How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Three point-like charges in the attached image are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 38.0 cm, and the point (C) is located half way between q1 and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = −2.80 µC, q2 = −3.40 µC, and q3 = −4.50 µC. Thank you.

Three point-like charges are placed as shown in the attach image, where r1 = r2 = 44.0 cm. Find the magnitude of the electric force exerted on the charge q3. Let q1 = -1.90 uC, q2 = -2.60 uC, and q3 = +3.60 uC. Thank you.

The drawing attached shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.90 m², while Surface (2) has an area of 3.90 m². The electric field in magnitude of 215 N/C. Find the magnitude of the electric flux through surface (1 and 2 combined) if the angle theta made between the electric field with surface (2) is 30.0 degrees. Thank you.

Answer 2

Question

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Answer 6

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.

Answer 7

Chapter 11, Problem 1QAP

To determine

How much thicker the dam should be if it needs to hold back a lake twice as long as the present lake, but with the same depth.

Answer 8

Expert Solution & Answer

Answer to Problem 1QAP

The dam which needs to hold back a lake which is twice as long as the present lake, is of the same thickness as before.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Introduction:

All fluids exert a pressure on their containers. This pressure varies with the depth of the liquid in the container.

A dam built to hold the water in a lake, exerts pressure on the walls of the dam. The thickness of the dam is decided on the basis of the pressure it would experience at a particular depth.

Pressure P exerted by a liquid at a depth h is given by the expression,

P=hρg

Here, ρis the density of water and g is the acceleration of free fall.

Therefore, it can be seen that the pressure at a depth is proportional to the height of the liquid column above the point.

The length of the water body causes no change in the pressure exerted.

Hence, even if the lake were to be twice as long, a dam of the same thickness as before, can hold the water inside the dam.

Conclusion:

Since the pressure exerted by a liquid column at a point is dependent only on the depth of the point, density of the liquid and the acceleration of free fall at the place, no change in the thickness of the dam is required to hold the water in a lake which is twice as long as the previous, if the depth remains the same.