Solved: The sign of many physical quantities depends on

Chapter 6, Problem 1DQ

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QUESTION:

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.

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QUESTION:

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.

ANSWER:

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

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