The sign of many physical quantities depends on the choice of coordinates. For example, a y for free-fall motion can be negative or positive, depending on whether we choose upward or downward as positive. Is the same true of work? In other words, can we make positive work negative by a different choice of coordinates? Explain.

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Answer 1

Textbook Question

Chapter 6, Problem 6.1DQ

The sign of many physical quantities depends on the choice of coordinates. For example, a_y for free-fall motion can be negative or positive, depending on whether we choose upward or downward as positive. Is the same true of work? In other words, can we make positive work negative by a different choice of coordinates? Explain.

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

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Answer 2

Textbook Question

Chapter 6, Problem 6.1DQ

The sign of many physical quantities depends on the choice of coordinates. For example, a_y for free-fall motion can be negative or positive, depending on whether we choose upward or downward as positive. Is the same true of work? In other words, can we make positive work negative by a different choice of coordinates? Explain.

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

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Answer 3

Textbook Question

Chapter 6, Problem 6.1DQ

The sign of many physical quantities depends on the choice of coordinates. For example, a_y for free-fall motion can be negative or positive, depending on whether we choose upward or downward as positive. Is the same true of work? In other words, can we make positive work negative by a different choice of coordinates? Explain.

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

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Answer 4

Textbook Question

Chapter 6, Problem 6.1DQ

The sign of many physical quantities depends on the choice of coordinates. For example, a_y for free-fall motion can be negative or positive, depending on whether we choose upward or downward as positive. Is the same true of work? In other words, can we make positive work negative by a different choice of coordinates? Explain.

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

Answer 8

Expert Solution & Answer

To determine

Validate the effect of direction on physical quantities like work.

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Validate the effect of direction on physical quantities like work.

Answer 12

Answer to Problem 6.1DQ

No, work is positive or negative does not depend on coordinates that has been chosen.

Answer 13

Explanation of Solution

Work is the displacement of any object due to the application of load. It is a non vector quantity because its value does not vary with the change in direction.

The magnitude of work can be either positive or negative that depends upon the direction of applied force and displacement.

If the directions of the applied force and displacement caused by it are same, work done will be positive (+ve).

If the directions of the applied force and displacement caused by it are opposite, work done will be negative (−ve).

Conclusion: No, work is positive or negative does not depend on coordinates that has been chosen.

Answer 14

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