(a) Show that a constant force field does zero work on a particle that moves once uniformly around the circle x 2 y 2 1 (b) Is this also true for a force field F(x) kx, where k is a constant and x (x, y)

Question: (a) Show that a constant force field does zero work on a particle that moves once uniformly around the circle x 2 + y 2

(a) Show that a constant force field does zero work on a particle that moves once uniformly around the circle x² + y² = 1.
(b) Is this also true for a force field F(x) = kx, where k is a constant and x = (x, y)?

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