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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Race car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? Please answer parts a-B. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places. DONT FORGET TO DRAW VECTORS! ONLY USE BASIC FORMULAS TAUGHT IN PHYSICS. distance = speed * time.

Race car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? c) If the driver’s average rate of acceleration is -9.5 m/s2 as he slows down, how long does it take him to come to a stop (use information about his speed of 28.9 m/s but do NOT use his reaction and movement time in this computation)? Please answer parts a-c. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places unless stated otherwise.…

How is it that part a is connected to part b? I can't seem to solve either part and don't see the connection between the two.

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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