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(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 $ \textbf{F(x)} = k\textbf{x} $, where $ k $ is a constant and $ \textbf{x} = \langle x, y \rangle $?

a) $W=0$

(b) Yes

Vector Calculus

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Missouri State University

Harvey Mudd College

Baylor University

University of Nottingham

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