / volume of object
density of object = 1.53 kg / 0.00167 m^3
density of object = 916.17 kg/m^3

Therefore, the density of the object is approximately 9.16 x 10^2 kg/m^3, which is closest to answer choice D (5.9 x 10^2 kg/m^3).

Question 16

11-4
A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 mS1U1P13S1S1P0.The density of air is 1.3 kg/mS1U1P13S1S1P0.
-Will the balloon rise, fall, or remain stationary; and why?

Accepted Answer

The buoyant force acting on an object in a fluid is equal to the weight of the fluid displaced by the object. Since the balloon's volume is greater than its mass, its average density is less than that of air. Therefore, it will displace air with a weight greater than its own weight, leading to an upward force greater than its weight, causing it to rise.

Question 17

A 2-kg block displaces 10 kg of water when it is held fully immersed.The object is then tied down as shown in the figure; and it displaces 5 kg of water.What is the tension in the string?

Accepted Answer

The answer of A 2-kg block displaces 10 kg of...

Question 18

Complete the following sentence: The operation of a hydraulic jack is an application of

Accepted Answer

Pascal's principle states that pressure applied to a confined fluid is transmitted equally in all directions, and this principle is fundamental to the operation of hydraulic systems such as a hydraulic jack.

Question 19

A u-shaped tube is connected to a flexible tube that has a membrane-covered funnel on the opposite end as shown in the drawing.Justin finds that no matter which way he orients to membrane, the height of the liquid in the u-shaped tube does not change.Which of the following choices best describes this behavior?

Accepted Answer

The answer of A u-shaped tube is connected to a...

Question 20

The density of ice is 0.92 g/cm³; and the density of seawater is 1.03 g/cm³.A large iceberg floats in Arctic waters.What fraction of the volume of the iceberg is exposed?

Accepted Answer

When an object floats, it displaces its own weight of fluid. Therefore, the fraction of the volume of the iceberg that is exposed is equal to the ratio of the density of ice to the density of seawater: 
(0.92 g/cm³) / (1.03 g/cm³) = 0.8932 ≈ 89% 
Thus, approximately 89% of the volume of the iceberg is exposed above the sea level.

Quiz 11: Fluids

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m.The length and width of the ferry are 15.24 m and 6.10 m, respectfully.Determine the weight of the moving van.

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester, England in 1991.The oil had a height of 12.2 m.Assuming a pressure of 1.013 × 10⁵ Pa, what was the density of the oil used in the barometer?

Three blocks, labeled A, B, and C, are floating in water as shown in the drawing.Blocks A and B have the same mass and volume.Block C has the same volume, but is submerged to a greater depth than the other two blocks.Which one of the following statements concerning this situation is false?

A small sculpture made of brass ( $\rho$ _brass= 8470 kg/m³) is believed to have a secret central cavity.The weight of the sculpture in air is 15.76 N.When it is submerged in water, the weight is 13.86 N.What is the volume of the secret cavity?

Which one of the following statements concerning a completely enclosed fluid is true?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -What is the average density of the balloon?

A balloon inflated with helium gas (density = 0.2 kg/m³) has a volume of 6 × 10^-³ m³.If the density of air is 1.3 kg/m³, what is the buoyant force exerted on the balloon?

A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter.If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

A barometer is taken from the base to the top of a 279-m tower.Assuming the density of air is 1.29 kg/m³, what is the measured change in pressure?

In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area.If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m³.Determine the density of the object.

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -Will the balloon rise, fall, or remain stationary; and why?

A 2-kg block displaces 10 kg of water when it is held fully immersed.The object is then tied down as shown in the figure; and it displaces 5 kg of water.What is the tension in the string?

Complete the following sentence: The operation of a hydraulic jack is an application of

The density of ice is 0.92 g/cm³; and the density of seawater is 1.03 g/cm³.A large iceberg floats in Arctic waters.What fraction of the volume of the iceberg is exposed?

Quiz 11: Fluids

After a moving van drives onto a river ferry, the ferry sinks 0.0367 m.The length and width of the ferry are 15.24 m and 6.10 m, respectfully.Determine the weight of the moving van.

Which one of the following statements concerning the buoyant force on an object submerged in a liquid is true?

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester, England in 1991.The oil had a height of 12.2 m.Assuming a pressure of 1.013 × 105 Pa, what was the density of the oil used in the barometer?

Three blocks, labeled A, B, and C, are floating in water as shown in the drawing.Blocks A and B have the same mass and volume.Block C has the same volume, but is submerged to a greater depth than the other two blocks.Which one of the following statements concerning this situation is false?

A small sculpture made of brass ( ρ\rhoρ brass = 8470 kg/m3) is believed to have a secret central cavity.The weight of the sculpture in air is 15.76 N.When it is submerged in water, the weight is 13.86 N.What is the volume of the secret cavity?

Which one of the following statements concerning a completely enclosed fluid is true?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m3.The density of air is 1.3 kg/m3. -What is the average density of the balloon?

A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 × 10-3 m3.If the density of air is 1.3 kg/m3, what is the buoyant force exerted on the balloon?

A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter.If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons.

A barometer is taken from the base to the top of a 279-m tower.Assuming the density of air is 1.29 kg/m3, what is the measured change in pressure?

In a car lift, compressed air with a gauge pressure of 4.0 × 105 Pa is used to raise a piston with a circular cross-sectional area.If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m3.Determine the density of the object.

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m3.The density of air is 1.3 kg/m3. -Will the balloon rise, fall, or remain stationary; and why?

A 2-kg block displaces 10 kg of water when it is held fully immersed.The object is then tied down as shown in the figure; and it displaces 5 kg of water.What is the tension in the string?

Complete the following sentence: The operation of a hydraulic jack is an application of

The density of ice is 0.92 g/cm3; and the density of seawater is 1.03 g/cm3.A large iceberg floats in Arctic waters.What fraction of the volume of the iceberg is exposed?

One of the largest barometers ever built was an oil-filled barometer constructed in Leicester, England in 1991.The oil had a height of 12.2 m.Assuming a pressure of 1.013 × 10⁵ Pa, what was the density of the oil used in the barometer?

A small sculpture made of brass ( $\rho$ _brass= 8470 kg/m³) is believed to have a secret central cavity.The weight of the sculpture in air is 15.76 N.When it is submerged in water, the weight is 13.86 N.What is the volume of the secret cavity?

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -What is the average density of the balloon?

A balloon inflated with helium gas (density = 0.2 kg/m³) has a volume of 6 × 10^-³ m³.If the density of air is 1.3 kg/m³, what is the buoyant force exerted on the balloon?

A barometer is taken from the base to the top of a 279-m tower.Assuming the density of air is 1.29 kg/m³, what is the measured change in pressure?

In a car lift, compressed air with a gauge pressure of 4.0 × 10⁵ Pa is used to raise a piston with a circular cross-sectional area.If the radius of the piston is 0.17 m, what is the maximum mass that can be raised using this piston?

An object weighs 15 N in air and 13 N when submerged in mineral spirits, which has a density of 788 kg/m³.Determine the density of the object.

11-4 A balloon is released from a tall building.The total mass of the balloon including the enclosed gas is 2.0 kg.Its volume is 5.0 m³.The density of air is 1.3 kg/m³. -Will the balloon rise, fall, or remain stationary; and why?

The density of ice is 0.92 g/cm³; and the density of seawater is 1.03 g/cm³.A large iceberg floats in Arctic waters.What fraction of the volume of the iceberg is exposed?