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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 59
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 59

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# Solved: Gravitational potential The potential function for

ISBN: 9780321947345 167

## Solution for problem 59 Chapter 14.5

Calculus: Early Transcendentals | 2nd Edition

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Problem 59

Gravitational potential The potential function for the gravitational force field due to a mass M at the origin acting on a mass m is w = GMm> _ r _, where r = 8x, y, z9 is the position vector of the mass m and G is the gravitational constant. a. Compute the gravitational force field F = -_w. b. Show that the field is irrotational; that is, _ * F = 0.

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