Work:

$\overline{){\mathbf{W}}{\mathbf{=}}{{\mathbf{\int}}}_{{\mathbf{i}}}^{{\mathbf{f}}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{F}}{\mathbf{\xb7}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{d}\mathbf{l}}}$

dl = (dx i + dy j)

F = -12x^{2} i

x_{1} = 0.1 m, x_{2} = 0.1 m

y_{1} = 0 m, y_{2} = 0.4 m

In an experiment, one of the forces exerted on a proton is F = αx^{2} i, where α = 12 N/m^{2}.

How much work does *F* do when the proton moves along the straight-line path from the point (0.10m, 0) to the point (0.10m, 0.40m)?

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