A force field is

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Vector calculus and field geometry · Vector calculus and field geometry

Mathematical Methods for Physics, Ch Line, surface and volume integrals

Problem

A force field is

\mathbf{F} = (2y, x, 0)\ \mathrm{N}

, with

x

and

y

in metres. A small object is pulled at slow, steady speed along the straight-line path from

(0,0,0)\ \mathrm{m}

(2,3,0)\ \mathrm{m}

, so that friction and inertia can be ignored and the work done on the object equals

\int_C \mathbf{F}\cdot\mathrm{d}\mathbf{r}

along that path. Find this work.

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