A particle moves along line segments from the origin to the points (1, 0, 0), (1, 4, 1), (0, 4, 1), and back to the origin under the influence of the force field $F(x, y, z) = z^2i + 2xyj + 3y^2k$. Find the work done.
Added by Justin E.
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Then $x = t$, $y = 0$, $z = 0$, $0 \le t \le 1$. $dr = dt i$ $F(t, 0, 0) = 0i + 0j + 0k = 0$ $\int_{C_1} F \cdot dr = \int_0^1 0 dt = 0$ Show more…
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