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The sign of many physical quantities depends on the choice

Chapter 3, Problem 1DQ

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QUESTION:

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:

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 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|co

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