Inverse force fields Consider the radial field F = r _ r
Chapter 14, Problem 65(choose chapter or problem)
Inverse force fields Consider the radial field F = r _ r _p = 8x, y, z9 _ r _p , where p 7 1 (the inverse square law corresponds to p = 3). Let C be the line from 11, 1, 12 to 1a, a, a2, where a 7 1, given by r1t2 = 8t, t, t9, for 1 t a. a. Find the work done in moving an object along C with p = 2. b. If aS _ in part (a), is the work finite? c. Find the work done in moving an object moving along C with p = 4. d. If aS _ in part (c), is the work finite? e. Find the work done in moving an object moving along C for any p 7 1. f. If aS _ in part (e), for what values of p is the work finite?
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