×
Get Full Access to University Physics - 13 Edition - Chapter 6 - Problem 1dq
Get Full Access to University Physics - 13 Edition - Chapter 6 - Problem 1dq

×

# The sign of many physical quantities depends on the choice ISBN: 9780321675460 31

## Solution for problem 1DQ Chapter 6

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants University Physics | 13th Edition

4 5 1 250 Reviews
26
3
Problem 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.

Step-by-Step Solution:
Step 1 of 3

Solution 1DQ Introduction In this problem we have to see if work depends on the choice of coordinate system. Solution The work is given by W = F · d Where F is the force and d is the displacement. Now, as we know from vector algebra, the dot product can be written as F · d = |F||d|cos Where theta is the angle between the applied force and the displacement. So from the equation we can see that work depends on the angle between the force and the displacement. If the angle lies between 0rad to /2 rad then the work done is positive and if the angle lies between /2 rad and rad then the angle work done will be negative. If we change the coordinate system, the sign of both force and displacement will change and hence the sign of the product will remain unchanged. Hence it is clear that the work does not depends on the choice of coordinate system.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321675460

The answer to “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.” is broken down into a number of easy to follow steps, and 56 words. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 1DQ from 6 chapter was answered, more than 987 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1DQ from chapter: 6 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: Positive, coordinates, Choice, Negative, work. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

Unlock Textbook Solution