Consider a force . The work done by this force in moving a particle from point A(1, 0) to B(0, 1) along the line segment is :(All quantities are in SI units)

Engineering

Physics

Work Done by a Variable Force

Question

Consider a force $\vec{F} = - x \hat{i} + y \hat{j}$ . The work done by this force in moving a particle from point A(1, 0) to B(0, 1) along the line segment is :

(All quantities are in SI units)

$\frac{3}{2}$

$\frac{1}{2}$

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$W = \int \vec{F} . d \vec{s}$

$= (- x \hat{i} + y \hat{j}) . (dx \hat{i} + dy \hat{j})$

$= \int_{1}^{0} - xdx + \int_{0}^{1} ydy$